4 citations · 11 across the 13 of their papers we have counts for
13 papers
On the Jacobson radical and semisimplicity of a semiring
A. K. Bhuniya, Puja Sarkar
Based on the minimal and simple representations, we introduce two Jacobson-type Hoehnke radicals, m-radical and s-radical, of a semiring . Every minimal (simple) -semimodule…
Rank preservers of matrices over additively idempotent and multiplicatively cancellative semirings
A. K. Bhuniya, Sushobhan Maity
Here we characterize the linear operators that preserve rank of matrices over additively idempotent and multiplicatively cancellative semirings. The main results in this article ge…
On the prime spectrum of an le-module
M. Kumbhakar, A. K. Bhuniya
Here we continue to characterize a recently introduced notion, le-modules over a commutative ring with unity \cite{Bhuniya}. This article introduces and characterizes Z…
Uniqueness of primary decompositions in Laskerian le-modules
A. K. Bhuniya, M. Kumbhakar
Here we introduce and characterize a new class of le-modules where is a commutative ring with and is a lattice ordered semigroup with the greate…
On the idempotent semirings such that is the least distributive lattice congruence
M. K. Sen, A. K. Bhuniya, R. Debnath
Here we describe the least distributive lattice congruence on an idempotent semiring in general and characterize the varieties and of all ide…
On band orthorings
A. K. Bhuniya, R. Debnath
A semiring which is a union of rings is called completely regular, if moreover, it is orthodox then is called an orthoring. Here we study the orthorings such that $E^+(…
On the spectrum of linear dependence graph of finite dimensional vector spaces
A. K. Bhuniya, Sushobhan Maity
In this paper, we introduce a graph structure called linear dependence graph of a finite dimensional vector space over a finite field. Some basic properties of the graph like conne…
On the power graph of the direct product of two groups
A. K. Bhuniya, Sajal Kumar Mukherjee
The power graph of a finite group is the graph with vertex set and two distinct vertices are adjacent if either of them is a power of the other. Here we show that th…
An elementary proof of a conjecture on graph-automorphism
Sajal Kumar Mukherjee, A. K. Bhuniya
In this article, we give an elementary combinatorial proof of a conjecture about the determination of automorphism group of the power graph of finite cyclic groups, proposed by Doo…
On some properties of enhanced power graph
Sudip Bera, A. K. Bhuniya
Given a group , the enhanced power graph of denoted by , is the graph with vertex set and two distinct vertices are edge connected in $\mathcal{…
Normal Subgroup Based Power Graph of a finite Group
A. K. Bhuniya, Sudip Bera
For a finite group with a normal subgroup , the normal subgroup based power graph of , denoted by whose vertex set and tw…
On the power graphs which are Cayley graphs of some groups
S. Mukherjee, A. K. Bhuniya
In 2013, Jemal Abawajy, Andrei Kelarev and Morshed Chowdhury [1] proposed a problem to characterize the finite groups whose power graphs are Cayley graphs of some groups. Here we g…
On some characterizations of strong power graphs of finite groups
A. K. Bhuniya, S. Bera
Let be a finite group of order . The strong power graph of is the undirected graph whose vertices are the elements of such that two distinct v…