Lev N. Shevrin     (Ural Federal University, Ekaterinburg, Russian Federation)


The aim of the present article is to give a characterization of distinctive features of the scientic seminar founded and led by the author as well as to show the main sides of its activities during half a century.


Algebraic systems, Ekaterinburg seminar, Sides of activities.

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Shevrin L.N. Formation of the Sverdlovsk algebraic school // Izvestiya Ural'skogo gosudarstvennogo universiteta (Matematika i mehanika), 2001. No. 18(3). P. 64–78 (in Russian).

Shevrin L.N. A word about Petr Grigor'evich Kontorovich // Izvestiya Ural'skogo gosudarstvennogo universiteta (Matematika i mehanika), 2005. No. 36(7). P. 7–12 (in Russian).

Sesekin N.F., Starostin A.I., Shevrin L.N. On scientic words of P. G. Kontorovich, ibid. P. 13–24 (in Russian).

Shevrin L.N. On the seminar "Algebraic Systems" // Izvestiya Ural'skogo gosudarstvennogo universiteta (Matematika i mehanika), 1998. No. 10(1). P. 167–173 (in Russian).

Shevrin L.N. The Ekaterinburg seminar Algebraic Systems: 40 years of activities // In: The website of the European Academy of Sciences,

General Algebra, ed. L. A. Skornjakov // Nauka (Science), Vol. 1, 1990; Vol. 2, 1991.

The Concise Handbook of Algebra, eds. A. V. Mikhalev, G. F. Pilz, Kluwer Academic Publihers, 2002.

Shevrin L.N., Ovsyannikov A.J. Semigroups and their subsemigroup lattices // Semigroup Forum, 1983. Vol. 27, P. 3–154.

Ševrin L. N., Martynov L. M., Attainability and solvability for classes of algebras // Semigroups (Coll. Math. Soc. J. Bolyai. 39), eds. G. Pollák, Št. Schwarz, O. Steinfeld, North-Holland, 1985. P. 397–459.

Shevrin L.N., Volkov M.V. Identities of semigroups // Izvestiya VUZ Matematika, 1985. No. 11, P. 3–47. English translation: Soviet Mathematics (Iz. VUZ), 1985. Vol. 29, no. 11. P. 1–64.

Vazhenin Yu.M. Decidability of theories of the rst order of classes of semigroups // Matematicheskie zapiski (Ural State University), 1988. Vol. 14, no. 3. P. 23–40 (in Russian).

Shevrin L.N., Sukhanov E.V. Structural aspects of the theory of varieties of semigroups// Izvestiya VUZ Matematika, 1989. No. 6, P. 3–39. English translation: Soviet Mathematics (Iz. VUZ), 1990, Vol. 33, no. 6, P. 1–34.

Kelarev A.V. A general approach to the structure of radicals in some ring constructions // Theory of Radicals (Coll. Math. Soc. J. Bolyai, 61), 1993, eds. L. Márki, R. Wiegandt, North-Holland. P. 131–144.

Kelarev A.V. Radicals of semigroup rings of commutative semigroups // Semigroup Forum, 1994. Vol. 48. P. 1–17.

Kharlampovich O.G., Sapir M.V. Algorithmic problems in varieties // Inter. J. Algebra and Comput., 1995. Vol. 5. P. 379–602.

Bulatov A., Krokhin A., San K., Sukhanov E. On the structure of clone lattices // General Algebra and Discrete Mathematics, eds. K. Denecke, O.Lüders, Heldermann–Verlag, 1995. P. 27–34.

Bulatov A., Krokhin A., San K., Semigrodskikh A., Sukhanov E. On the structure of clone lattices, II // Multi. Val. Logic, 2001. Vol. 7, P. 379–389.

Volkov M.V. The nite basis problem for nite semigroups // Scientiae Mathematicae Japonicae, 2001. Vol. 53. P. 171–199.

Krokhin A., Bulatov A., Jeavons P. The complexity of constraint satisfaction: an algebraic approach //Structural Theory of Automata, Semigroups and Universal Algebra (NATO Science Series, II. Mathematics, Physics and Chemistry, 207), eds. V. B. Kudryavtsev, I. G. Rosenberg, Springer, 2005. P. 181–213.

Shevrin L.N., Epigroups, ibid. P. 331–380.

Vazhenin Yu.M., Pinus A.G. Elementary classication and decidability of theories of related structures // Uspekhi matem. nauk, 2005. Vol. 60, no. 3. P. 3–40 (in Russian).

Volkov M.V. Synchronizing automata and the Černý conjecture // Language and Automata Theory and Applications, LATA 2008 (Lecture Notes in Computer Science, Vol. 5196), eds. C. Martin-Vide, F. Otto, and Y. Fernau, Springer, 2008. P. 11–27.

Shevrin L.N. Epigroups: some open problems // Contemporary Differential Geometry and General Algebra (Abstracts of talks at the International scientic conference dedicated to the centennial of the birthday of Prof. V. V. Vagner), Saratov, 2008. P. 65–70 (in Russian).

Shevrin L.N. Lattice properties of epigroups // Fundament. and Applied Mathematics, 2008. Vol. 14, no. 6., P. 219–229. English translation: J. of Math. Sciences, 2010. Vol. 164, no. 1. P. 148–154.

Shevrin L.N., Vernikov B.M., Volkov M.V. Lattices of semigroup varieties // Izvestiya VUZ Matematika, 2009. no. 3. P. 3–36. English translation: Russian Mathematics (Iz. VUZ), 2009. Vol. 53, no. 3. P. 1–28.

Shevrin L.N. Semigroups with certain niteness conditions and Chernikov groups // "Algebra and Linear Inequalities. To the Centennial of the birthday of S. N. Chernikov", eds. I. I. Eremin and A. A. Makhnev, Ekaterinburg, 2012. P. 48–58. English translation: Algebra and Discrete Mathematics, 2012. Vol. 13, no. 2. P. 299-306.

Shur A.M. Growth properties of power-free languages // Computer Science Review, 2012. Vol. 6. P. 187–208.

Vernikov B.M. Special elements in lattices of semigroup varieties // Acta Sci. Math. (Szeged), 2015. Vol. 81. P. 79–109.

Shevrin L.N., Ovsyannikov A.J. Semigroups and Their Subsemigroup Lattices. Ural University Press, Part 1, 1990; Part 2, 1991.

Shevrin L.N., Ovsyannikov A.J. Semigroups and Their Subsemigroup Lattices (revised and enlarged English version of the monograph [29]), Kluwer Academic Publishers, 1996.

Sapir M.V. Combinatorial Algebra: Syntax and Semantics. Springer, 2014.

Shevrin L.N. Semigroup, Great Soviet Encyclopaedia. Soviet Encyclopaedia Publishers, 3rd edition. Vol. 20, 1975.

Mathematical Encyclopaedia, Vol. 1–5, Soviet Encyclopaedia Publishers, 1977–1985.

Mathematical Encyclopaedic Dictionary, Soviet Encyclopaedia Publishers, 1988.

Shevrin L.N. Semigroups, Chapter IV in [6], Vol. 2. P. 11–191.

Discrete Mathematics: Encyclopaedia, Great Russian Encyclopaedia Publishers, 2004.

Contemporary Science: Encyclopaedia, Vol. 1–10, Nauka : Flinta, 1999–2000.

Asanov M.O., Baransky V.A., Rasin V.V. Discrete Mathematics: Graphs, Matroids, Algorithms, Publishing House "Regular and Chaotic Dynamics", 2001.

The Collection of Problems on General Algebra and Discrete Mathematics, ed. L. N. Shevrin, compilers: V. A. Baransky, Yu. M. Vazhenin, M. V. Volkov, A. G. Gein, A. P. Zamyatin, A. J. Ovsyannikov, A. N. Petrov, N. F. Sesekin, and L. N. Shevrin, Ural University Press, 2003.

Shur A.M., Combinatorics on words, Ural University Press, 2003.

Zamyatin A.P., Shur A.M. Languages, Grammars, Acceptors, Ural University Press, 2007.

Sizyi S.V. Lectures on Number Theory, Fizmatlit, 2007.

Sizyi S.V. Lectures on Differential Geometry, Fizmatlit, 2007.

Baransky V.A., Kabanov V.V. General algebra and its applications, Ural University Press, 2008.

Clifford A.H., Preston G.B. The Algebraic Theory of Semigroups, volumes 1, 2, translated by V. A. Baransky (11 chapters) and V. G. Zhitomirsky (one chapter), edited by L. N. Shevrin, Mir (World), 1972.

Lallement G. Semigroups and Combinatorial Applications, translated by I. O. Koryakov, edited by L. N. Shevrin, Mir, 1985.

Lidl R., Pilz G. Applied Abstract Algebra, translated by I. O. Koryakov, edited by L. N. Shevrin, Ural University Press, 1996.

Paun Gh., Rozenberg G., Salomaa A. DNA Computing: New Computing Paradigms, translated by D. S. Ananichev (4 chapters), O. B. Finogenova (6 chapters), and I. S. Kiseleva (one chapter), edited by M. V. Volkov, Mir, 2004.

Van Tilborg H.C.A. Fundamentals of Cryptology, translated by D. S. Ananichev (7 chapters) and I. O. Koryakov (8 chapters), edited by I. O. Koryakov, Mir, 2006.

The Sverdlovsk Tetrad, ed. L. N. Shevrin, Semigroup Forum, 1972. Vol. 4. P. 274–280.


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