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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Identities of the natural representation of the infinitely based semigroup


Authors: Leonid Al’shanskii and Alexander Kushkuley
Journal: Proc. Amer. Math. Soc. 118 (1993), 931-937
MSC: Primary 20M07; Secondary 08B05
MathSciNet review: 1132406
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Abstract | References | Similar Articles | Additional Information

Abstract: An equational theory of a very small semigroup may fail to be finitely presented. A well-known example of such a semigroup was studied in detail by Peter Perkins some twenty years ago. We prove that the natural representation of his semigroup has a finite basis of identical relations and discuss this fact in a general context of universal algebra.


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

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  • [3] Yu. P. Razmyslov, Varieties of representations of finite-dimensional algebras in prime algebras, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 6 (1982), 31–37, 120 (Russian, with English summary). MR 685260 (84d:17011)
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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1132406-6
PII: S 0002-9939(1993)1132406-6
Article copyright: © Copyright 1993 American Mathematical Society



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