On strongly m-clean rings and m-semiperfect rings

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On strongly m-clean rings and m-semiperfect rings

Purkait, S.

Communications in algebra, 10/2/2020, 2020-10-02, Volume: 48, Issue: 10

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In this article, we continue the study of strongly m-clean ring which we introduced in the paper "On m-clean and strongly m-clean rings" (Purkait et al. 2020). Mainly, we characterize strongly m-clean ring in terms of m-semiperfect ring. For that, we introduce the notion of m-semiperfect ring and establish some results on this ring. We prove that under certain conditions a ring is m-semiperfect if and only if it is strongly m-clean and orthogonally m-finite.

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