Mosarof Sarkar

activity

20202023

most citedOn certain Semigroups of Transformations that preserve a partition

9 citations · 17 across the 8 of their papers we have counts for

collaborators

8 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.GR2022

Green's relations and unit-regularity for semigroup of transformations whose characters are bijective

Mosarof Sarkar, Shubh N. Singh

Let $X$ be a nonempty set and $P = {X_{i} : i \in I}$ be a partition of $X$ . Denote by $T (X, P)$ the semigroup of all transformations of $X$ that preserve $\ma…

math.GR2021

On certain semigroups of transformations with an invariant set

Mosarof Sarkar, Shubh N. Singh

Let $X$ be a nonempty set and let $T (X)$ be the full transformation semigroup on $X$ . The main objective of this paper is to study the subsemigroup $Ω (X, Y)$ of $T (X)$ def…

math.GR2021

Unit-regular and semi-balanced elements in various semigroups of transformations

Mosarof Sarkar, Shubh N. Singh

Let $T (X)$ be the full transformation semigroup on a set $X$ , and let $L (V)$ be the semigroup under composition of all linear transformations on a vector space $V$ over a field. Fo…

math.GR2021★ 2 cited

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…

math.GR2020★ 6 cited

Regular, Unit-regular, and Idempotent elements of semigroups of transformations that preserve a partition

Mosarof Sarkar, Shubh N. Singh

Let $X$ be a set and $T_{X}$ be the full transformation semigroup on $X$ . For a partition $P$ of $X$ , we consider semigroups $T(X, \mathcal{P}) = \{f\in \mathcal{…

math.GR2020★ 9 cited

On certain Semigroups of Transformations that preserve a partition

Mosarof Sarkar, Shubh N. Singh

Let $X$ be a nonempty set, and let $T_{X}$ be the full transformation semigroup on $X$ . For a partition $P = {X_{i} ∣ i \in I}$ of $X$ , we consider the semigro…