Topological semigroups of matrix units
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Topological semigroups of matrix units
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| Creator |
Gutik, O.V.
Pavlyk, K.P. |
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| Description |
We prove that the semigroup of matrix units is stable. Compact, countably compact and pseudocompact topologies τ on the infinite semigroup of matrix units Bλ such that (Bλ,τ ) is a semitopological (inverse) semigroup are described. We prove the following properties of an infinite topological semigroup of matrix units. On the infinite semigroup of matrix units there exists no semigroup pseudocompact topology. Any continuous homomorphism from the infinite topological semigroup of matrix units into a compact topological semigroup is annihilating. The semigroup of matrix units is algebraically h-closed in the class of topological inverse semigroups. Some H-closed minimal semigroup topologies on the infinite semigroup of matrix units are considered. |
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| Date |
2019-06-19T17:29:34Z
2019-06-19T17:29:34Z 2005 |
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| Type |
Article
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| Identifier |
Topological semigroups of matrix units / O.V. Gutik, K.P. Pavlyk // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 1–17. — Бібліогр.: 26 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 20M15, 20M18, 22A15, 54A10, 54C25, 54D25, 54D35, 54H10. http://dspace.nbuv.gov.ua/handle/123456789/157194 |
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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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