Results 1 to 10 of about 891,199 (161)
(b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup [PDF]
Categories and General Algebraic Structures with Applications, 2021 We prove that the (b, c)-inverse and the inverse along an element in a semigroup are actually genuine inverse when considered as morphisms in the Schützenberger category of a semigroup. Applications to the Reverse Order Law are given.
Xavier MARY
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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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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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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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Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness [PDF]
Documenta Mathematica, 2019 We define "essential" crossed products for inverse semigroup actions by Hilbert bimodules on C*-algebras and for Fell bundles over etale, locally compact groupoids.
B. Kwaśniewski, Ralf Meyer
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The universal Boolean inverse semigroup presented by the abstract Cuntz–Krieger relations [PDF]
Journal of Noncommutative Geometry, 2019 This paper is a contribution to the theory of what might be termed $0$-dimensional non-commutative spaces. We prove that associated with each inverse semigroup $S$ is a Boolean inverse semigroup presented by the abstract versions of the Cuntz-Krieger ...
M. Lawson, A. Vdovina
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Metrics on Doubles as an Inverse Semigroup [PDF]
Journal of Geometric Analysis, 2019 For a metric space X we study metrics on the two copies of X. We define composition of such metrics and show that the equivalence classes of metrics are a semigroup M(X). Our main result is that M(X) is an inverse semigroup. Therefore, one can define the
V. Manuilov
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Semigroup Forum, 1972 Various methods have been given for establishing the existence of the free inverse semigroup FIA on a set A, and for constructing it explicitly (see, for example, [2], [5], [7], [9], [10], [11]). In this paper we outline a graph-theoretic technique for representing the elements of FIA.
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The Booleanization of an inverse semigroup [PDF]
Semigroup Forum, 2018 We prove that the forgetful functor from the category of Boolean inverse semigroups to the category of inverse semigroups with zero has a left adjoint. This left adjoint is what we term the ‘Booleanization’.
M. Lawson
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CHAIN CONDITIONS ON ÉTALE GROUPOID ALGEBRAS WITH APPLICATIONS TO LEAVITT PATH ALGEBRAS AND INVERSE SEMIGROUP ALGEBRAS [PDF]
Journal of the Australian Mathematical Society, 2017 The author has previously associated to each commutative ring with unit $R$ and étale groupoid $\mathscr{G}$ with locally compact, Hausdorff and totally disconnected unit space an $R$ -algebra $R\,\mathscr{G}$ .
B. Steinberg
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