Mosarof Sarkar

collaborators

3 papers

math.RA2023

Semigroups of transformations whose characters belong to a given semigroup

Mosarof Sarkar, Shubh N. Singh

Let $X$ be a nonempty set and $P = {X_{i} : i \in I}$ a partition of $X$ . Denote by $T (X)$ the full transformation semigroup on $X$ , and $T (X, P)$ the subsemig…

math.GR2023

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…

math.GR2021

On unit-regular elements in various monoids of transformations

Mosarof Sarkar, Shubh N. Singh

Let $X$ be an arbitrary set and let $T (X)$ denote the full transformation monoid on $X$ . We prove that an element of $T (X)$ is unit-regular if and only if it is semi-balanced. For…