Abstract:We examine those matrix rings whose entries lie in periodic rings equipped with some additional properties. Specifically, we prove that the famous Diesl's question whether or not R being nil-clean implies that M n (R) is nil-clean for all n ≥ 1 is paralleling to the corresponding implication for (Abelian, local) periodic rings. Besides, we study when the endomorphism ring E(G) of an Abelian group G is periodic. Concretely, we establish that E(G) is periodic exactly when G is finite as well as we find a complet… Show more
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