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Algebra and Discrete Mathematics, 2006, Issue 1, Pages 89–97 (Mi adm251)  

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
Full-text PDF (202 kB) Citations (6)
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
Bibliographic databases:
Document Type: Article
Language: English
Citation: Galyna Tsyaputa, “Isolated and nilpotent subsemigroups in the variants of $\mathcal{IS}_n$”, Algebra Discrete Math., 2006, no. 1, 89–97
Citation in format AMSBIB
\Bibitem{Tsy06}
\by Galyna~Tsyaputa
\paper Isolated and nilpotent subsemigroups in the variants of $\mathcal{IS}_n$
\jour Algebra Discrete Math.
\yr 2006
\issue 1
\pages 89--97
\mathnet{http://mi.mathnet.ru/adm251}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2286374}
\zmath{https://zbmath.org/?q=an:1118.20057}
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  • https://www.mathnet.ru/eng/adm251
  • https://www.mathnet.ru/eng/adm/y2006/i1/p89
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Algebra and Discrete Mathematics
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