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On some finitely based representations
of semigroups

Author: Nikolay N. Silkin
Journal: Proc. Amer. Math. Soc. 126 (1998), 1621-1626
MSC (1991): Primary 20M89, 16R50
MathSciNet review: 1443166
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Abstract: In this paper we present a method of obtaining finitely based linear representations of possibly infinitely based semigroups.

References [Enhancements On Off] (What's this?)

  • [VSh] Vovsi S.M., Shon N.H. Identities of stable-by-finite representations of groups, Mat. Sbornik, 132(174), 1987, 578-591; English transl., Math. USSR Sb. 60 (1988), 569-581. MR 88f:20020
  • [AK] Al'shanskii L., Kushkuley A. Identities of the natural representation of the infinitely based semigroup, Proc. Amer. Math. Soc. 118, 1993, 931-938. MR 93i:20071
  • [S] Sapir M.V., Problems of Burnside type and the finite basis property in varieties of semigroups, Izv. AN SSSR, Ser.Mat., 51(2), 319-340, 1987; transl. in Math USSR.Izv, 30(2), 1988, 295-314. MR 88h:20078
  • [L] Lvov I.V., On varieties of associative rings I, Algebra and Logic, 12 (1973), 150-167. MR 52:10802
  • [K] Kruse R.L., Identities satisfied by a finite ring, J.Algebra, 26, 298-318. MR 48:4025
  • [R1] Rowen L.H., Polynomial identities in ring theory, Academic Press, New York, 1980. MR 82a:16021
  • [R2] Rowen L.H., Ring theory, v.2, Academic Press, San Diego, 1988. MR 89h:16001

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Additional Information

Nikolay N. Silkin
Affiliation: Department of Mathematics and Statistics University of Nebraska–Lincoln Lincoln, Nebraska 68588-0323
Address at time of publication: 1326 Stevenson Center, Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240

Keywords: Semigroups, identities, linear representations
Received by editor(s): June 17, 1996
Received by editor(s) in revised form: November 19, 1996
Communicated by: Lance W. Small
Article copyright: © Copyright 1998 American Mathematical Society

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