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Algebra and Discrete Mathematics, 2011, Volume 12, Issue 2, Pages 64–71 (Mi adm129)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Length of the inverse symmetric semigroup

Olexandr Ganyushkina, Ivan Livinskyb

a Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st. 01033, Kyiv, UKRAINE
b Department of Mathematics, University of Manitoba, 186 Dysart Road, R3T2N2, Winnipeg, CANADA
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Abstract: The length of the lattice of subsemigroups of the inverse symmetric semigroup $\mathcal{IS}_n$ is calculated.
Keywords: length of a semigroup, inverse semigroup, semigroup, Brandt semigroup.
Received: 26.10.2011
Revised: 17.12.2011
Bibliographic databases:
Document Type: Article
MSC: 20M18, 20M10
Language: English
Citation: Olexandr Ganyushkin, Ivan Livinsky, “Length of the inverse symmetric semigroup”, Algebra Discrete Math., 12:2 (2011), 64–71
Citation in format AMSBIB
\Bibitem{GanLiv11}
\by Olexandr Ganyushkin, Ivan Livinsky
\paper Length of the inverse symmetric semigroup
\jour Algebra Discrete Math.
\yr 2011
\vol 12
\issue 2
\pages 64--71
\mathnet{http://mi.mathnet.ru/adm129}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2952902}
\zmath{https://zbmath.org/?q=an:1264.20071}
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    • This publication is cited in the following 1 articles:
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    		Algebra and Discrete Mathematics
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