On tame semigroups generated by idempotents with partial null multiplication
Date
2008
Journal Title
Journal ISSN
Volume Title
Publisher
Інститут прикладної математики і механіки НАН України, Луганський національний університет імені Тараса Шевченка
Abstract
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; e2
i = 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.
Description
Keywords
Citation
Bondarenko V. M. On tame semigroups generated by idempotents with partial null multiplication / Vitaliy M. Bondarenko, Olena M. Tertychna // Algebra and Discrete Mathematics. – 2008. – № 4. – P. 15–22.