Turkish Journal of Mathematics
Green's relations and regularity on some subsemigroups of transformations that preserve equivalences
DOI
10.3906/mat-1805-50
Abstract
Let $T(X)$ be the full transformation semigroup on a set $X$. For two equivalence relations $E$ and $F$ on $X$ with $F \subseteq E$, let $T(X, E, F) = \{ \alpha \in T(X) : \forall x, y \in X, (x, y)\in E \Rightarrow (x\alpha, y\alpha) \in F \}. $
Keywords
Transformation semigroup, equivalence, GreenÕs relations, regular.
First Page
2513
Last Page
2526
Recommended Citation
SAWATRAKSA, NARES and NAMNAK, CHAIWAT
(2018)
"Green's relations and regularity on some subsemigroups of transformations that preserve equivalences,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 32.
https://doi.org/10.3906/mat-1805-50
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/32
