Results 21 to 30 of about 1,026,932 (240)
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 tight groupoid of the inverse semigroups of left cancellative small categories [PDF]
Transactions of the American Mathematical Society, 2019 We fix a path model for the space of filters of the inverse semigroup S Λ \mathcal {S}_\Lambda associated to a left cancellative small category Λ \Lambda .
E. Ortega, E. Pardo
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Conjugacy in inverse semigroups [PDF]
Journal of Algebra, 2018 In a group $G$, elements $a$ and $b$ are conjugate if there exists $g\in G$ such that $g^{-1} ag=b$. This conjugacy relation, which plays an important role in group theory, can be extended in a natural way to inverse semigroups: for elements $a$ and $b ...
J. Araújo, M. Kinyon, J. Konieczny
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On locally compact semitopological graph inverse semigroups [PDF]
, 2018 In this paper we investigate locally compact semitopological graph inverse semigroups. Our main result is the following: if a directed graph $E$ is strongly connected and contains a finite amount of vertices then a locally compact semitopological graph ...
S. Bardyla
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On locally compact topological graph inverse semigroups [PDF]
Topology and its Applications, 2017 In this paper we characterise graph inverse semigroups which admit only discrete locally compact semigroup topology. This characterization provides a complete answer on the question of Z. Mesyan, J. D. Mitchell, M. Morayne and Y. H.
S. Bardyla
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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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Non-commutative Stone duality: inverse semigroups, topological groupoids and C*-algebras [PDF]
, 2012 We study a non-commutative generalization of Stone duality that connects a class of inverse semigroups, called Boolean inverse $\wedge$-semigroups, with a class of topological groupoids, called Hausdorff Boolean groupoids. Much of the paper is given over
Lawson, Mark V
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Congruences on graph inverse semigroups [PDF]
Journal of Algebra, 2018 Inverse graph semigroups were defined by Ash and Hall in 1975. They found necessary and sufficient conditions for the semigroups to be congruence free.
Zhengpan Wang
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Communications of the Korean Mathematical Society, 2012 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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Condition (K) for inverse semigroups and the ideal structure of their C⁎-algebras [PDF]
Journal of Algebra, 2017 Inspired by results for graph $C^*$-algebras, we investigate connections between the ideal structure of an inverse semigroup $S$ and that of its tight $C^*$-algebra by relating ideals in $S$ to certain open invariant sets in the associated tight groupoid.
Scott M. LaLonde +2 more
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