Results 21 to 30 of about 20,555 (206)

Amenability and geometry of semigroups [PDF]

, 2017
We study the connection between amenability, Følner conditions and the geometry of finitely generated semigroups. Using results of Klawe, we show that within an extremely broad class of semigroups (encompassing all groups, left cancellative semigroups ...
Gray, Robert, Kambites, Mark
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Ordered inverse semigroups [PDF]

Transactions of the American Mathematical Society, 1971
In this paper, we consider two questions: one is to characterize the structure of ordered inverse semigroups and the other is to give a condition in order that an inverse semigroup is orderable. The solution of the first question is carried out in terms of three types of mappings.
openaire   +1 more source

$\cPA$-isomorphisms of inverse semigroups

, 2011
A partial automorphism of a semigroup $S$ is any isomorphism between its subsemigroups, and the set all partial automorphisms of $S$ with respect to composition is the inverse monoid called the partial automorphism monoid of $S$.
Goberstein, Simon M.
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On countably compact 0-simple topological inverse semigroups

, 2008
We describe the structure of 0-simple countably compact topological inverse semigroups and the structure of congruence-free countably compact topological inverse ...
Gutik, Oleg, Repovš, Dušan
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E-INVERSIVE *-SEMIGROUPS

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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Continuous Orbit Equivalence on Self-Similar Graph Actions

Mathematics, 2019
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

Semigroup Closures of Finite Rank Symmetric Inverse Semigroups

, 2008
We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
A. Abd-Allah, A.A. Beĭda, A.H. Clifford, A.H. Clifford, B.B. Baird, B.B. Baird, B.B. Baird, B.B. Baird, Dušan Repovš, H.P. Künzi, I.S. Yaroker, J.H. Carruth, J.H. Carruth, J.W. Stepp, J.W. Stepp, Jimmie Lawson, K. Kuratowski, K.D. Magill Jr., L.B. Šneperman, L.M. Gluskin, L.M. Gluskin, M. Petrich, O.V. Gutik, O.V. Gutik, Oleg Gutik, P.I. Booth, R. Engelking, R.J. Koch, S. Mendes-Gonçalves, S. Subbiah, S.D. Orlov, S.D. Orlov, V.V. Filippov, V.V. Wagner, W. Ruppert, Ľ. Holá   +35 more
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Nuclearity of semigroup C*-algebras and the connection to amenability [PDF]

, 2012
We study C*-algebras associated with subsemigroups of groups. For a large class of such semigroups including positive cones in quasi-lattice ordered groups and left Ore semigroups, we describe the corresponding semigroup C*-algebras as C*-algebras of ...
Li, Xin
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On a complete topological inverse polycyclic monoid

Karpatsʹkì Matematičnì Publìkacìï, 2016
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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Free inverse semigroups

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.
openaire   +1 more source