Semigroup Forum

, Volume 76, Issue 2, pp 185–191 | Cite as

Lev Naumovich Shevrin: fifty years in the service of mathematics

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Books and book translations

  1. 1.
    (Editor) The Sverdlovsk Tetrad (Unsolved Problems of Semigroup Theory). Ural State University, Sverdlovsk (1969). English translation: Semigroup Forum 4, 274–280, 373 (1972). 2nd edn. (revised, enlarged and updated). Ural State University, Sverdlovsk (1979). 3rd edn. (revised, enlarged and updated). Ural State University, Sverdlovsk (1989) Google Scholar
  2. 2.
    (Editor) The Algebraic Theory of Semigroups, by A.H. Clifford and G.B. Preston, vols. 1 and 2, transl. by V.A. Baranskii and V.G. Zhitomirskii. Mir, Moscow (1972). Editor’s preface in vol. 1, pp. 5–8 Google Scholar
  3. 3.
    (Editor) Semigroups and Combinatorial Applications, by Gerard Lallement, transl. by I.O. Koryakov, Mir, Moscow (1985). Editor’s preface pp. 5–9 Google Scholar
  4. 4.
    (with A.J. Ovsyannikov) Semigroups and their Subsemigroup Lattices. Ural University Publishers, Sverdlovsk, Part 1 (1990); Part 2 (1991) Google Scholar
  5. 5.
    Semigroups. In: Skornyakov, L.A. (ed.) General Algebra, vol. 2, pp. 11–191. Nauka, Moscow (1991) Google Scholar
  6. 6.
    (with A.J. Ovsyannikov) Semigroups and their Subsemigroup Lattices (English translation of the monograph [4], revised, enlarged and updated). Kluwer Academic, Dordrecht (1996) Google Scholar
  7. 7.
    (Editor) Applied Abstract Algebra, by Rudolf Lidl and Günter Pilz, transl. by I.O. Koryakov. Ural University Publishers, Ekaterinburg (1996). Editor’s preface pp. ix–xii Google Scholar
  8. 8.
    (with V.A. Baranskii et al.) Problems in General Algebra and Discrete Mathematics. Ural University Publishers, Ekaterinburg (2003) Google Scholar

Research and survey papers

  1. 9.
    On densely embedded ideals of semigroups. Dokl. Akad. Nauk SSSR 131, 765–768 (1960). Correction: 164, 1214 (1965). English translation: Sov. Math. Dokl. 1, 348–351 (1960) Google Scholar
  2. 10.
    On subsemigroups of free semigroups. Dokl. Akad. Nauk SSSR 133, 537–539 (1960). English translation: Sov. Math. Dokl. 1, 892–894 (1960) Google Scholar
  3. 11.
    On the general theory of semigroups. Mat. Sb. 53, 367–386 (1961) Google Scholar
  4. 12.
    On lattice properties of semigroups. Dokl. Akad. Nauk SSSR 138, 73–76 (1961). English translation: Sov. Math. Dokl. 2, 558–561 (1961) Google Scholar
  5. 13.
    Semigroups with certain types of subsemigroup lattices. Dokl. Akad. Nauk SSSR 138, 796–798 (1961). English translation: Sov. Math. Dokl. 2, 737–740 (1961) Google Scholar
  6. 14.
    Semigroups all of whose subsemigroups coincide with their idealizers. Mat. Zap. Ural Univ. 3(1), 85–87 (1961) Google Scholar
  7. 15.
    On semigroups all of whose subsemigroups are nilpotent. Sib. Mat. Zh. 2, 936–942 (1961) Google Scholar
  8. 16.
    Nilsemigroups with certain finiteness conditions. Mat. Sb. 55, 473–480 (1961) Google Scholar
  9. 17.
    On lattice properties of semigroups. Sib. Mat. Zh. 3, 446–470 (1962). Correction: ibid. 5, 727 (1964) Google Scholar
  10. 18.
    Semigroups whose subsemigroup lattice is relatively complemented. Dokl. Akad. Nauk SSSR 144, 72–75 (1962). English translation: Sov. Math. Dokl. 3, 689–692 (1962) Google Scholar
  11. 19.
    (with V.M. Kopytov) Semigroups with relatively complemented subsemigroups. Dokl. Akad. Nauk SSSR 145, 1012–1015 (1962). English translation: Sov. Math. Dokl. 3, 1162–1166 (1962) Google Scholar
  12. 20.
    Semigroups with Dedekind subsemigroup lattice. Dokl. Akad. Nauk SSSR 148, 292–295 (1963). English translation: Sov. Math. Dokl. 4, 93–96 (1963) Google Scholar
  13. 21.
    (with V.M. Kopytov) Semigroups whose subsemigroup semilattice has relative complements. Mat. Zap. Ural Univ. 4(1), 74–83 (1963) Google Scholar
  14. 22.
    Semigroups whose subsemigroup lattice is a lattice with unique complements. Sib. Mat. Zh. 4, 709–711 (1963) Google Scholar
  15. 23.
    On semigroups all of whose subsemigroups are attainable. Mat. Sb. 61, 253–256 (1963) Google Scholar
  16. 24.
    Commutative semigroups of finite rank. Usp. Mat. Nauk 18, 201–204 (1963) Google Scholar
  17. 25.
    Semigroups with left idealizer condition. Mat. Zap. Ural Univ. 4(3), 59–68 (1963) Google Scholar
  18. 26.
    Lattice isomorphisms of commutative non-periodic cancellative semigroups. Mat. Sb. 63, 43–58 (1964). English translation: Am. Math. Soc. Transl. II Ser. 58, 77–92 (1966) Google Scholar
  19. 27.
    Projectivities of semilattices. Dokl. Akad. Nauk SSSR 154, 538–541 (1964). English translation: Sov. Math. Dokl. 5, 142–146 (1964) Google Scholar
  20. 28.
    A subsemigroup-lattice characteristic of commutative non-periodic groups. Sib. Mat. Zh. 5, 671–678 (1964) Google Scholar
  21. 29.
    A subsemigroup-lattice characteristic of orderable groups. Usp. Mat. Nauk 19, 74–83 (1964) Google Scholar
  22. 30.
    Basic problems in the theory of projectivities of semilattices. Mat. Sb. 66, 568–597 (1965). English translation: Am. Math. Soc. Transl. II Ser. 96, 1–35 (1970) Google Scholar
  23. 31.
    Lattice properties of idempotent semigroups. I. Sib. Mat. Zh. 6, 459–474 (1965) Google Scholar
  24. 32.
    Semigroups of finite breadth. In: Vagner, V.V. (ed.) Theory of Semigroups and its Applications, Issue 1, pp. 325–351. Saratov University (1965) Google Scholar
  25. 33.
    Certain finiteness conditions in the theory of semigroups. Izv. Akad. Nauk SSSR Ser. Mat. 29, 553–566 (1965). English translation: Am. Math. Soc. Transl. II Ser. 82, 193–207 (1969) Google Scholar
  26. 34.
    On locally finite semigroups. Dokl. Akad. Nauk SSSR 162, 770–773 (1965). English translation: Sov. Math. Dokl. 6, 769–772 (1965) Google Scholar
  27. 35.
    On isomorphousness of semigroups with relatively complemented subsemigroups. Mat. Zap. Ural Univ. 5(1), 92–100 (1965) Google Scholar
  28. 36.
    Strong bands of semigroups. Izv. VUZ Mat. No. 6, 156–165 (1965). English translation: Am. Math. Soc. Transl. II Ser. 94, 221–233 (1970) Google Scholar
  29. 37.
    On lattice isomorphisms of commutative holoid semigroups. Izv. VUZ Mat. No. 1, 153–160 (1966). English translation: Am. Math. Soc. Transl. II Ser. 94, 235–244 (1970) Google Scholar
  30. 38.
    On elementary lattice properties of semigroups. Dokl. Akad. Nauk SSSR 167, 305–308 (1966). English translation: Sov. Math. Dokl. 7, 395–398 (1966) Google Scholar
  31. 39.
    Lattice properties of idempotent semigroups. II. Sib. Mat. Zh. 7, 437–454 (1966). English translation: Sib. Math. J. 7, 357–369 (1966) Google Scholar
  32. 40.
    Elementary lattice properties of semigroups. Sib. Mat. Zh. 7, 664–684 (1966). English translation: Sib. Math. J. 7, 535–549 (1966) Google Scholar
  33. 41.
    Basic problems in the theory of projectivities of semilattices. II. Mat. Zap. Ural Univ. 5(3), 107–122 (1966) Google Scholar
  34. 42.
    On half-isomorphisms and lattice isomorphisms of cancellative semigroups. Dokl. Akad. Nauk SSSR 171, 296–298 (1966). Correction: ibid. 174, 348 (1967). English translation: Sov. Math. Dokl. 7, 1491–1493 (1966) Google Scholar
  35. 43.
    (with V.A. Baranskii) Lattice isomorphisms of semigroups decomposable into a free product. Mat. Sb. 71, 236–250 (1966). English translation: Am. Math. Soc. Transl. II Ser. 94, 245–262 (1970) Google Scholar
  36. 44.
    Completely simple semigroups without zero and idealizers of subsemigroups. Izv. VUZ Mat. No. 6, 157–160 (1966) Google Scholar
  37. 45.
    Half-isomorphisms of cancellative semigroups. Izv. Akad. Nauk SSSR Ser. Mat. 31, 957–964 (1967). English translation: Math. USSR Izv. 1, 915–921 (1967) Google Scholar
  38. 46.
    On lattice isomorphisms of orderable cancellative semigroups. Izv. Akad. Nauk SSSR Ser. Mat. 31, 1229–1238 (1967). English translation: Math. USSR Izv. 1, 1177–1185 (1967) Google Scholar
  39. 47.
    (with L.M. Gluskin and B.M. Schein) Semigroups (survey article). In: Algebra. Topology. Geometry. 1966, pp. 9–56. Itogi Nauki, VINITI, Moscow (1968) Google Scholar
  40. 48.
    Densely embedded ideals of semigroups. Mat. Sb. 79, 425–432 (1969). English translation: Math. USSR Sb. 8, 401–408 (1969) Google Scholar
  41. 49.
    (with N.D. Filippov) Partially ordered sets and their comparison graphs. Sib. Mat. Zh. 11, 648–667 (1970). English translation: Sib. Math. J. 11, 497–509 (1970) Google Scholar
  42. 50.
    (with N.F. Sesekin and A.I. Starostin) On scientific works of P.G. Kontorovich. Mat. Zap. Ural Univ. 7(3), 5–19 (1970). Reprinted in Proc. Ural State Univ. 36, 13–24 (2005) Google Scholar
  43. 51.
    On subsemigroup lattice of a group as a symmetric lattice. Mat. Zap. Ural Univ. 7(3), 234–238 (1970) Google Scholar
  44. 52.
    (with L.M. Beshketo) Idempotent semigroups whose subsemigroup semilattice is decomposable into a direct product. Uch. Zap. Sverdlovsk Ped. Inst. 124, 82–87 (1970) Google Scholar
  45. 53.
    (with L.M. Martynov) On attainable classes of algebras. Sib. Mat. Zh. 12, 1363–1381 (1971). English translation: Sib. Math. J. 12, 986–998 (1971) Google Scholar
  46. 54.
    A supplement to the paper “Semigroups of finite breadth”. In: Vagner, V.V. (ed.) Theory of Semigroups and its Applications, Issue 2, pp. 94–96. Saratov University (1970) Google Scholar
  47. 55.
    On densely embedded ideals of algebras. Mat. Sb. 88, 218–228 (1972). English translation: Math. USSR Sb. 17, 216–227 (1972) Google Scholar
  48. 56.
    (with V.B. Lender) On attainable classes of lattices. Izv. VUZ Mat. No. 12, 111–115 (1972) Google Scholar
  49. 57.
    (with A.S. Prosvirov) Semigroups with isotone idealizer function. Trudy Mosc. Mat. Obs. 29, 235–246 (1973). English translation: Trans. Mosc. Math. Soc. 29, 227–238 (1973) Google Scholar
  50. 58.
    Densely embedded ideals of Lie algebras. Sib. Mat. Zh. 15, 192–199 (1974). English translation: Sib. Math. J. 15, 137–142 (1974) Google Scholar
  51. 59.
    A general theorem on semigroups with certain finiteness conditions. Mat. Zamet. 15, 925–935 (1974). English translation: Math. Notes 15, 552–557 (1974) Google Scholar
  52. 60.
    (with A.S. Prosvirov) Idealizers of subsemigroups and the structure of a semigroup. Mat. Zap. Ural Univ. 9(1), 66–83, 142–143 (1974) Google Scholar
  53. 61.
    On the theory of periodic semigroups. Izv. VUZ Mat. No. 5, 205–216 (1974) Google Scholar
  54. 62.
    On periodic and locally finite groups and semigroups. In: Methodical Recommendations and Instructions on Specialization, pp. 3–11. Ural University (1979) Google Scholar
  55. 63.
    (with A.S. Prosvirov) Idealizers of subsemigroups and the structure of a semigroup. II. Mat. Zap. Ural Univ. 12(1), 131–151 (1980) Google Scholar
  56. 64.
    (with A.J. Ovsyannikov) Semigroups and their subsemigroup lattices (survey article). Semigroup Forum 27, 1–154 (1983) Google Scholar
  57. 65.
    (with L.M. Martynov) Attainability and solvability for classes of algebras (survey article). In: Pollák, Gy., Schwarz, Št., Steinfeld, O. (eds.) Semigroups (Coll. Math. Soc. J. Bolyai 39), pp. 397–459. North-Holland, Amsterdam (1985) Google Scholar
  58. 66.
    (with M.V. Volkov) Identities of semigroups (survey article). Izv. VUZ Mat. No. 11, 3–47 (1985). English translation: Sov. Math. (Izv. VUZ) 29(11), 1–64 (1985) Google Scholar
  59. 67.
    (with M.V. Sapir) Residually small varieties of semigroups and groups. Izv. VUZ Mat. No. 10, 41–50 (1988). English translation: Sov. Math. (Izv. VUZ) 32(10), 57–73 (1988) Google Scholar
  60. 68.
    (with E.V. Sukhanov) Structural aspects of the theory of varieties of semigroups (survey article). Izv. VUZ Mat. No. 6, 3–39 (1989). English translation: Sov. Math. (Izv. VUZ) 33(6), 1–34 (1990) Google Scholar
  61. 69.
    (with A.J. Ovsyannikov) Finitely assembled semigroups and ascending chain conditions for subsemigroups. In: Hall, T.E., Jones, P.R., Meakin, J.C. (eds.) Monash Conference on Semigroup Theory in Honour of G.B. Preston, pp. 269–284. World Scientific, Singapore (1991) Google Scholar
  62. 70.
    On two longstanding problems concerning nilsemigroups. In: Howie, J.M., Munn, W.D., Weinert, H.J. (eds.) Proc. Conference on Semigroups with Applications, pp. 222–235. World Scientific, Singapore (1992) Google Scholar
  63. 71.
    The bicyclic semigroup is determined by its subsemigroup lattice. Simon Stevin 67(Supplement), 49–53 (1993) Google Scholar
  64. 72.
    On the theory of epigroups. I, II Mat. Sb. 185(8), 129–160 (1994); (9), 153–176 (1994). English translation: Russ. Acad. Sci. Sb. Math. 82, 485–512 (1994); 83, 133–154 (1994) Google Scholar
  65. 73.
    Varieties of algebraic systems (survey article). Proc. Ural State Univ. 19, 36–43 (2001) Google Scholar
  66. 74.
    Epigroups (survey article). In: Kudryavtsev, V.B., Rosenberg, I.G. (eds.) Structural Theory of Automata, Semigroups, and Universal Algebra. Proc. NATO Adv. Study Institute Workshop at the CRM, pp. 331–380. Springer (2005) Google Scholar
  67. 75.
    (with A.J. Ovsyannikov) On lattice properties of epigroups. Algebra Universalis (accepted) Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of Mathematics and MechanicsUral State UniversityEkaterinburgRussia

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