Semigroups of (linear) transformations whose restrictions belong to a given semigroup

Mosarof Sarkar, Shubh N. Singh

Let $T(X)$ (resp. L(V)) be the semigroup of all transformations (resp. linear transformations) of a set $X$ (resp. vector space $V$). For a subset $Y$ of $X$ and a subsemigroup $\m…