Results 211 to 220 of about 16,532 (225)

Embedding of Countable Topological Semigroups in Simple Countable Connected Topological Semigroups

Journal of Mathematical Sciences, 2001
The main result of the paper is as follows. An arbitrary countable topological (inverse) semigroup is topologically isomorphically embedded into a simple countable connected Hausdorff topological (inverse) semigroup with unit.
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Topological Brandt semigroups

Semigroup Forum, 2012
The author considers certain locally compact Hausdorff semi-topological Brandt semigroups \(B(G,I)\) of \(|x|\) matrix units over \(G\cup\{0\}\), where \(G\) is a locally compact Hausdorff topological group and \(I\) is an index set and studies the relation between the semigroup algebras of \(B(G,I)\) and \(I^1\)-Munn algebras over group algebras ...
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Ideal Extensions of Topological Semigroups

Canadian Journal of Mathematics, 1970
In the study of compact semigroups the constructive method rather than the representational method is usually the better plan of attack. As it was pointed out by Hofmann and Mostert in the introduction to their book [10] this method is more productive than searching for a
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On topological Brandt semigroups

Journal of Mathematical Sciences, 2012
We describe the structure of pseudocompact completely 0 -simple topological inverse semigroups. We also give sufficient conditions under which the topological Brandt λ0 -extensions of an (absolutely) H-closed semigroup are (absolutely) H -closed semigroups.
O. V. Gutik, K. P. Pavlyk, A. R. Reiter
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Extending ideals in regular topological semigroups

Semigroup Forum, 1999
The authors define three concepts of ideal extension properties of a topological semigroup \(S:S\) has the ideal extension property (IEP) if, for each closed subsemigroup \(T\) of \(S\) and each closed ideal \(I\) of \(T\), there is a closed ideal \(J\) of \(S\) such that \(J\cap T=I\).
Karen Aucoin, Kirk Benningfield, J.D. Lawson   +2 more
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Topological Rees Matrix Semigroups

2015
An important problem in the theory of topological semigroups is to formulate a suitable definition of continuity for the choice of generalized inverses. In this paper, we will show that under certain natural conditions, a topology can be defined on a Rees matrix semigroup, which turns it into a topological semigroup, and in which a canonical continuous
E. Krishnan, V. Sherly
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Semigroup extensions of Abelian topological groups

Semigroup Forum, 2018
In the paper it is stated that a topological group is called \textit{absolutely closed} if it is closed in every topological group containing it as a subgroup; and a topological group is absolutely closed if and only if it is complete [\textit{D. Raikov}, Izv. Akad. Nauk SSSR, Ser. Mat. 10, 513--528 (1946; Zbl 0061.04206)]. Given a topological group $G$
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Topological Groups and Semigroups

1988
1°. A topological group is a group endowed with a Hausdorff topology relative to which the operations of multiplication and inversion are continuous (the latter being therefore a homeomorphism); here the Cartesian product of the group with itself is endowed with the product topology.
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Topologiacl radicals in semigroups

Publicationes Mathematicae Debrecen, 2022
Hung, C. Y., Shum, K. P.
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Homomorphisms and Topological Semigroups.

2022
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