Publications - Samuel Vovsi

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Publications



Books


  1. 1. Triangular Products of Group Representations and Their Applications (Progress in Math., vol.17), Birkhauser, Boston, 1981, ix + 127 pp.
  2. 2. Varieties of Group Representations: General Theory, Connections and Applications, Zinatne, Riga, 1983, 338 pp. (with B.I. Plotkin).
  3. 3. Topics in Varieties of Group Representations (London Math. Soc. Lecture Notes, vol.163), Cambridge University Press, Cambridge, 1991, xiv+200 pp.

Articles


  1. 4. On infinite wreath products of groups, Latv. Mat. Yezhegodnik 7 (1970), 35-46.
  2. 5. On prevarieties of groups, Certain Questions of Group Theory, Latvian State University, Riga, 1971, 5-13.
  3. 6. The absolute freeness of nonstrict radicals, Certain Questions of Group Theory, Latvian State University, Riga, 1971, 14-18.
  4. 7. On infinite products of classes of groups, Sibirsk. Mat. Zh. 13 (1972), 272-285.
  5. 8. On ascendant elements in groups, DAN SSSR 203 (1972), 517-519.
  6. 9. Radicals and certain finiteness conditions in groups, Latv. Mat. Yezhegodnik 13 (1973), 19-35.
  7. 10. On infinite products of hereditary radical classes of groups, Latv. Mat. Yezhegodnik, 13 (1973), 36-44.
  8. 11. The semigroup of prevarieties of linear group representations, Mat. Sbornik 93 (1974), 405-421.
  9. 12. On small prevarieties of groups, Latv. Mat. Yezhegodnik 15 (1974), 24-28.
  10. 13. Radical classes of m-supernilpotent groups, Izvestija VUZ. Matematika, 1975, No. 1, 21-26.
  11. 14. Triangular products, prevarieties and radical classes of linear representations of groups, DAN SSSR 224 (1975), 27-30.
  12. 15. Triangular products and semigroups of classes of pairs, Latv. Mat. Yezhegodnik 18 (1976), 27-39.
  13. 16. A note of ascendant subgroups of finite rank, Sibirsk. Mat. Zh. 17 (1976), 936-939.
  14. 17. On critical representations of groups, Latv. Mat. Yezhegodnik 20 (1976), 141-159.
  15. 18. The isomorphism of triangular decompositions of group representations, Latv. Mat. Yezhegodnik 21 (1977), 116-123.
  16. 19. Infinite triangular products of group representations, Mathem. Slovaca 27 (1977), 337-358.
  17. 20. The semigroups of radical classes of representations of groups and associative algebras, Collections of Papers in Algebra, Riga, 1978, 332-340.
  18. 21. Prevarieties of generalized stable groups, Sibirsk. Mat. Zh. 19 (1978), 267-279.
  19. 22. On locally finite varieties of group representations, Izvestija VUZ. Matematika, 1979, No.6, 14-25.
  20. 23. Varieties and triangular products of projective representations of groups, Sibirs. Mat. Zh. 21 (1980), 56-62.
  21. 24. Two actions of the semigroup of varieties of groups, Latv. Mat. Yezhegodnik 24 (1980), 192-197.
  22. 25. Lattices of invariant subspaces of group representations, Algebra Universalis 12 , 221-223.
  23. 26. Two notes on local properties of groups, Simon Stevin 55 (1981), 27-35.
  24. 27. On radical and coradical classes of l-groups, Algebra Universalis 16 (1983), 159-162.
  25. 28. Embedding rings in completed graded rings. 2. Algebras over a field, J. Algebra 84 (1983), 25-41 (with G.M. Bergman).
  26. 29. On relatively free representations of finite rank, Latv. Mat. Yezhegodnik 28 (1984), 162-164.
  27. 30. Relative radicals and coradicals in multioperator groups, Algebra and Discrete Mathematics, Latvian State University, Riga, 1984, 27-32 (with A.A. Matveyev).
  28. 31. Local radicals in group representations, Commun. Algebra 13 (1985), 1327-1357.
  29. 32. On the lattice of hereditary radical classes of group representations, Latv. Mat. Yezhegodnik 29 (1985), 119-126.
  30. 33. The Galois correspondence between radical and coradical classes, Coll. Math. Soc. János Bolyai 38 (1985), 687-714.
  31. 34. The Fox derivatives and varieties of group representations, Sibirsk. Mat. Zh. 27 (1986), 34-41.
  32. 35. Identities of stable-by-finite representations of groups, Mat. Sbornik 132 (1987), 578-591 (with Nguen Hung Shon).
  33. 36. Triangular products and identities of certain associative algebras, Algebra i Logika 26 (1987), 27-35.
  34. 37. Certain radical classes of algebraic representations of groups, Izvestija VUZ. Matematika 1987, No.12, 20-29.
  35. 38. Identities of triangular products of semigroup representations, Latv. Mat. Yezhegodnik 31 (1988), 95-102 (with L.A. Al'shansky).
  36. 39. Homogeneous varieties of group representations, Sibirsk. Mat. Zh. 29 (1988), 35-47.
  37. 40. On varieties of group representations and varieties of associative algebras, Questions in Algebra 4 , Universitetskoye Publishing Co., Minsk, 1989, 103-106.
  38. 41. Two notes on homogeneous varieties of group representations, Latv. Mat. Yezhegodnik 33 (1989), 84-91.
  39. 42. On critical multioperator groups, Sibirsk. Mat. Zh. 30 (1989), 213-215.
  40. 43. On the semigroup of radical classes of group representations, Radical Theory. Proceedings of the 1988 Sendai Conference, Uchida Rokakuho Publishing, Tokyo, 1989, 135-141.
  41. 44. On multilinear identities of group representations, Commun. Algebra 18 (1990), 389-401 (with M.V. Volkov).
  42. 45. Some ring themes in the theory of varieties of group representations, Azumaya Algebras, Actions, and Modules, Contemp. Math. 124 (1992), 257-274.
  43. 46. On the identities of representations of finite groups over a noetherian ring, Int. J. Algebra and Comp. 2 (1992), 103-116.
  44. 47. On the semigroups of fully invariant ideals of the free group algebra and the free associative algebra, Proc. Amer. Math. Soc. 119 (1993), 1029-1037.
  45. 48. Two radicals in group representations, Commun. Algebra 22 (1994), 5105-5115.
  46. 49. Growth of varieties of groups and group representations, and the Gel'fand-Kirillov dimension, J. Algebra 177 (1995), 493-510 (with L. G. Kovács).
  47. 50. Critical algebras and the Frattini congruence, Algebra Universalis 34 (1995), 336-344 (with E. W. Kiss).
  48. 51. On fully invariant ideals of the free group ring, Proc. Amer. Math. Soc. 124 (1996), 2613-2618 (with A. N. Krasil'nikov).
  49. 52. Disjunctive identities of groups and identities of their regular representations, Algebra Colloq. 4 (1997), 257-280.
  50. 53. Identities of representations of finite group, CRM Proc. Lect. Notes 17 (1999), 131-145.

Textbooks and manuals


  1. 54. Elements of Abstract Algebra. 1. Groups, Rings and Fields, RPI, Riga, 1977.
  2. 55. Algebraic Structures (an elementary introduction), RPI, Riga, 1979.
  3. 56. Linear Algebra (standard calculations), RPI, Riga, 1988 (with M.A. Buikis).
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