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- W2961076529 abstract "Let $T(X)$ be the full transformation semigroup on a set $X$. For an equivalence $E$ on $X$ and a nonempty subset $Y$ of $X$, let $$T_{E^*}(X,Y)={ alphain T(X):Xalphasubseteq Y text{and} forall x,yin X,(x,y)in ELeftrightarrow (xalpha,yalpha)in E}.$$ In this article, we give a necessary and sufficient condition for $T_{E^*}(X,Y)$ to be a subsemigroup of $T(X)$ under the composition of functions and study the regularity of $T_{E^*}(X,Y)$. Finally, we characterize Green's relations on this semigroup." @default.
- W2961076529 created "2019-07-23" @default.
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- W2961076529 date "2019-06-20" @default.
- W2961076529 modified "2023-09-28" @default.
- W2961076529 title "Green’s Relations and Regularity for Semigroups of Transformations with Restricted Range that Preserve Double Direction Equivalence Relations" @default.
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