On closures in semitopological inverse semigroups with continuous inversion
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On closures in semitopological inverse semigroups with continuous inversion
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| Creator |
Gutik, O.
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| Description |
We study the closures of subgroups, semilattices and different kinds of semigroup extensions in semitopological inverse semigroups with continuous inversion. In particularly we show that a topological group G is H-closed in the class of semitopological inverse semigroups with continuous inversion if and only if G is compact, a Hausdorff linearly ordered topological semilattice E is H-closed in the class of semitopological semilattices if and only if E is H-closed in the class of topological semilattices, and a topological Brandt λ⁰-extension of S is (absolutely) H-closed in the class of semitopological inverse semigroups with continuous inversion if and only if so is S. Also, we construct an example of an H-closed non-absolutely H-closed semitopological semilattice in the class of semitopological semilattices.
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| Date |
2019-06-14T03:26:11Z
2019-06-14T03:26:11Z 2014 |
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| Type |
Article
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| Identifier |
On closures in semitopological inverse semigroups with continuous inversion / O. Gutik // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 59–85. — Бібліогр.: 33 назв. — англ.
1726-3255 2010 MSC:22A05, 22A15, 22A26; 20M18, 20M15. http://dspace.nbuv.gov.ua/handle/123456789/153347 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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