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Algebra and Discrete Mathematics, 2008, Issue 3, Pages 84–87 (Mi adm171)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Idempotent $\mathcal{D}$-cross-sections of the finite inverse symmetric semigroup $IS_n$

Vasyl Pyekhtyeryev

Department of Mechanics and Mathematics, Kiyv Taras Shevchenko University, 64, Volodymyrska st., 01033, Kiyv, UKRAINE
Full-text PDF (182 kB) Citations (1)
Abstract: We prove that every finite poset can be embedded in some idempotent $\mathcal{D}$-cross-section of the finite inverse symmetric semigroup $\mathcal{IS}_n$.
Keywords: Inverse symmetric semigroup, Green's relations, cross-sections, posets.
Received: 05.02.2008
Revised: 14.10.2008
Bibliographic databases:
Document Type: Article
MSC: 20M20, 20M10
Language: English
Citation: Vasyl Pyekhtyeryev, “Idempotent $\mathcal{D}$-cross-sections of the finite inverse symmetric semigroup $IS_n$”, Algebra Discrete Math., 2008, no. 3, 84–87
Citation in format AMSBIB
\Bibitem{Pye08}
\by Vasyl~Pyekhtyeryev
\paper Idempotent $\mathcal{D}$-cross-sections of the finite inverse symmetric semigroup $IS_n$
\jour Algebra Discrete Math.
\yr 2008
\issue 3
\pages 84--87
\mathnet{http://mi.mathnet.ru/adm171}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2477810}
\zmath{https://zbmath.org/?q=an:1164.20364}
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