On Magnifying Elements in E-Preserving Partial Transformation Semigroups

Thananya Kaewnoi, Montakarn Petapirak and Ronnason Chinram
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Thananya Kaewnoi: Department of Mathematics and Statistics, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand
Montakarn Petapirak: Algebra and Applications Research Unit, Department of Mathematics and Statistics, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand
Ronnason Chinram: Algebra and Applications Research Unit, Department of Mathematics and Statistics, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand

Mathematics, 2018, vol. 6, issue 9, 1-7

Abstract: Let S be a semigroup. An element a of S is called a right [left] magnifying element if there exists a proper subset M of S satisfying S = M a [ S = a M ] . Let E be an equivalence relation on a nonempty set X . In this paper, we consider the semigroup P ( X , E ) consisting of all E -preserving partial transformations, which is a subsemigroup of the partial transformation semigroup P ( X ) . The main propose of this paper is to show the necessary and sufficient conditions for elements in P ( X , E ) to be right or left magnifying.

Keywords: magnifying elements; transformation semigroups; equivalence relations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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