Results 1 to 10 of about 1,035 (227)
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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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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Self-Similar Inverse Semigroups from Wieler Solenoids
Mathematics, 2020 Wieler showed that every irreducible Smale space with totally disconnected local stable sets is an inverse limit system, called a Wieler solenoid. We study self-similar inverse semigroups defined by s-resolving factor maps of Wieler solenoids.
Inhyeop Yi
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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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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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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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Expansions of inverse semigroups [PDF]
Journal of the Australian Mathematical Society, 2006 AbstractWe construct the freest idempotent-pure expansion of an inverse semigroup, generalizing an expansion of Margolis and Meakin for the group case. We also generalize the Birget-Rhodes prefix expansion to inverse semigroups with an application to partial actions of inverse semigroups.
Lawson, Mark V. +2 more
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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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Pettis property for Polish inverse semigroups
Applied General Topology, 2023 We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property.
Karen Arana +2 more
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Coverages on inverse semigroups [PDF]
Semigroup Forum, 2020 First we give a definition of a coverage on a inverse semigroup that is weaker than the one gave by a Lawson and Lenz and that generalizes the definition of a coverage on a semilattice given by Johnstone. Given such a coverage, we prove that there exists a pseudogroup that is universal in the sense that it transforms cover-to-join idempotent-pure maps ...
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