Results 41 to 50 of about 382,533 (273)
Inverse semigroup actions as groupoid actions [PDF]
, 2012 To an inverse semigroup, we associate an \'etale groupoid such that its actions on topological spaces are equivalent to actions of the inverse semigroup. Both the object and the arrow space of this groupoid are non-Hausdorff.
A. Pultr +12 more
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A Groupoid Approach to Discrete Inverse Semigroup Algebras [PDF]
, 2009 Let $K$ be a commutative ring with unit and $S$ an inverse semigroup. We show that the semigroup algebra $KS$ can be described as a convolution algebra of functions on the universal \'etale groupoid associated to $S$ by Paterson.
Steinberg, Benjamin
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Categorically Closed Unipotent Semigroups
Axioms, 2022 Let C be a class of T1 topological semigroups, containing all Hausdorff zero-dimensional topological semigroups. A semigroup X is C-closed if X is closed in any topological semigroup Y∈C that contains X as a discrete subsemigroup; X is injectively C ...
Taras Banakh, Myroslava Vovk
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On Maximal Ideals of Compact Connected Topological Semigroups
International Journal of Mathematics and Mathematical Sciences, 2010 Several results concerning ideals of a compact topological semigroup 𝑆 with 𝑆2=𝑆 can be found in the literature. In this paper, we further investigate in a compact connected topological semigroup 𝑆 how the conditions 𝑆2=𝑆 and 𝑆2≠𝑆 affect the structure ...
Phoebe McLaughlin +2 more
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Topological graph inverse semigroups
Topology and its Applications, 2016 25 pages.
Mesyan, Z. +3 more
openaire +4 more sources
International Journal of Mathematics and Mathematical Sciences, 1988 Let f:X→Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X∪Y is a topological semigroup, when the modified Whyburn topology is placed on X∪Y.
Beth Borel Reynolds, Victor Schneider
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Topological entropy of free semigroup actions for noncompact sets
Discrete and Continuous Dynamical Systems. Series A, 2019 In this paper we introduce the topological entropy and lower and upper capacity topological entropies of a free semigroup action, which extends the notion of the topological entropy of a free semigroup action defined by Bufetov [ 10 ], by using the ...
Yujun Ju, Dongkui Ma, Yupan Wang
semanticscholar +1 more source
Extremal topologies on a semigroup
Topology and its Applications, 1991 AbstractFor many semigroups (S, +) it is possible to prove the existence of extremal left translation invariant and extremal left translation invariant zero dimensional topologies. In this paper the origin of such topologies and their relation to idempotents in βS, the Stone-Čech compactification of S, for semigroups with identity is investigated.
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On monoids of monotone injective partial self-maps of integers with cofinite domains and images
, 2012 We study the semigroup $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ of monotone injective partial selfmaps of the set of integers having cofinite domain and image. We show that $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ is bisimple and all of its non-
Gutik, Oleg, Repovš, Dušan
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Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
International Journal of Mathematics and Mathematical Sciences, 2011 The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids.
Massoud Amini, Alireza Medghalchi
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