2 papers
math.CO2024★ 1 cited
On the Idempotent Graph of Matrix Ring
Avinash Patil, P. S. Momale, C. M. Jadhav
Let F be a finite field and R = M2(F) be 2x2 matrix ring over F. In this paper, we explicitly determine all the idempotents in R. Using these idempotents, we study the idempotent g…
math.RA2016
Natural Partial Order on Rings with Involution
Avinash Patil, B. N. Waphare
In this paper, we introduce a partial order on rings with involution, which is a generalization of the partial order on the set of projections in a Rickart *-ring. We prove that a…