Algebra in superextensions of inverse semigroups

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.

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Date:2018
Main Authors: Banakh, Taras, Gavrylkiv, Volodymyr
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/699
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-699
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spelling admjournalluguniveduua-article-6992018-04-04T09:53:26Z Algebra in superextensions of inverse semigroups Banakh, Taras Gavrylkiv, Volodymyr inverse semigroup, regular semigroup, Clifford semigroup,superextension, semigroup of filters 20M10, 20M14, 20M17, 20M18, 54B20 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/699 Algebra and Discrete Mathematics; Vol 13, No 2 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/699/232 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T09:53:26Z
collection OJS
language English
topic inverse semigroup
regular semigroup
Clifford semigroup,superextension
semigroup of filters
20M10
20M14
20M17
20M18
54B20
spellingShingle inverse semigroup
regular semigroup
Clifford semigroup,superextension
semigroup of filters
20M10
20M14
20M17
20M18
54B20
Banakh, Taras
Gavrylkiv, Volodymyr
Algebra in superextensions of inverse semigroups
topic_facet inverse semigroup
regular semigroup
Clifford semigroup,superextension
semigroup of filters
20M10
20M14
20M17
20M18
54B20
format Article
author Banakh, Taras
Gavrylkiv, Volodymyr
author_facet Banakh, Taras
Gavrylkiv, Volodymyr
author_sort Banakh, Taras
title Algebra in superextensions of inverse semigroups
title_short Algebra in superextensions of inverse semigroups
title_full Algebra in superextensions of inverse semigroups
title_fullStr Algebra in superextensions of inverse semigroups
title_full_unstemmed Algebra in superextensions of inverse semigroups
title_sort algebra in superextensions of inverse semigroups
description 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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/699
work_keys_str_mv AT banakhtaras algebrainsuperextensionsofinversesemigroups
AT gavrylkivvolodymyr algebrainsuperextensionsofinversesemigroups
first_indexed 2025-12-02T15:36:41Z
last_indexed 2025-12-02T15:36:41Z
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