Results 1 to 10 of about 16,532 (225)

On topological McAlister semigroups [PDF]

Journal of Pure and Applied Algebra, 2021
In this paper we consider McAlister semigroups over arbitrary cardinals and investigate their algebraic and topological properties. We show that the group of automorphisms of a McAlister semigroup $\mathcal{M}_ $ is isomorphic to the direct product $Sym( ){\times}\mathbb{Z}_2$, where $Sym( )$ is the group of permutations of the cardinal $ $.
Serhii Bardyla
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Fourier Algebras On Topological Foundation *-Semigroups [PDF]

Semigroup Forum, 2002
We introduce the notion of the Fourier and Fouier-Stieltjes algebra of a topological *-semigroup and show that these are commutative Banach algebras. For a class of foundation semigroups, we show that these are preduals of von Neumann algebras.
Massoud Amini, Alireza Medghalchi
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Metrizability of Clifford topological semigroups [PDF]

, 2011
We prove that a topological Clifford semigroup $S$ is metrizable if and only if $S$ is an $M$-space and the set $E=\{e\in S:ee=e\}$ of idempotents of $S$ is a metrizable $G_\delta$-set in $S$.
A. Arhangel’skii, A.V. Arkhangel’skiĭ, Alex Ravsky, B. Bokalo, G. Gruenhage, K. Morita, O. Gutik, Oleg Gutik, Oles Potiatynyk, P.D. Kruming, R.J. Koch, T. Banakh, T. Banakh, Taras Banakh   +13 more
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A topological approach for rough semigroups

AIMS Mathematics
This study presents a novel approach to defining topological rough semigroups on an approximation space. The concepts of topological space and rough semigroup are naturally combined to achieve this goal.
Nurettin Bağırmaz
doaj   +2 more sources

On locally compact semitopological O-bisimple inverse ω-semigroups

Topological Algebra and its Applications, 2018
We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
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Topological Medial Semigroups

International Journal of Scientific and Innovative Mathematical Research, 2020
Rushadije Halili, Merita Azemi, A Clifford, G Preston, B John, S Pan, G Crombez, G Six, B Pettis, J Chrislok   +9 more
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Topological semigroups and representations. I [PDF]

Transactions of the American Mathematical Society, 1974
James C. S. Wong
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𝜅-topologies for right topological semigroups [PDF]

Proceedings of the American Mathematical Society, 1992
Given a cardinal κ \kappa and a right topological semigroup S S with topology τ \tau , we consider the new topology obtained by declaring any intersection of at most κ \kappa members of τ \tau to be open.
Baker, John, Hindman, Neil, Pym, John
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Commutative Topological Semigroups Embedded into Topological Abelian Groups

Axioms, 2020
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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APPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS [PDF]

Journal of Algebraic Systems, 2014
Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the ...
bharam Mohammadzadeh
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