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.
"Magnifying Elements in a Semigroup of Transformations with Restricted Range." Missouri J. Math. Sci. 30 (1) 54 - 58, May 2018. https://doi.org/10.35834/mjms/1534384954