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- Title
On Magnifying Elements in E-Preserving Partial Transformation Semigroups.
- Authors
Kaewnoi, Thananya; Petapirak, Montakarn; Chinram, Ronnason
- 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.
- Subjects
SEMIGROUPS (Algebra); EQUIVALENCE relations (Set theory); MATHEMATICAL transformations; SUBSET selection; GROUP theory
- Publication
Mathematics (2227-7390), 2018, Vol 6, Issue 9, p160
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math6090160