Results 21 to 30 of about 20,464 (181)

A new characterization of a proper type B semigroup

open access: yesOpen Mathematics, 2020
In this paper, we develop the elementary theory of inverse semigroups to the cases of type B semigroups. The main aim of this paper is to study proper type B semigroups. We introduce first the concept of a left admissible triple.
Li Chunhua, Pei Zhi, Xu Baogen
doaj   +1 more source

Nuclearity of semigroup C*-algebras and the connection to amenability [PDF]

open access: yes, 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
core   +1 more source

Domain theory and mirror properties in inverse semigroups [PDF]

open access: yes, 2012
Inverse semigroups are a class of semigroups whose structure induces a compatible partial order. This partial order is examined so as to establish mirror properties between an inverse semigroup and the semilattice of its idempotent elements, such as ...
Poncet, Paul
core   +3 more sources

Structure of split additively orthodox semirings

open access: yesAIMS Mathematics, 2022
The ideas of transversals are important to study algebraic structures which are useful for investigating semirings structure. In this paper, we introduce and explore split additively orthodox semirings which are special semirings with transversals. After
Kaiqing Huang, Yizhi Chen, Aiping Gan
doaj   +1 more source

On countably compact 0-simple topological inverse semigroups

open access: yes, 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
core   +1 more source

Coverages on inverse semigroups [PDF]

open access: yesSemigroup 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 ...
openaire   +3 more sources

Continuous Orbit Equivalence on Self-Similar Graph Actions

open access: yesMathematics, 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

On a complete topological inverse polycyclic monoid

open access: yesKarpatsʹkì 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
doaj   +1 more source

Quantales of open groupoids

open access: yes, 2009
It is well known that inverse semigroups are closely related to \'etale groupoids. In particular, it has recently been shown that there is a (non-functorial) equivalence between localic \'etale groupoids, on one hand, and complete and infinitely ...
Protin, M. Clarence, Resende, Pedro
core   +1 more source

The Booleanization of an inverse semigroup

open access: yes, 2019
We prove that the forgetful functor from the category of Boolean inverse semigroups to inverse semigroups with zero has a left adjoint. This left adjoint is what we term the `Booleanization'.
Lawson, Mark V.
core   +1 more source

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