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math.RA2026

On Strongly --clean ring

Saikat Das, Sukhendu Kar

Motivated by the recent study of strongly -clean rings, we introduce and study strongly --clean rings. We establish their fundamental properties and characterize strongly…

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…