S. Singh

activity

20112026

most citedOn certain Semigroups of Transformations that preserve a partition

9 citations · 28 across the 18 of their papers we have counts for

collaborators

18 papers

math.GR2026

On the Independence Number of the Prime-Coprime Graph of a Finite Group

Ravi Ranjan, Shubh Narayan Singh, Surbhi Kumari +1

The prime-coprime graph $Θ (G)$ of a finite group $G$ is the simple graph with vertex set $G$ , where two distinct elements are adjacent whenever the greatest common divisor of their…

math.CO2024

On Isolated Gaps of Numerical Semigroups of embedding dimension two

Shubh N. Singh, Ranjan K. Ram

We explicitly describe all the isolated gaps of any numerical semigroup of embedding dimension two, and we give an exact formula for the number of isolated gaps of these numerical…

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…