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On some finitely based representations of semigroups
Author(s):
Nikolay
N.
Silkin
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1621-1626.
MSC (1991):
Primary 20M89, 16R50
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Abstract:
In this paper we present a method of obtaining finitely based linear representations of possibly infinitely based semigroups.
References:
- [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
Email:
nsilkin@math.unl.edu, nsilkin@math.vanderbilt.edu
DOI:
10.1090/S0002-9939-98-04205-1
PII:
S 0002-9939(98)04205-1
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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