6 citations · 23 across the 36 of their papers we have counts for
4 papers · 1 filter
A note on -centralizer finite rings
Jutirekha Dutta, Dhiren K. Basnet, Rajat K. Nath
Let be a finite ring and let $\Cent(R)$ denote the set of all distinct centralizers of . is called an -centralizer ring if . In this paper, we characte…
On commuting probability of finite rings
Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath
The commuting probability of a finite ring , denoted by , is the probability that any two randomly chosen elements of commute. In this paper, we obtain several bound…
Characterizing some rings of finite order
Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath
In this paper, we compute the number of distinct centralizers of some classes of finite rings. We then characterize all finite rings with distinct centralizers for any positive…
Weak Nil Clean Rings
Dhiren Kumar Basnet, Jayanta Bhattacharyya
We introduce the concept of a weak nil clean ring, a generalization of nil clean ring, which is nothing but a ring with unity in which every element can be expressed as sum or diff…