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Publications
Research interests: Associative rings; Automata, combinatorics on words, formal languages; Computational complexity; Group representations; Non-associative rings; Semigroups; Universal algebra
11. (with L.N. Shevrin and B.M. Vernikov) Lattices of semigroup varieties, Izv. VUZ. Matematika (2009) no.3, 3-37. [Russian; English translation: Russian Mathematics (Iz. VUZ) (2009) 53, no.3, 1-28].
10. Synchronizing automata and the Ĉernỳ conjecture, in C. Martin-Vide, F. Otto, H. Fernau (eds.), Languages and Automata: Theory and Applications. LATA 2008. [Lect. Notes Comp. Sci., 5196], Springer-Verlag, Berlin-Heidelberg-N.Y., 2008, 11-27
9. Synchronizing automata and the Ĉernỳ conjecture, in Pre-proc. 2nd Int. Conf. on Languages and Automata Theory and Applications, Research Group on Mathematical Linguistics, Report 36/08, Universitat Rovira i Virgili, Tarragona, 2008, 23-42.
8. Lev Naumovich Shevrin: fifty years in the service of mathematics, Semigroup Forum, 2008, 76, no.2, 185-191.
7. (with D. S. Ananichev, I. V. Petrov) Collapsing words: a progress report, Int. J. Foundations Comp. Sci. (2006) 17, no.3, 507-518.
6. (with D. S. Ananichev, I. V. Petrov) Collapsing words: a progress report, in C. de Felice, A. Restivo (eds.), Developments in Language Theory, Proc. 9th Int. Conf. DLT 2005 [Lect. Notes Comp. Sci. 3572], Springer-Verlag, Berlin-Heidelberg-N.Y., 2005, 11-21.
5. György Pollák's work on the theory of semigroup varieties: its significance and its influence so far, Acta Sci. Math. Szeged (2002) 68, no.1, 9-28.
4. Some open problems concerning relatively free and free profinite semigroups, Semigroup Forum (2002) 64, no.2, 224-235.
3. The finite basis problem for finite semigroups, Math. Japonica (2001), 53, no.1, 171-199. (The link refers to a version of the survey that is occasionally updated. The last update: August 2009, 5.2 Mb)
2. The finite basis problem for finite semigroups: a survey, in P. Smith, E. Giraldes, P. Martins (eds.), Proc. Int. Conf. on Semigroups, World Scientific, Singapore, 2000, 244-279.
1. (with L. N. Shevrin) Identities of semigroups, Izv. VUZ. Matematika (1985) no.11, 3-47 [Russian; Engl. translation Soviet Math Izv. VUZ (1985) 29, no.11, 1-64].
2010-2005 (127-92) 2004-2000 (91-66) 1999-1994 (65-46) 1993-1984 (45-18) 1983-1977 (17-1)
127. (with S. V. Goldberg and S. I. Kublanovsky) A minimal non finitely based semigroup whose variety is polynomially recognizable, Fundamentalnaya i prikladnaya matematika (Russian, submitted, preprint of English translation)
126. (with K. Auinger and I. Dolinka) Equational theories of semigroups with enriched signature (submitted, preprint)
125. (with D. S. Ananichev, V. V. Gusev) Slowly synchronizing automata and digraphs, in A. Kucera, P. Hlineny (eds.), Mathematical Foundations of Computer Science [Lect. Notes Comp. Sci., 6281], Springer-Verlag, Berlin-Heidelberg-N.Y., 2010, 55-65.
124. (with J. Almeida, S. W. Margolis, B. Steinberg) Characterization of group radicals with an application to Mal'cev products, Illinois J. Math. (accepted, preprint)
123. (with M. Jackson) The algebra of adjacency patterns: Rees matrix semigroups with reversion, in A. Blass, N. Dershowitz, W. Reisig (eds.), Fields of Logic and Computation, Essays Dedicated to Yuri Gurevich on the Occasion of His 70th Birthday [Lect. Notes Comp. Sci., 6300], Springer-Verlag, Berlin-Heidelberg-N.Y. 2010, 414-443.
122. (with E. W. H. Lee) Limit varieties generated by completely 0-simple semigroups, Int. J. Algebra and Computation (accepted)
121. (with V. H. Fernandes) On divisors of semigroups of order-preserving mappings of a finite chain, Semigroup Forum (accepted, preprint)
120. A reduction theorem for associative ring varieties whose subvariety lattice is distributive, Discussiones Mathematicae, General Algebra and Applications (accepted)
119. (with D. Easdown and M. V. Sapir) Periodic elements of the free idempotent generated semigroup on a biordered set, Int. J. Algebra and Computation (2010) 20, no.2, 189-194.
118. Synchronizing automata preserving a chain of partial orders, Theor. Comput. Sci. (2009) 410, no.37, 3513-3519.
117. (with I. A. Mikhailova) Patterns avoidance by palindromes, Theor. Comput. Sci. (2009) 410, no.30-32, 2992-2998.
116. (with M. Jackson) Undecidable problems for completely 0-simple semigroups, J. Pure and Applied Algebra (2009) 213, no.10, 1961-1978.
115. (with J. Almeida, S. W. Margolis, B. Steinberg) Representation theory of finite semigroups, semigroup radicals and formal language theory, Trans. Amer. Math. Soc. (2009) 361, no.3, 1429-1461.
114. (with M. Jackson) Relatively inherently nonfinitely q-based semigroups, Trans. Amer. Math. Soc. (2009) 361, no.4, 2181-2206.
113. Synchronizing automata and the Ĉernỳ conjecture, in C. Martin-Vide, F. Otto, H. Fernau (eds.), Languages and Automata: Theory and Applications. LATA 2008. [Lect. Notes Comp. Sci., 5196], Springer-Verlag, Berlin-Heidelberg-N.Y., 2008, 11-27.
112. (with L.N. Shevrin and B.M. Vernikov) Lattices of semigroup varieties, Izv. VUZ. Matematika (2009) no.3, 3-37. [Russian; English translation: Russian Mathematics (Iz. VUZ) (2009) 53, no.3, 1-28].
111. (with J. Almeida, S.V. Goldberg) Complexity of the identity checking problem in finite semigroups, Zapiski Nauchnyh Seminarov POMI [Studies in Constructive Mathematics and Mathematical Logic. XI] (2008) 358, 5-22. [Russian; English translation: J. Math. Sci. (2009) 158, no.5, 605-614].
110. Synchronizing automata and the Ĉernỳ conjecture, in Pre-proc. 2nd Int. Conf. on Languages and Automata Theory and Applications, Research Group on Mathematical Linguistics, Report 36/08, Universitat Rovira i Virgili, Tarragona, 2008, 23-42.
109. (with D. S. Ananichev, Yu. I. Zaks) Synchronizing automata with a letter of deficiency 2, Theor. Comp. Sci. (2007) 376, no.1-2, 30-41.
108. (with E. W. H. Lee) On the structure of the lattice of combinatorial Rees-Sushkevich varieties, in J.M.André e.a. (eds.), Proc. Int. Conf. "Semigroups and Formal Languages'' in honour of the 65th birthday of Donald B. McAlister, World Scientific, Singapore, 2007, 164-187.
107. Synchronizing automata preserving a chain of partial orders, in J. Holub, J.Zdarek (eds.), Implementation and Application of Automata. Proc. 12th Int. Conf. CIAA 2007. [Lect. Notes Comp. Sci. 4783], Springer-Verlag, Berlin-Heidelberg-N.Y., 2007, 27-37.
106. (with I. A. Mikhailova) Patterns avoidance by palindromes, in P. Arnoux, N.Bedaride, J. Cassaigne (eds.), WORDS 2007. Proc. 6th Int. Conf. on Words, Institute de Mathematiques de Luminy, Marseille, 2007, 212-221.
105. (with D. S. Ananichev, I. V. Petrov) Collapsing words: a progress report, Int. J. Foundations Comp. Sci. (2006) 17, no.3, 507-518.
104. (with D. S. Ananichev, Yu. I. Zaks) Synchronizing automata with a letter of deficiency 2, in O. H. Ibarra, Zhe Dang (eds.), Developments in Language Theory, Proc. 10th Int. Conf. DLT 2006 [Lect. Notes Comp. Sci. 4036], Springer-Verlag, Berlin-Heidelberg-N.Y., 2006, 433-442.
103. (with F. Pastijn) D-compatible varieties of semigroups, J. Algebra (2006) 299, no.1, 62-93.
102. (with F. Pastijn) Cryptic varieties of semigroups, Semigroup Forum (2006)1 72, no.2, 159-189.
101. (with B. M.Vernikov) Modular elements of the lattice of semigroup varieties, II, Contrib. Gen. Algebra (2006) 17, 171-188.
100. (with J. Almeida) Subword complexity of profinite words and subgroups of free profinite semigroups, Int. J. Algebra and Computation (2006) 16, no.2, 221-258.
99. (with J. Almeida, S. W. Margolis) The pseudovariety of semigroups of triangular matrices over a finite field, Theor. Informatics and Applications (2005) 39, no.1, 31-48.
98. Modular elements of the lattice of semigroup varieties, Contrib. Gen. Algebra (2005) 16, 275-288.
97. (with D. S. Ananichev, I. V. Petrov) Collapsing words: a progress report, in C. de Felice, A. Restivo (eds.), Developments in Language Theory, Proc. 9th Int. Conf. DLT 2005 [Lect. Notes Comp. Sci. 3572], Springer-Verlag, Berlin-Heidelberg-N.Y., 2005, 11-21.
96. On a question by Edmond W. H. Lee, Izvestija Ural'skogo Universiteta. Matematika i Mekhanika (2005) no.36, 167-178.
95. (with J. Almeida, S. W. Margolis, B. Steinberg) Modular and threshold subword counting and matrix representations of finite monoids, in S. Brlek, C. Reutenauer (eds.), Words 2005, 5th Int. Conf. on Words, 13-17 September 2005, Acts, Publications du Laboratoire de Combinatoire et d'Informatique Mathématique, UQAM 36 (2005) 65-78.
94. (with F. Pastijn) R-compatible varieties of semigroups, Acta Sci. Math. (Szeged) (2005) 71, no.3-4, 521-554.
93. (with D. S. Ananichev) Synchronizing generalized monotonic automata, Theor. Comp. Sci. (2005) 330, no.1, 3-13.
92. Reflexive relations, extensive transformations and piecewise testable languages of a given height, Int. J. Algebra and Computation (2004) 14, no.5-6, 817-827.
91. (with D. S. Ananichev) Some results on Ĉernỳ type problems for transformation semigroups, in I. Araujo e.a. (eds.), Semigroups and Languages, World Scienti c, Singapore, 2004, 23-42.
90. (with I. A. Goldberg) The finite basis problems for monoids of unitriangular boolean matrices, in Algebraic Systems, Formal Languages, and Conventional and Unconventional Computation Theory [Surikaisekikenkyusho Kokyuroku 1366], Research Institute for Mathematical Sciences, Kyoto University, 2004, 205-214.
89. (with S. Margolis, J.-E. Pin) Words guaranteeing minimum image, Int. J. Foundations Comp. Sci. (2004) 15, no.2, 259-276.
88. (with B. M. Vernikov) Semimodular and arguesian semigroup varieties: a complete description, Izvestija Ural'skogo Universiteta. Matematika i Mekhanika (2004) no.30, 5-36 [Russian].
87. Checking quasi-identities in a finite semigroup may be computationally hard, Studia Logica (2004) 78, no.1-2, 349-356.
86. (with G. V. Tanana) On sums of radical and regular rings, Fundamentalnaya i prikladnaya matematika (2003) 9, no.1, 71-75 [Russian; Engl. translation J. Math. Sciences (2005) 128, no.6, 3378-3380].
85. (with D. S. Ananichev and A. Cherubini) Image reducing words and subgroups of free groups, Theor. Comp. Sci. (2003) 307, no.1, 77-92.
84. (with D. F. Cowan, N. R. Reilly, P. G. Trotter) The finite basis problem for quasivarieties and pseudovarieties generated by regular semigroups. I. Quasivarieties generated by regular semigroups, J. Algebra (2003) 267, no.2, 635-653.
83. (with S. Margolis and J.-E. Pin) Words guaranteeing minimal image, in M. Ito, T. Imaoka (eds.), Words, Languages and Combinatorics. III, World Scientific, Singapore, 2003, 297-310.
82. (with D. S. Ananichev) Synchronizing monotonic automata, in Z. Esik, Z. Fűlop (eds.), Developments in Language Theory, Proc. 7th Internat. Conf. DLT 2003 [Lect. Notes Comp. Sci. 2710], Springer-Verlag, Berlin-Heidelberg-N.Y., 2003, 111-121.
81. (with J. Almeida) Profinite identities for finite semigroups whose subgroups belong to a given pseudovariety, J. Algebra and its Applications (2003) 2, no.2, 137-163
80. (with I. A. Goldberg) Identities of semigroups of triangular matrices over finite fields, Mat. Zametki (2003) 73, no.4, 502-510 [Russian; Engl. translation Math. Notes (2003) 73, no.4, 474-481]
79. (with D. S. Ananichev and A. Cherubini) An inverse automata algorithm for recognizing 2-collapsing words, in M. Ito, M. Toyama (eds.), Developments in Language Theory, 6th Internat. Conf. DLT 2002 [Lect. Notes Comp. Sci. 2450], Springer-Verlag, Berlin-Heidelberg-N.Y., 2003, 270-282.
78. (with J. Almeida) Profinite methods in finite semigroup theory, in Proc. Int. Conf. on Math. Logic, Novosibirsk State Univ., Novosibirsk, 2002, 3-28
77. (with A. Bulatov and P. Jeavons) Finite semigroups imposing tractable constraints, in G. M. S. Gomes, J.-E. Pin and P. V. Silva (eds.), Semigroups, Algorithms, Automata and Languages, World Scientific, Singapore, 2002, 313-329
76. Semimodular and arguesian semigroup varieties: identities, Izvestija Ural'skogo Universiteta. Matematika i Mekhanika (2002) no.22, 44-63 [Russian]
75. György Pollák's work on the theory of semigroup varieties: its significance and its influence so far, Acta Sci. Math. Szeged (2002) 68, no.1, 9-28.
74. Some open problems concerning relatively free and free profinite semigroups, Semigroup Forum (2002) 64, no.2, 224-235.
73. (with D. S. Ananichev) Collapsing words vs. synchronizing words, in W. Kuich, G. Rozenberg, A. Salomaa (eds.), Developments in Language Theory [Lect. Notes Comput. Sci. 2295], Springer-Verlag, Berlin-Heidelberg-N.Y., 2002, 166-174.
72. Decidability of finite quasivarieties generated by certain transformation semigroups, Algebra Universalis (2001) 46, no.1, 97-103.
71. The finite basis problem for finite semigroups, Math. Japonica (2001), 53, no.1, 171-199.
70. (with J. Almeida and P. M. Higgins) The gap between partial and full: an addendum, Int. J. Algebra and Computation (2001), 11, no.1, 131-135.
69. (with B. M. Vernikov) Commuting fully invariant congruences on free semigroups, Contrib. Gen. Algebra (2000), 12, 391-417.
68."Forbidden divisor" characterizations of epigroups with certain properties of group elements, "Algebraic Systems, Formal Languages and Computations" (RIMS Kokyuroku 1166), Research Institute for Mathematical Sciences, Kyoto University, 2000, 226-234.
67. (with B. M. Vernikov) The structure of lattices of nil-semigroup varieties, Izvestija Ural'skogo Universiteta. Matematika i Mekhanika (2000) no.18, 34-52 [Russian].
66. The finite basis problem for finite semigroups: a survey, in P. Smith, E. Giraldes, P. Martins (eds.), Proc. Int. Conf. on Semigroups, World Scientific, Singapore, 2000, 244-279.
65. Conditional equations for pseudovarieties, in C. L. Nehaniv, M. Ito (eds.) Algebraic Engineering, World Scienti c, Singapore, 1999, 376-389.
64. (with O. B. Paison and M. V. Sapir) Finite separability in varieties of associative rings, Algebra i logika (1999) 38, no.2, 201-227 [Russian; Engl. translation Algebra and Logic (1999) 38, no.2, 107-120].
63. (with G. V. Tanana) Varieties of adjoined regular rings. Izvestija Ural'skogo Universiteta. Matematika i Mekhanika (1999) no.14, 23-28 [Russian].
62. (with J. Almeida) The gap between partial and full, Int. J. Algebra and Computation (1998) 8, no.3, 399-430.
61. (with D. S. Ananichev) Varieties of soluble Lie rings of finite width, Mat. Zametki (1998) 63, no.5, 643-650 [Russian].
60. (with V. B. Repnitski ) The finite basis problem for the pseudovariety O, Proc. Royal Soc. Edinburgh (1998) 128A, 661-669.
59. (with B. M. Vernikov) Lattices of nilpotent semigroup varieties. II, Izvestija Ural'skogo Universiteta. Matematika i Mekhanika (1998) no.10, 13-33 [Russian].
58. The finite basis problem for the pseudovariety PO, in J. M. Howie and N. Rukuc (eds.), Semigroups and Applications, World Scientific, Singapore, 1998, 239-257
57. (with E. Graczyńska and R. Pöschel) Solid pseudovarieties, in General Algebra and Applications to Discrete Mathematics, Shaker Verlag, Aachen, 1997, 93-110.
56. (with B. M. Vernikov) Permutability of fully invariant congruences on relatively free semigroups, Acta Sci. Math. (Szeged) (1997) 63, no.3-4, 437-461.
55. (with P. G. Trotter) The finite basis problem in the pseudovariety joins of aperiodic semigroups with groups, Semigroup Forum (1996) 52, no.1, 83-91.
54. Covers in the lattices of semigroup varieties and pseudovarieties, in J. Almeida, G. M. S. Gomes, P. V. Silva (eds.), Semigroups, Automata and Languages, World Scientific, Singapore, 1996, 263-280.
53. (with F. Pastijn) Minimal non-cryptic e-varieties of regular semigroups, J. Algebra (1996) 184, no.3, 881-896.
52. (with A. V. Tishchenko) A characterization of semigroup varieties of finite index in the "forbidden divizors" language, Izv. VUZ. Matematika (1995) no.1, 91-99 [Russian; Engl. translation Russ. Math., Izv. VUZ (1995) 39, no.1, 84-92].
51. (with A. S. Vernitski ) A proof and a generalisation of Higgins's division theorem for semigroups of order-preserving mappings, Izv. VUZ. Matematika (1995) no.1, 38-44 [Russian; Engl. translation Russ. Math., Izv. VUZ (1995) 39, no.1, 34-39].
50. (with N. N. Silkin) Associatively amalgamatable varieties of rings, Mat. Zametki (1995) 57, no.2, 203{213 [Russian; Engl. translation Math. Notes (1995) 57, no.1-2, 141-147].
49. On a class of semigroup pseudovarieties without finite pseudoidentity basis, Int. J. Algebra and Computation (1995) 5, no.2, 127-135.
48. (with M. V. Sapir) On the join of semigroup varieties with the variety of commutative semigroups, Proc. Amer. Math. Soc. (1994) 120, no.2, 345-348.
47. Young diagrams and the structure of the lattice of overcommutative semigroup varieties, in Transformation Semigroups. Proc. Int. Conf. held at the Univ. of Essex, Colchester, 1994, 99-110.
46. (with R. Pöschel, M. V. Sapir, N. Sauer, M. Stone) Identities in full transformation semigroups, Algebra Universalis (1994) 31, no.4, 580-588.
45. Varieties of associative rings whose critical rings are basic, Sib. Mat. Zh. (1993) 34, no.1, 38-46 [Russian; Engl. translation Siberian Math. J. (1993) 34, no.1, 30-36].
44. (with B. M. Vernikov) Structure of lattices of nilpotent semigroup varieties, in Semigroups: Algebraic Theory and Applications to Formal Languages and Codes, World Scientific, Singapore, 1993, 297-299
43. Semigroup varieties with modular subvariety lattice. II, Izv. VUZ. Matematika (1992) no.7, 3-8 [Russian; Engl. translation Russ. Math., Izv. VUZ (1992) 36, no.7, 1-6].
42. Semigroup varieties with modular subvariety lattice. III, Izv. VUZ. Matematika (1992) no.8, 21-29 [Russian; Engl. translation Russ. Math., Izv. VUZ (1992) 36, no.8, 18-25].
41. Semigroup varieties with modular subvariety lattices, Dokl. RAN (1992) 326, no.3, 409{413 [Russian; Engl. translation Russ. Acad. Sci. Dokl. Math. (1993) 46, no.2, 274-278].
40. Semigroup varieties with commuting fully invariant congruences on free objects, Contemp. Math. (1992) 131, part 3, 295-316.
39. Commutative semigroup varieties with distributive subvariety lattices, Contrib. Gen. Algebra (1991) 7, 351-359.
38. (with T. A. Ershova) The lattice of varieties of semigroups with completely regular square, in Monash Conf. on Semigroup Theory in Honour of G B Preston, World Scientific, Singapore, 1991, 306-322.
37. (with B. M. Vernikov) Commutative semigroup varieties with modular subvariety lattices, in Monoids and Semigroups with Applications. Proc. Berkeley Workshop in Monoids, World Scientific, Singapore, 1991, 233-253.
36. A general finite basis condition for systems of semigroup identities, Semigroup Forum (1990) 41, no.2, 183-194.
35. (with A. V. Kelarev) Separation of the radical in ring varieties. II. Acta Sci. Math. (Szeged) (1990) 54, no.1-2, 53-56.
34. (with S. Vovsi) On multilinear identities of group representations, Comm. Algebra (1990) 18, no.2, 389-401.
33. On finite basedness of semigroup varieties, Mat. Zametki (1989) 45, no.3, 12-23 [Russian; Engl. translation Math. Notes (1989) 45, no.3, 187-194].
32. Semigroup varieties with modular subvariety lattice, Izv. VUZ. Matematika (1989) no.6, 51-60 [Russian; Engl. translation Soviet Math. Izv. VUZ (1989) 33, no.6, 48-58].
31. Ring varieties determined by their subvariety lattices, Mat. Zapiski UrGU (1989) 14, no.4, 37-55 [Russian].
30. (with M. V. Sapir) HFB property and structure of semigroups, Contrib. Gen. Algebra (1988) 6, 303-310.
29. (with B. M. Vernikov) Lattices of nilpotent semigroup varieties, Mat. Zapiski UrGU (1988) 14, no.3, 53-65 [Russian].
28. Identities in the lattices of ring varieties, Algebra Universalis (1986) 23, no.1, 32-43.
27. (with A. V. Kelarev) Varieties and bands of associative rings, Izv. VUZ. Matematika (1986) no.9, 16-23 [Russian; Engl. translation Soviet Math. Izv. VUZ (1986) 30, 21-33]; MR 88e:16033, Zbl 618.16015
26. On the identity bases of Brandt semigroups, Mat. Zapiski UrGU (1985) 14, no.1, 38-42 [Russian].
25. (with Gy. Pollák) On almost simple semigroup identities, in Semigroups. North Holland, Amsterdam, 1985, 287-323.
24. (with L. N. Shevrin) Identities of semigroups, Izv. VUZ. Matematika (1985) no.11, 3-47 [Russian; Engl. translation Soviet Math Izv. VUZ (1985) 29, no.11, 1-64].
23. Pronilpotent varieties of universal algebras, Mat. Zapiski UrGU (1984) 13, no.4, 39-41 [Russian].
22. Finite basis theorem for systems of semigroup identities, Semigroup Forum (1984) 28, no.1-3, 93-99.
21. Distributivity of certain lattices of varieties of associative rings, Sib. Mat. Zh. (1984) 25, no.6, 23-30 [Russian; Engl. translation Siberian Math. J. (1984) 25, no.6, 849-855].
20. On the join of varieties, Simon Stevin (1984) 58, no.4, 311-317.
19. (with B. M. Vernikov) Dualisms in lattices of varieties of associative rings, Izv. VUZ. Matematika (1984) no.9, 66-69 [Russian; Engl. translation Soviet Math. Izv. VUZ (1984) 28, no.9, 90-94]. Correction ibid. (1986) no.4, 86 [Russian; Engl. translation Soviet Math. Izv. VUZ (1986) 30, no.4, 111].
18. (with B. M. Vernikov) Dualisms in lattices of varieties of associative rings, Mat. Zapiski UrGU (1984) 13, no.4, 11-38 [Russian]. Correction ibid. (1987) 14, no.2, 141-142 [Russian].
17. On the lower floors of the lattice of associative ring varieties, Mat. Zapiski UrGU (1983) 13, no.3, 25-36 [Russian].
16. Varieties of associative rings with the property of embeddability of amalgams, Mat. Zametki (1983) 33, no.1, 3-13 [Russian; Engl. translation Math. Notes (1983) 33, no.1, 3-7].
15. Varieties of associative rings closed under ideal sums, Comment. Math. Univ. Carolinć (1983) 24, no.1, 101-103.
14. On the join of semigroup varieties, Contrib. Gen. Algebra (1983) 2, 365-373.
13. Separation of the radical in ring varieties, Acta Sci. Math. (Szeged) (1983) 46, no.1, 73-75.
12. An example of a limit variety of semigroups, Semigroup Forum (1982) 24, no.4, 319-326.
11. On finite basedness of ring varieties of a finite index. III, Mat. Zapiski UrGU (1982) 13, no.1, 3-6 [Russian].
10. (with A. G. Gein) Identities in almost nilpotent Lie rings, Mat. Sbornik (1982) 118, no.1, 132-142 [Russian; Engl. translation Math. USSR, Sb. (1983) 46, 133-142].
9. (with B. M. Vernikov) Complemented lattices of varieties and quasivarieties, Izv. VUZ. Matematika (1982) no.11, 17-20 [Russian; Engl. translation Soviet Math. Izv. VUZ (1982) 26, 19-24].
8. Lattices of varieties of nilpotent rings, Mat. Zapiski UrGU (1981) 12, no.3, 19-34 [Russian].
7. Finiteness of a basis of identities of some associative rings, Sib. Mat. Zh. (1981) 22, no.4, 79-87 [Russian; Engl. translation Siberian Math. J. (1982) 22, no.4, 545-551].
6. (with B. M. Vernikov) Finite basedness of some varieties satisfying a permutation identity, Mat. Zapiski UrGU (1980) 12, no.2, 3-23 [Russian].
5. Periodic varieties of associative rings, Izv. VUZ Matematika (1979) no.8, 3-13 [Russian; Engl. translation Soviet Math. Izv. VUZ (1979) 23, no.1, 1-12].
4 .(with B. M. Vernikov) Almost chain varieties of alternative rings, Mat. Zapiski UrGU (1979) 11, no.3, 22-39 [Russian]. Correction ibid. (1983) 13, no.3, 158 [Russian].
3. Lattices of varieties of algebras, Mat. Sbornik (1979) 109, no.1, 60-79 Russian; Engl. translation Math. USSR, Sb. (1980) 37, no.1, 53-69].
2. On finite basedness of ring varieties of a finite index. II, Mat. Zapiski UrGU (1979) 11, no.3, 40-43 [Russian].
1. On finite basedness of ring varieties of a finite index, Mat. Zapiski UrGU (1977) 10, no.3, 26-32 [Russian].
(with V. Diekert, A. Voronkov) Computer Science - Theory and Applications. 2nd International Symposium on Computer Science in Russia, CSR 2007. Ekaterinburg, Russia, September 2007, Proceedings. [Lect. Notes Comp. Sci. 4649], Springer-Verlag, Berlin-Heidelberg-N.Y., 2007.
(with L. N. Shevrin, V. A. Baranskii, Ju. M. Vazhenin, A. G. Gein, A. P. Zamjatin, A. Ja. Ovsjannikov, A. N. Petrov, N. F. Sesekin) Problem book in general algebra and discrete mathematics, Ural University Publishing, Ekaterinburg, 2003, 140 pp. [Russian]
(with V. V. Rasin, D. S. Ananichev, A. G. Gein, S.P. Khomenko, A. M. Shur, V.P. Ivanova) Entrance exams in mathematics in Ural State University in 2003. Ural University Publishing, Ekaterinburg, 2003, 44 pp. [Russian]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Teacher's companion for the textbook Mathematics 5. Education Publishing, Moscow, 2003, 160 pp. [Russian]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Exercise Notebook accompanying the textbook Mathematics 6. Education Publishing, Moscow, 2002 (2nd revised and expanded edition), 144pp. [Russian]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Exercise Notebook accompanying the textbook Mathematics 5. Education Publishing, Moscow, 2002 (2nd revised and expanded edition), 144pp. [Russian]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Mathematics 6 (A textbook for secondary schools.) Education Publishing, Moscow, 2001 (4th revised and expanded edition), 288 pp. [Russian]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Mathematics 5 (A textbook for secondary schools.) Education Publishing, Moscow, 2000 (4th revised and expanded edition), 368pp. [Russian]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Exercise Notebook accompanying the textbook Mathematics 6. Education Publishing, Moscow, 1997, 80pp. [Russian]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Exercise Notebook accompanying the textbook Mathematics 5. Education Publishing, Moscow, 1996, 80pp. [Russian]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Mathematics 6 (A textbook for secondary schools.) Education Publishing, Moscow, 1992 (2nd edition 1995, 3rd edition 1997), 224pp. [Russian; Belorussian translation by People Education Publishing, Minsk, 1995, 224pp.]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Mathematics 5 (A textbook for secondary schools.) Education Publishing, Moscow, 1992 (2nd edition 1994, 3rd edition 1996), 320pp. [Russian; Belorussian translation by People Education Publishing, Minsk, 1994, 320pp.]
(with L. N. Shevrin, A. G. Gein, I. O. Koryakov) Mathematics 5-6. (A textbook for secondary schools.) Education Publishing, Moscow, 1989, 496pp. [Russian]
The Sverdlovsk notebook. Unsolved problems of the semigroup theory. 3rd issue. Edited by V. A. Baranski , M. V. Volkov, E. A. Golubov, L. N. Shevrin. Ural State University, Sverdlovsk, 1989, 40pp. [Russian]
III All-Union Symposium on the theory of semigroups. Abstracts of talks, Edited by V. A. Baranski , Ju. M. Vazhenin, M. V. Volkov, E. A. Golubov, A. P. Zamjatin, E. V. Sukhanov, L. N. Shevrin. Ural State University, Sverdlovsk, 1988, 112pp. [Russian]
G.Paun, G. Rozenberg and A. Salomaa, DNA Computing. New Computing Paradigms, translated from English by D. S. Ananichev, O. B. Finogenova, I. S. Kisileva, edited by M. V.Volkov. Mir, Moscow, 2004, 528 pp. [Russian]
Other scientific publications:
11. Lev Naumovich Shevrin: fifty years in the service of mathematics, Semigroup Forum, 2008, 76, no.2, 185-191.
10. (with M. O. Asanov and A. S. Lakhtin) Master programs at the Department of Mathematics and Mechanics of Ural State University, in Innovation Experience in Education and Science, Ural Publishers, 2005, 83-87 [Russian].
9. Asynchronous automaton, in V. Yu. Kozlov (ed.) Discrete Mathematics. Encyclopedia, Russian Encyclopedia, 2004, 27 [Russian].
8. Trace theory, in V. Yu. Kozlov (ed.) Discrete Mathematics. Encyclopedia, Russian Encyclopedia, 2004, 247{248 [Russian].
7. (with L. N. Shevrin) Pseudovarieties of universal algebras, in V. Yu. Kozlov (ed.) Discrete Mathematics. Encyclopedia, Russian Encyclopedia, 2004, 277-278 [Russian].
6. (with L. N. Shevrin) Varieties and quasivarieties, in G. Pilz, A. V. Mikhalev (eds.), Handbook on the core of algebras, Kluwer Academic Publishers, 2002, 465-469
5. (with L. N. Shevrin) Varieties of semigroups, in G. Pilz, A. V. Mikhalev (eds.), Handbook on the core of algebras, Kluwer Academic Publishers, 2002, 58-62
4. Pal Erdös: an unusual life and incredible mathematics, MIF (1998/99) no.2, 4-11 [Russian]
3. The finite basis problem, MIF (1996/97) no.2, 4-15; 79-81 [Russian]
2. (with L. N. Shevrin, A. G. Gein, I. O. Koryakov) On the book "Mathematics 5-6", Matematika v shkole (1989) no.2, 78-87; no.3, 87-95 [Russian]
1. (with N. N. Silkin) Who should be sent to Mars? Quant (1988) no.8, 51-57; no.9, 75-77 [Russian]
