On tame semigroups generated by idempotents with partial null multiplication

dc.contributor.authorBondarenko, Vitaliy M.
dc.contributor.authorTertychna, Olena M.
dc.contributor.authorТертична, Олена Миколаївна
dc.contributor.authorТертичная, Елена Николаевна
dc.date.accessioned2020-08-28T12:19:00Z
dc.date.available2020-08-28T12:19:00Z
dc.date.issued2008
dc.description.abstractLet 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.citationBondarenko 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.issn1726-3255
dc.identifier.urihttps://ir.kneu.edu.ua:443/handle/2010/33768
dc.language.isoenuk_UA
dc.publisherІнститут прикладної математики і механіки НАН України, Луганський національний університет імені Тараса Шевченкаuk_UA
dc.titleOn tame semigroups generated by idempotents with partial null multiplicationuk_UA
dc.typeArticleuk_UA
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