Results 51 to 60 of about 1,595,421 (249)
Summary: \((S,*)\) is a semigroup \(S\) equipped with a unary operation ``\(*\)''. This work is devoted to a class of unary semigroups, namely \(E\)-inversive \(*\)-semigroups. A unary semigroup \((S,*)\) is called an \(E\)-inversive \(*\)-semigroup if the following identities hold: \(x^*xx^*=x^*\), \((x^*)^*=xx^*x\), \((xy)^*=y^*x^*\). In this paper, \
Wang, Shoufeng, Li, Yinghui
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The Bergman property for semigroups [PDF]
In this article, we study the Bergman property for semigroups and the associated notions of cofinality and strong cofinality. A large part of the paper is devoted to determining when the Bergman property, and the values of the cofinality and strong ...
Ruskuc, N. +9 more
core +1 more source
Continuous Orbit Equivalence on Self-Similar Graph Actions
For self-similar graph actions, we show that isomorphic inverse semigroups associated to a self-similar graph action are a complete invariant for the continuous orbit equivalence of inverse semigroup actions on infinite path spaces.
Inhyeop Yi
doaj +1 more source
Inverse semigroups associated with labelled spaces and their tight spectra [PDF]
The notion of a labelled space was introduced by Bates and Pask in generalizing certain classes of C*-algebras. Motivated by Exel’s work on inverse semigroups and combinatorial C*-algebras, we associate each weakly left resolving labelled space with an ...
Giuliano Boava +2 more
semanticscholar +1 more source
On Double Inverse Semigroups [PDF]
A double semigroup is a set equipped with two associative binary operations satisfying the middle-four interchange law. A double inverse semigroup is a double semigroup in which both operations are inverse semigroup operations. It is shown by Kock (2007)
DeWolf, Darien
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Amenability and uniqueness for groupoids associated with inverse semigroups [PDF]
We investigate recent uniqueness theorems for reduced $$C^*$$C∗-algebras of Hausdorff étale groupoids in the context of inverse semigroups. In many cases the distinguished subalgebra is closely related to the structure of the inverse semigroup.
Scott M. LaLonde, David Milan
semanticscholar +1 more source
On a complete topological inverse polycyclic monoid
We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups.
S.O. Bardyla, O.V. Gutik
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Catalan Bounds for Symmetric Strength‐Two Orthogonal Arrays
ABSTRACT A Hamming shell construction is a two‐level array obtained by taking every binary vector of a given Hamming weight a prescribed number of times, for each weight in turn. Such arrays are invariant under all permutations of the factors, and they are strength‐two orthogonal arrays exactly when the multiplicities satisfy three linear constraints ...
Ruwan C. Karunanayaka
wiley +1 more source
Reduced C*-algebras of Fell bundles over inverse semigroups [PDF]
We construct a weak conditional expectation from the section C*-algebra of a Fell bundle over a unital inverse semigroup to its unit fibre. We use this to define the reduced C*-algebra of the Fell bundle.
Alcides Buss, R. Exel, R. Meyer
semanticscholar +1 more source
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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