On structure of the band of a compact inverse semigroup with open translations (in Russian) |
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| Author |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine, 3b Naukova St., Lviv 290053, Ukraine
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| Abstract |
The band of a compact inverse semigroup with open translations is a
countable Lawson semilattice. A base of its topology is defined by the
subsemigroup of isolated points. A first countable inverse semigroup with
open translations is metrizable.
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| Keywords |
compact inverse semigroup, open translations, band, countable Lawson semilattice, topology base, isolated points
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| DOI |
doi:10.30970/ms.6.1.33-38
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Reference |
1. Клиффорд А., Престон Г. Алгебраическая теория полугрупп. Т.1. – М.: Мир, 1972. 288с.; Т.2. – М.: Мир, 1972. 424с.
2. Энгелькинг Р. Общая топология. – М.: Мир, 1986. 752с. 3. Hofmann K.H., Mislove M., Stralka A. The Pontryagin duality of compact $0$-dimensional semilattices and its applications. Lect. Notes Math., 1974, 394, XVI, 122p. 4. Чобан М.М., Додон Н.К. Теория $\mathcal P$-разреженных пространств. -- Кишинев: Штиинца, 1979. 100с. 5. Гуран I.Й. Метризовнiсть компактних iнверсних пiвгруп // Алгебра i топологiя. – К.: 1993, С.33–40. Институт прикладных проблем механики и математики НАН Украины Наукова 3б, Львов, 290053, Украина |
| Pages |
33-38
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| Volume |
6
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| Issue |
1
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| Year |
1996
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| Journal |
Matematychni Studii
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| Full text of paper | |
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