2 papers
math.RA2026
On Quasi-Nil Clean Rings
Saikat Das, Sukhendu Kar
In this paper, we introduce a new type of ring, called quasi-nil clean ring, where each element of the ring is the sum of a quasi-idempotent and a nilpotent element. We also invest…
math.RA2026
Graded m-nil clean ring
Saikat Das, Sukhendu Kar
In this paper, we introduce the concept of graded m-nil clean ring to extend the existing notion of graded nil-clean ring introduced in [10]. We explore fundamental properties of t…