Results 11 to 20 of about 1,026,932 (240)
On locally compact semitopological O-bisimple inverse ω-semigroups [PDF]
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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Homogeneity of inverse semigroups [PDF]
International Journal of Algebra and Computation, 2018 An inverse semigroup [Formula: see text] is a semigroup in which every element has a unique inverse in the sense of semigroup theory, that is, if [Formula: see text] then there exists a unique [Formula: see text] such that [Formula: see text] and [Formula: see text].
Thomas Quinn-Gregson
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$\pi$-inverse ordered semigroups
Discussiones Mathematicae - General Algebra and ApplicationsSummary: This article deals with the generalization of \(\pi\)-inverse semigroups without order to ordered semigroups. Here we characterize \(\pi\)-inverse ordered semigroups by their ordered idempotents and bi-ideals.
Amlan Jamadar
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Finite coverings of semigroups and related structures [PDF]
International Journal of Group Theory, 2023 For a semigroup $S$, the covering number of $S$ with respect to semigroups, $\sigma_s(S)$, is the minimum number of proper subsemigroups of $S$ whose union is $S$.
Casey Donoven, Luise-Charlotte Kappe
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Approximation properties of Fell bundles over inverse semigroups and non-Hausdorff groupoids [PDF]
Advances in Mathematics, 2023 In this paper we study the nuclearity and weak containment property of reduced cross-sectional C*-algebras of Fell bundles over inverse semigroups. In order to develop the theory, we first prove an analogue of Fell's absorption trick in the context of ...
Alcides Buss, Diego Mart'inez
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On epimorphisms and structurally regular semigroups [PDF]
Categories and General Algebraic Structures with Applications, 2021 In this paper we study epimorphisms, dominions and related properties for some classes of structurally (n,m)-regular semigroups for any pair (n,m) of positive integers. In Section 2, after a brief introduction of these semigroups, we prove that the class
Aftab Shah +3 more
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Filtering germs: Groupoids associated to inverse semigroups [PDF]
Expositiones mathematicae, 2020 We investigate various groupoids associated to an arbitrary inverse semigroup with zero. We show that the groupoid of filters with respect to the natural partial order is isomorphic to the groupoid of germs arising from the standard action of the inverse
B. Armstrong +4 more
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Journal of Noncommutative Geometry, 2023 In this work, the notion of a quantum inverse semigroup is introduced as a linearized generalization of inverse semigroups. Beyond the algebra of an inverse semigroup, which is the natural example of a quantum inverse semigroup, several other examples of this new structure are presented in different contexts; those are related to Hopf algebras, weak ...
Marcelo Muniz Alves +2 more
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Left (Right) Regular and Transposition Regular Semigroups and Their Structures
Mathematics, 2022 Regular semigroups and their structures are the most wonderful part of semigroup theory, and the contents are very rich. In order to explore more regular semigroups, this paper extends the relevant classical conclusions from a new perspective: by ...
Xiaohong Zhang, Yudan Du
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Ehresmann Semigroups from a Range Restriction Viewpoint
Journal of Mathematics, 2021 The first theorem in this article provides the connection between Ehresmann semigroups and range prerestriction semigroups defined by the author. By this connection, we can redefine any Ehresmann semigroups by two unary operations and eight axioms.
Wadii Hajji
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