On tame semigroups generated by idempotents with partial null multiplication

Let I be a finite set without 0 and J a subset in I×I without diagonal elements (i,i). We define S(I,J) to be the semigroup with generators ei, where i∈I∪0, and the following relations: e0=0; e2i=ei for any i∈I; eiej=0 for any (i,j)∈J. In this paper we study finite-dimensional representations o...

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Bibliographic Details
Date:2008
Main Authors: Bondarenko, V.M., Tertychna, O.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2008
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153368
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On tame semigroups generated by idempotents with partial null multiplication / V.M. Bondarenko, O.M. Tertychn // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 15–22. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine