2 papers
math.RA2017
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…
math.RA2017
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)\…