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Algebra and Discrete Mathematics, 2012, Volume 13, Issue 2, Pages 147–168 (Mi adm72)  
This article is cited in 6 scientific papers (total in 6 papers)

RESEARCH ARTICLE

Algebra in superextensions of inverse semigroups

Taras Banakhab, Volodymyr Gavrylkivc

a Ivan Franko University of Lviv, Ukraine
b Jan Kochanowski University, Kielce, Poland
c Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, Ukraine
Full-text PDF (256 kB) Citations (6)
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Abstract: We find necessary and sufficient conditions on an (inverse) semigroup $X$ under which its semigroups of maximal linked systems $\lambda(X)$, filters $\varphi(X)$, linked upfamilies $N_2(X)$, and upfamilies $\upsilon(X)$ are inverse.
Keywords: inverse semigroup, regular semigroup, Clifford semigroup, superextension, semigroup of filters.
Received: 05.10.2011
Revised: 22.12.2011
Bibliographic databases:
Document Type: Article
MSC: 20M10, 20M14, 20M17, 20M18, 54B20
Language: English
Citation: Taras Banakh, Volodymyr Gavrylkiv, “Algebra in superextensions of inverse semigroups”, Algebra Discrete Math., 13:2 (2012), 147–168
Citation in format AMSBIB
\Bibitem{BanGav12}
\by Taras~Banakh, Volodymyr~Gavrylkiv
\paper Algebra in superextensions of inverse semigroups
\jour Algebra Discrete Math.
\yr 2012
\vol 13
\issue 2
\pages 147--168
\mathnet{http://mi.mathnet.ru/adm72}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3027505}
\zmath{https://zbmath.org/?q=an:06120569}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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