Results 71 to 80 of about 366 (139)

Semigroups of order-decreasing transformations

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  

The multiplicative semigroup of a Dedekind domain

open access: yes, 2023
In 1995 Grillet defined the concept of a stratified semigroup and a stratified semigroup with zero. The present authors extended that idea to include semigroups with a more general base and proved, amongst other things, that finite semigroups in which ...
Renshaw, James, Warhurst, William
core  

Inclusive varieties of Clifford semigroups

open access: yesSemigroup Forum
Abstract The class of identical inclusions was defined by E. S. Lyapin. This class of nonelementary universal formulas is situated strictly between identities and universal positive formulas. These formulas can be written as identical equalities of subsets of a free algebra, in particular, of
S. Bratchikov, G. Mashevitzky
openaire   +1 more source

The Clifford semiring congruences on an additive regular semiring

open access: yes, 2014
A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive reduct is a regular semigroup.
Bhuniya, A.
core   +1 more source

On inner amenability of Clifford semigroups

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1994
The notion of inner amenability (well known for groups) is introduced for Clifford semigroups. Each element \(s\) of such a semigroup \(S\) defines an inner endomorphism \(c(s)\) on \(S\), which in turn induces an operator \(c(s)\) on the space \(B(S)\) of all bounded functions on \(S\).
openaire   +3 more sources

The Clifford defect of a numerical semigroup

open access: yes
The Clifford defect is a rational number associated to the Weierstrass semigroup at a given point of an algebraic curve. It describes the error-correcting capability of the so-called Modified Algorithm for decoding the corresponding one-point codes defined at the point. This defect also finds applications in other contexts involving one-point codes. We
Camps-Moreno, Eduardo   +3 more
openaire   +2 more sources

Set-theoretical solutions of the pentagon equation on Clifford semigroups

open access: yes
Given a set-theoretical solution of the pentagon equation s : S × S → S × S on a set S and writing s(a,b) = (a · b, θa(b)), with · a binary operation on S and θa a map from S into itself, for every a ∈ S, one naturally obtains that (S, ·) is a semigroup.
Pérez Calabuig, Vicent   +2 more
core   +1 more source

Clifford congruences on generalized quasi-orthodox GV-semigroups

open access: yes, 2013
A semigroup S is said to be completely π-regular if for any a ∈ S there exists a positive integer n such that aⁿ is completely regular. A completely π-regular semigroup S is said to be a GV-semigroup if all the regular elements of S are completely ...
Maity, Sunil
core   +1 more source

Automatic presentations and semigroup constructions

open access: yes, 2010
An automatic presentation for a relational structure is, informally, an abstract representation of the elements of that structure by means of a regular language such that the relations can all be recognized by finite automata.
Oliver, Graham   +3 more
core   +1 more source

Structure of Clifford Semigroups of Matrices

open access: yes, 2010
In this paper, we characterize completely the structure of Clifford semigroups of matrices over an arbitrary field. It is shown that a semigroups of matrices of finite order is a Clifford semigroup if and only if it is isomorphic to a subdirect product of some linear (0-)groups.
openaire   +2 more sources

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