On H-closed topological semigroups and semilattices
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-c...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2007 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157357 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862632423297122304 |
|---|---|
| author | Chuchman, I. Gutik, O. |
| author_facet | Chuchman, I. Gutik, O. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-30T13:01:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157357 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T13:01:53Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Chuchman, I. Gutik, O. 2019-06-20T02:46:23Z 2019-06-20T02:46:23Z 2007 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. https://nasplib.isofts.kiev.ua/handle/123456789/157357 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On H-closed topological semigroups and semilattices Article published earlier |
| spellingShingle | On H-closed topological semigroups and semilattices Chuchman, I. Gutik, O. |
| title | On H-closed topological semigroups and semilattices |
| title_full | On H-closed topological semigroups and semilattices |
| title_fullStr | On H-closed topological semigroups and semilattices |
| title_full_unstemmed | On H-closed topological semigroups and semilattices |
| title_short | On H-closed topological semigroups and semilattices |
| title_sort | on h-closed topological semigroups and semilattices |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157357 |
| work_keys_str_mv | AT chuchmani onhclosedtopologicalsemigroupsandsemilattices AT gutiko onhclosedtopologicalsemigroupsandsemilattices |