Publications
Books
- 1. Triangular Products of Group Representations and Their Applications (Progress in Math., vol.17), Birkhauser, Boston, 1981, ix + 127 pp.
- 2. Varieties of Group Representations: General Theory, Connections and Applications, Zinatne, Riga, 1983, 338 pp. (with B.I. Plotkin).
- 3. Topics in Varieties of Group Representations (London Math. Soc. Lecture Notes, vol.163), Cambridge University Press, Cambridge, 1991, xiv+200 pp.
Articles
- 4. On infinite wreath products of groups, Latv. Mat. Yezhegodnik 7 (1970), 35-46.
- 5. On prevarieties of groups, Certain Questions of Group Theory, Latvian State University, Riga, 1971, 5-13.
- 6. The absolute freeness of nonstrict radicals, Certain Questions of Group Theory, Latvian State University, Riga, 1971, 14-18.
- 7. On infinite products of classes of groups, Sibirsk. Mat. Zh. 13 (1972), 272-285.
- 8. On ascendant elements in groups, DAN SSSR 203 (1972), 517-519.
- 9. Radicals and certain finiteness conditions in groups, Latv. Mat. Yezhegodnik 13 (1973), 19-35.
- 10. On infinite products of hereditary radical classes of groups, Latv. Mat. Yezhegodnik, 13 (1973), 36-44.
- 11. The semigroup of prevarieties of linear group representations, Mat. Sbornik 93 (1974), 405-421.
- 12. On small prevarieties of groups, Latv. Mat. Yezhegodnik 15 (1974), 24-28.
- 13. Radical classes of m-supernilpotent groups, Izvestija VUZ. Matematika, 1975, No. 1, 21-26.
- 14. Triangular products, prevarieties and radical classes of linear representations of groups, DAN SSSR 224 (1975), 27-30.
- 15. Triangular products and semigroups of classes of pairs, Latv. Mat. Yezhegodnik 18 (1976), 27-39.
- 16. A note of ascendant subgroups of finite rank, Sibirsk. Mat. Zh. 17 (1976), 936-939.
- 17. On critical representations of groups, Latv. Mat. Yezhegodnik 20 (1976), 141-159.
- 18. The isomorphism of triangular decompositions of group representations, Latv. Mat. Yezhegodnik 21 (1977), 116-123.
- 19. Infinite triangular products of group representations, Mathem. Slovaca 27 (1977), 337-358.
- 20. The semigroups of radical classes of representations of groups and associative algebras, Collections of Papers in Algebra, Riga, 1978, 332-340.
- 21. Prevarieties of generalized stable groups, Sibirsk. Mat. Zh. 19 (1978), 267-279.
- 22. On locally finite varieties of group representations, Izvestija VUZ. Matematika, 1979, No.6, 14-25.
- 23. Varieties and triangular products of projective representations of groups, Sibirs. Mat. Zh. 21 (1980), 56-62.
- 24. Two actions of the semigroup of varieties of groups, Latv. Mat. Yezhegodnik 24 (1980), 192-197.
- 25. Lattices of invariant subspaces of group representations, Algebra Universalis 12 , 221-223.
- 26. Two notes on local properties of groups, Simon Stevin 55 (1981), 27-35.
- 27. On radical and coradical classes of l-groups, Algebra Universalis 16 (1983), 159-162.
- 28. Embedding rings in completed graded rings. 2. Algebras over a field, J. Algebra 84 (1983), 25-41 (with G.M. Bergman).
- 29. On relatively free representations of finite rank, Latv. Mat. Yezhegodnik 28 (1984), 162-164.
- 30. Relative radicals and coradicals in multioperator groups, Algebra and Discrete Mathematics, Latvian State University, Riga, 1984, 27-32 (with A.A. Matveyev).
- 31. Local radicals in group representations, Commun. Algebra 13 (1985), 1327-1357.
- 32. On the lattice of hereditary radical classes of group representations, Latv. Mat. Yezhegodnik 29 (1985), 119-126.
- 33. The Galois correspondence between radical and coradical classes, Coll. Math. Soc. János Bolyai 38 (1985), 687-714.
- 34. The Fox derivatives and varieties of group representations, Sibirsk. Mat. Zh. 27 (1986), 34-41.
- 35. Identities of stable-by-finite representations of groups, Mat. Sbornik 132 (1987), 578-591 (with Nguen Hung Shon).
- 36. Triangular products and identities of certain associative algebras, Algebra i Logika 26 (1987), 27-35.
- 37. Certain radical classes of algebraic representations of groups, Izvestija VUZ. Matematika 1987, No.12, 20-29.
- 38. Identities of triangular products of semigroup representations, Latv. Mat. Yezhegodnik 31 (1988), 95-102 (with L.A. Al'shansky).
- 39. Homogeneous varieties of group representations, Sibirsk. Mat. Zh. 29 (1988), 35-47.
- 40. On varieties of group representations and varieties of associative algebras, Questions in Algebra 4 , Universitetskoye Publishing Co., Minsk, 1989, 103-106.
- 41. Two notes on homogeneous varieties of group representations, Latv. Mat. Yezhegodnik 33 (1989), 84-91.
- 42. On critical multioperator groups, Sibirsk. Mat. Zh. 30 (1989), 213-215.
- 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.
- 44. On multilinear identities of group representations, Commun. Algebra 18 (1990), 389-401 (with M.V. Volkov).
- 45. Some ring themes in the theory of varieties of group representations, Azumaya Algebras, Actions, and Modules, Contemp. Math. 124 (1992), 257-274.
- 46. On the identities of representations of finite groups over a noetherian ring, Int. J. Algebra and Comp. 2 (1992), 103-116.
- 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.
- 48. Two radicals in group representations, Commun. Algebra 22 (1994), 5105-5115.
- 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).
- 50. Critical algebras and the Frattini congruence, Algebra Universalis 34 (1995), 336-344 (with E. W. Kiss).
- 51. On fully invariant ideals of the free group ring, Proc. Amer. Math. Soc. 124 (1996), 2613-2618 (with A. N. Krasil'nikov).
- 52. Disjunctive identities of groups and identities of their regular representations, Algebra Colloq. 4 (1997), 257-280.
- 53. Identities of representations of finite group, CRM Proc. Lect. Notes 17 (1999), 131-145.
Textbooks and manuals
- 54. Elements of Abstract Algebra. 1. Groups, Rings and Fields, RPI, Riga, 1977.
- 55. Algebraic Structures (an elementary introduction), RPI, Riga, 1979.
- 56. Linear Algebra (standard calculations), RPI, Riga, 1988 (with M.A. Buikis).
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