Magnifying Elements in a Semigroup of Transformations with Restricted Range
Ronnason Chinram, Samruam Baupradist · Missouri Journal of Mathematical Sciences · 2018
Let $Y$ be a nonempty subset of a set $X$ and let $T(X,Y)$ be the semigroup (under composition) of all functions $X\rightarrow X$ whose range is a subset of $Y$. We give necessary and sufficient conditions for elements in $T(X,Y)$ to be left and right magnifying.