On tame semigroups generated by idempotents with partial null multiplication
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Date
2008
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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.
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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.