Regularity of semigroups of transformations whose characters form the semigroup of a \(\Delta\)-structure
type: Item
instance of: scholarly article
title: Regularity of semigroups of transformations whose characters form the semigroup of a \(\Delta\)-structure
zbMATH Open document ID: 1486.20080
DOI: 10.1155/2020/8872391
author: Jittisak Rakbud
author: Malinee Chaiya
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2021-06-17T00:00:00Z
review text: Summary: In this paper, we make use of the notion of the character of a transformation on a fixed set \(X\), provided by \textit{P. Purisang} and the first author [Commun. Korean Math. Soc. 31, No. 2, 217--227 (2016; Zbl 1341.20063)], and the notion of a \(\Delta\)-structure on \(X\), provided by \textit{K. D. Magill jun.} and \textit{S. Subbiah} [Can. J. Math. 26, 1484--1497 (1974; Zbl 0316.20041)], to define a sub-semigroup of the full-transformation semigroup \(T(X)\). We also define a sub-semigroup of that semigroup. The regularity of those two semigroups is also studied.
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M17
zbMATH DE Number: 7360731
zbMATH Keywords: sub-semigroup
zbMATH Keywords: characters
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/8872391
OpenAlex ID: W3115851472
cites work: Q3428803
cites work: Q3384724
cites work: Q3384654
cites work: Regularity and Green's relations on semigroups of transformations with restricted range that preserve an equivalence
cites work: Q5858973
cites work: Regularity in the semigroup of transformations preserving a zig-zag order
cites work: Semigroups of Transformations Preserving an Equivalence Relation and a Cross-Section
cites work: Equivalences, \(\alpha\)-semigroups and \(\alpha\)-congruences
cites work: REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE
cites work: Green's equivalences on semigroups of transformations preserving order and an equivalence relation.
cites work: Regularity of transformation semigroups defined by a partition.
cites work: Q5225476
cites work: Green's Relations for Regular Elements of Semigroups of Endomorphisms
description: scientific article; zbMATH DE number 7360731