6 citations · 23 across the 36 of their papers we have counts for
9 papers · 1 filter
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 …
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…
Relative non-commuting graph of a finite ring
Jutirekha Dutta, Dhiren Kumar Basnet
Let be a subring of a finite ring and . The relative non-commuting graph of the subring in , denoted by $Γ_{S, R}…
Weakly Clean Ideal
Ajay Sharma, Dhiren Kumar Basnet
Motivated by the concept of clean ideals, we introduce the notion of weakly clean ideals. We define an ideal of a ring to be weakly clean ideal if for any , …
On non-commuting graph of a finite ring
J. Dutta, D. K. Basnet
The non-commuting graph of a finite ring with center is a simple undirected graph whose vertex set is and two distinct vertices and are…
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…