Turkish Journal of Mathematics
Green's relations and regularity on some subsemigroups of transformations that preserve equivalences
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 \}. $
DOI
10.3906/mat-1805-50
Keywords
Transformation semigroup, equivalence, GreenÕs relations, regular.
First Page
2513
Last Page
2526
Recommended Citation
SAWATRAKSA, N, & NAMNAK, C (2018). Green's relations and regularity on some subsemigroups of transformations that preserve equivalences. Turkish Journal of Mathematics 42 (5): 2513-2526. https://doi.org/10.3906/mat-1805-50
