Results 31 to 40 of about 1,026,932 (240)

Pettis property for Polish inverse semigroups

open access: yesApplied 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
doaj   +1 more source

Ordered inverse semigroups [PDF]

open access: yesTransactions 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

Amalgamating inverse semigroups over ample semigroups [PDF]

open access: yesProceedings of the Estonian Academy of Sciences
We consider semigroup amalgams (S; T1, T2) in which T1 and T2 are inverse semigroups and S is a non-inverse semigroup. They are known to be non-embeddable if T1 and T2 are both groups (Clifford semigroups), but S is not such. We prove that (S; T1, T2) is
Nasir Sohail
doaj   +1 more source

On generalized Ehresmann semigroups

open access: yesOpen Mathematics, 2017
As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature.
Wang Shoufeng
doaj   +1 more source

A characterization of translational hulls of a strongly right type B semigroup

open access: yesOpen Mathematics, 2019
The aim of this paper is to study the translational hull of a strongly right type B semigroup. Our main result is to prove that the translational hull of a strongly right type B semigroup is itself a strongly right type B semigroup. As an application, we
Li Chunhua, Xu Baogen
doaj   +1 more source

Brandt Extensions and Primitive Topological Inverse Semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological
Tetyana Berezovski   +2 more
doaj   +1 more source

The lattice of (2, 1)-congruences on a left restriction semigroup

open access: yesOpen Mathematics, 2022
All the (2, 1)-congruences on a left restriction semigroup become a complete sublattice of its lattice of congruences. The aim of this article is to study certain fundamental properties of this complete sublattice.
Liu Haijun, Guo Xiaojiang
doaj   +1 more source

Higher Regularity, Inverse and Polyadic Semigroups

open access: yesUniverse, 2021
We generalize the regularity concept for semigroups in two ways simultaneously: to higher regularity and to higher arity. We show that the one-relational and multi-relational formulations of higher regularity do not coincide, and each element has several
Steven Duplij
doaj   +1 more source

Graphs and their associated inverse semigroups [PDF]

open access: yesDiscrete Mathematics, 2015
Directed graphs have long been used to gain understanding of the structure of semigroups, and recently the structure of directed graph semigroups has been investigated resulting in a characterization theorem and an analog of Fruct's Theorem.
Tien Chih, Demitri Plessas
semanticscholar   +1 more source

Algebras of right ample semigroups

open access: yesOpen Mathematics, 2018
Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
doaj   +1 more source

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