6 citations · 9 across the 5 of their papers we have counts for
5 papers
Weakly nil clean graphs of rings
Ajay Sharma, Jayanta Bhattacharyya, Dhiren Kumar Basnet
In this article, the concept of nil clean graph of a ring has been generalised to weakly nil clean graph of a ring and graph theoretic properties like girth, clique number, diamete…
Formal triangular matrix ring with nil clean index
Dhiren Kumar Basnet, Jayanta Bhattacharyya
For an element , let $η(a)=\{e\in R\mid e^2=e\mbox{ and }a-e\in \mbox{nil}(R)\}$. The nil clean index of , denoted by NinA, is defined as Nin$(R)=\sup \{\mid η(a)\…
Nil clean graph of rings
Dhiren Kumar Basnet, Jayanta Bhattacharyya
In this article, we have defined nil clean graph of a ring . The vertex set is the ring , two ring elements and are adjacent if and only if is nil clean in $R…
Weak clean index of a ring
Dhiren Kumar Basnet, Jayanta Bhattacharyya
Motivated by the concept of clean index of rings, we introduce the concept of weak clean index of rings. For any element of a ring with unity, we define $ χ(a)=\{e\in R\mid…
Weak Nil Clean Rings
Dhiren Kumar Basnet, Jayanta Bhattacharyya
We introduce the concept of a weak nil clean ring, a generalization of nil clean ring, which is nothing but a ring with unity in which every element can be expressed as sum or diff…