On tame semigroups generated by idempotents with partial null multiplication
dc.contributor.author | Bondarenko, Vitaliy M. | |
dc.contributor.author | Tertychna, Olena M. | |
dc.contributor.author | Тертична, Олена Миколаївна | |
dc.contributor.author | Тертичная, Елена Николаевна | |
dc.date.accessioned | 2020-08-28T12:19:00Z | |
dc.date.available | 2020-08-28T12:19:00Z | |
dc.date.issued | 2008 | |
dc.description.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. | uk_UA |
dc.identifier.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. | uk_UA |
dc.identifier.issn | 1726-3255 | |
dc.identifier.uri | https://ir.kneu.edu.ua:443/handle/2010/33768 | |
dc.language.iso | en | uk_UA |
dc.publisher | Інститут прикладної математики і механіки НАН України, Луганський національний університет імені Тараса Шевченка | uk_UA |
dc.title | On tame semigroups generated by idempotents with partial null multiplication | uk_UA |
dc.type | Article | uk_UA |