Results 171 to 180 of about 12,478 (182)

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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Topologically O-simple semigroups

Semigroup Forum, 1977
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Congruences on topological semigroups

Boletín de la Sociedad Matemática Mexicana
Sunil Kumar Maity, Monika Paul
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Duality of Topological Semigroups with Involution

Journal of the London Mathematical Society, 1969
Baker, A. C., Baker, J. W.
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