| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 49 Number 6
Volume 49 Number 5
Volume 49S Number 1
Volume 49 Number 4
Volume 49 Number 3
Volume 49 Number 2
Earlier issues
Volume  Number 

previous article next article

Research articles

ScienceAsia 49 (2023): 678-684 |doi: 10.2306/scienceasia1513-1874.2023.024


On magnifying elements in semigroups of transformations restricted by an equivalence relation with a restricted range


Thananya Kaewnoi, Phoschanun Ratanaburee, Ronnason Chinram, Montakarn Petapirak*

 
ABSTRACT:     An element a of a semigroup S is called a right (left) magnifying element if S contains a proper subset M such that M a = S (aM = S). Let Y be a nonempty subset of a set X and ? be an equivalence relation on X. Denote the semigroup of transformations restricted by an equivalence relation with a restricted range by E(X, Y,?). In this paper, we investigate magnifying elements in E(X, Y,?) and give the necessary and sufficient conditions for elements in E(X, Y,?) to be a right or a left magnifying element.

Download PDF

55 Downloads 227 Views


a Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110 Thailand

* Corresponding author, E-mail: montakarn.p@psu.ac.th

Received 10 May 2022, Accepted 14 Dec 2022