Results 21 to 30 of about 504,098 (210)

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

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

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

Semigroups of order-decreasing transformations [PDF]

open access: yes, 2012
Let X be a totally ordered set and consider the semigroups of orderdecreasing (increasing) full (partial, partial one-to-one) transformations of X. In this Thesis the study of order-increasing full (partial, partial one-to-one) transformations has been
Umar, Abdullahi
core   +2 more sources

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

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

Quantum stochastic operator cocycles via associated semigroups. [PDF]

open access: yes, 2005
A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J.   +3 more
core   +4 more sources

On adequate transversals [PDF]

open access: yes, 2009
We consider adequate transversals of abundant semigroups and prove that, in a particular case, there is a natural embedding of an inverse transversal within a certain regular subsemigroup.
Renshaw, James, Al-Bar, Jehan
core   +1 more source

Quasi-ideal transversals of abundant semigroups and spined products

open access: yes, 2010
We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Saito for weakly multiplicative inverse transversals of regular semigroups ...
Renshaw, James   +3 more
core   +1 more source

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

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