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Algebra and Discrete Mathematics, 2006, Issue 1, Pages 89–97
(Mi adm251)
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This article is cited in 6 scientific papers (total in 6 papers)
RESEARCH ARTICLE
Isolated and nilpotent subsemigroups in the variants of $\mathcal{IS}_n$
Galyna Tsyaputa Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska
st., 01033, Kyiv, Ukraine
Abstract:
All isolated, completely isolated, and nilpotent subsemigroups in the semigroup $\mathcal{IS}_n$ of all injective partial transformations of an $n$-element set, considered as a semigroup with a sandwich multiplication are described.
Keywords:
Inverse symmetric semigroup, variants of a semigroup, sandwich semigroup, isolated subsemigroups, nilpotent subsemigroups.
Received: 07.06.2005
Citation:
Galyna Tsyaputa, “Isolated and nilpotent subsemigroups in the variants of $\mathcal{IS}_n$”, Algebra Discrete Math., 2006, no. 1, 89–97
Linking options:
https://www.mathnet.ru/eng/adm251 https://www.mathnet.ru/eng/adm/y2006/i1/p89
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Abstract page: | 189 | Full-text PDF : | 114 | First page: | 1 |
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