3 papers
math.RA2017
Nil Clean Ideal
Ajay Sharma, Dhiren Kumar Basnet
Motivated by the concept of clean ideals, we introduce the notion of nil clean ideals of a ring. We define an ideal of a ring to be nil clean ideal if every element of …
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
Weakly -clean rings and weakly -clean rings
Ajay Sharma, Dhiren Kumar Basnet
Motivated by the concept of weakly clean rings, we introduce the concept of weakly -clean rings. We define an element of a ring as weakly -clean if it can be expresse…