Bondarenko, Vitaliy M.Tertychna, Olena M.Тертична, Олена МиколаївнаТертичная, Елена Николаевна2020-08-282020-08-282008Bondarenko 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. 15–22.1726-3255https://ir.kneu.edu.ua:443/handle/2010/33768Let 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.enArticle