On tame semigroups generated by idempotents with partial null multiplication

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Authors: Bondarenko, V.M., Tertychna, O.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153368
• 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.

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...