On H-closed topological semigroups and semilattices
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On H-closed topological semigroups and semilattices
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| Creator |
Chuchman, I.
Gutik, O. |
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| Description |
In this paper, we show that if S is an H-closed topological semigroup and e is an idempotent of S, then eSe is an H-closed topological semigroup. We give sufficient conditions on a linearly ordered topological semilattice to be H-closed. Also we prove that any H-closed locally compact topological semilattice and any H-closed topological weakly U-semilattice contain minimal idempotents. An example of a countably compact topological semilattice whose topological space is H-closed is constructed. |
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| Date |
2019-06-20T02:46:23Z
2019-06-20T02:46:23Z 2007 |
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| Type |
Article
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| Identifier |
On H-closed topological semigroups and semilattices / I. Chuchman, O. Gutik // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 13–23. — Бібліогр.: 10 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 06A12, 06F30; 22A15, 22A26, 54H12. http://dspace.nbuv.gov.ua/handle/123456789/157357 |
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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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