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On tame semigroups generated by idempotents with partial null multiplication

Vernadsky National Library of Ukraine

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Title On tame semigroups generated by idempotents with partial null multiplication
 
Creator Bondarenko, V.M.
Tertychna, O.M.
 
Description 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 of such semigroups over a field k. In particular, we describe all finite semigroups S(I,J) of tame representation type.
 
Date 2019-06-14T03:37:47Z
2019-06-14T03:37:47Z
2008
 
Type Article
 
Identifier 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.
1726-3255
2000 Mathematics Subject Classification: 15A, 16G.
http://dspace.nbuv.gov.ua/handle/123456789/153368
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України