D. Basnet

activity

20152026

most citedNil clean graph of rings

6 citations · 23 across the 36 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.RA2018

Weak Nil Clean Ideal

Dhiren Kumar Basnet, Ajay Sharma

As a generalization of nil clean ideal, we define weak nil clean ideal of a ring. An ideal $I$ of a ring $R$ is weak nil clean ideal if for any $x \in I$ , either $x = e + n$ or $x = - e + n$ …

math.RA2018★ 2 cited

Nilpotent Graph

Dhiren Kumar Basnet, Ajay Sharma, Rahul Dutta

In this article, we introduce the concept of nilpotent graph of a finite commutative ring. The set of all non nilpotent elements of a ring is taken as the vertex set and two vertic…

math.RA2018

Commuting probabilities of $n$ -centralizer finite rings

Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath

Let $R$ be a finite ring. The commuting probability of $R$ , denoted by $Pr (R)$ , is the probability that any two randomly chosen elements of $R$ commute. $R$ is called an $n$ -centr…

Weak Nil Clean Ideal

Nilpotent Graph

Commuting probabilities of n-centralizer finite rings

Commuting probabilities of $n$ -centralizer finite rings