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math.RA2024
Element absorb Topology on rings
Ali Shahidikia
In this paper, we introduce a new Topology related to special elements in a noncummutative rings. Consider a ring , we denote by the set of all idempotent eleme…
math.RA2024
Artinian rings which are not generalized Rickart
Ali Shahidikia
In this note, we show that there exist non-unital right artinian rings which are not generalized Rickart. In particular, we provide examples to show that, [16, Corollary 2.31] is n…