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 λ(X), filters φ(X), linked upfamilies N₂(X), and upfamilies υ(X) are inverse.

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2012
ISSN:1726-3255
Main Authors: Banakh, T., Gavrylkiv, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152205
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Algebra in superextensions of inverse semigroups / T. Banakh, V. Gavrylkiv // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 147–168. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Banakh, T.
Gavrylkiv, V.
author_facet Banakh, T.
Gavrylkiv, V.
citation_txt Algebra in superextensions of inverse semigroups / T. Banakh, V. Gavrylkiv // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 147–168. — Бібліогр.: 15 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description We find necessary and sufficient conditions on an (inverse) semigroup X under which its semigroups of maximal linked systems λ(X), filters φ(X), linked upfamilies N₂(X), and upfamilies υ(X) are inverse.
first_indexed 2025-12-07T20:16:27Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T20:16:27Z
publishDate 2012
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Banakh, T.
Gavrylkiv, V.
2019-06-08T18:21:18Z
2019-06-08T18:21:18Z
2012
Algebra in superextensions of inverse semigroups / T. Banakh, V. Gavrylkiv // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 147–168. — Бібліогр.: 15 назв. — англ.
1726-3255
2010 MSC:20M10, 20M14, 20M17, 20M18, 54B20.
https://nasplib.isofts.kiev.ua/handle/123456789/152205
We find necessary and sufficient conditions on an (inverse) semigroup X under which its semigroups of maximal linked systems λ(X), filters φ(X), linked upfamilies N₂(X), and upfamilies υ(X) are inverse.
The first author has been partially financed by NCN means granted by decision DEC-2011/01/B/ST1/01439
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Algebra in superextensions of inverse semigroups
Article
published earlier
spellingShingle Algebra in superextensions of inverse semigroups
Banakh, T.
Gavrylkiv, V.
title 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_short Algebra in superextensions of inverse semigroups
title_sort algebra in superextensions of inverse semigroups
url https://nasplib.isofts.kiev.ua/handle/123456789/152205
work_keys_str_mv AT banakht algebrainsuperextensionsofinversesemigroups
AT gavrylkivv algebrainsuperextensionsofinversesemigroups