Embedding of topological semigroups in simple semigroups (in Russian)

O.~Gutik

Any topological (inverse) semigroup is embedded into a simple topological (inverse) semigroup. The Bruck semigroup of a topological inverse semigroup with minimal idempotent admits the only direct sum topology.

1. Bruck R.H. A survey of binary systems // Ergebnisse der Math.. Heft 20, Berlin: Springer, 1958.

2. Клиффорд А., Престон Г. Алгебраическая теория полугрупп. т.2. – М.: Мир, 1972. – 285 с.

3. Энгелькинг Р. Общая топология. – М.: Мир, 1986. – 752 с.

4. Eberhart C., Selden J. On the closure of the bicyclic semigroup // Trans@. Amer@. Math@. Soc@. 1969. V.144. P.115–126. Department of Mathematics and Mechanics, Lviv University, Universytetska 1, Lviv, 290602, Ukraine

	Embedding of topological semigroups in simple semigroups (in Russian)
Author	O.~Gutik Department of Mathematics and Mechanics, Lviv University, Universytetska 1, Lviv, 290602, Ukraine
Abstract	Any topological (inverse) semigroup is embedded into a simple topological (inverse) semigroup. The Bruck semigroup of a topological inverse semigroup with minimal idempotent admits the only direct sum topology.
Keywords	topological semigroup, inverse semigroup, embedding, simple semigroup, Bruck semigroup
DOI	doi:10.30970/ms.3.1.10-14
Reference	1. Bruck R.H. A survey of binary systems // Ergebnisse der Math.. Heft 20, Berlin: Springer, 1958. 2. Клиффорд А., Престон Г. Алгебраическая теория полугрупп. т.2. – М.: Мир, 1972. – 285 с. 3. Энгелькинг Р. Общая топология. – М.: Мир, 1986. – 752 с. 4. Eberhart C., Selden J. On the closure of the bicyclic semigroup // Trans@. Amer@. Math@. Soc@. 1969. V.144. P.115–126. Department of Mathematics and Mechanics, Lviv University, Universytetska 1, Lviv, 290602, Ukraine
Pages	10-14
Volume	3
Issue	1
Year	1994
Journal	Matematychni Studii
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