J. Dutta

activity

20162018

most citedOn non-commuting graph of a finite ring

1 citations · 1 across the 2 of their papers we have counts for

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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…

math.RA2017

Relative non-commuting graph of a finite ring

Jutirekha Dutta, Dhiren Kumar Basnet

Let $S$ be a subring of a finite ring $R$ and $C_{R} (S) = {r \in R : r s = sr \forall s \in S}$ . The relative non-commuting graph of the subring $S$ in $R$ , denoted by $Γ_{S, R}…

math.RA2017★ 1 cited

On non-commuting graph of a finite ring

J. Dutta, D. K. Basnet

The non-commuting graph $Γ_{R}$ of a finite ring $R$ with center $Z (R)$ is a simple undirected graph whose vertex set is $R ∖ Z (R)$ and two distinct vertices $a$ and $b$ are…

math.RA2017

Some bounds for commuting probability of finite rings

Jutirekha Dutta, Dhiren Kumar Basnet

Let $R$ be a finite ring. The commuting probability of $R$ is the probability that any two randomly chosen elements of $R$ commute. In this paper, we obtain some bounds for commuti…

math.RA2016

On generalized non-commuting graph of a finite ring