Rings In Which Every Element Is A Sum Of A Nilpotent And Three Tripotents

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY（2021）

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摘要

In this article, we completely determine the rings for which every element is a sum of a nilpotent and three tripotents that commute with one another. We discuss this property for some extensions of rings, including group rings.

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关键词

Nilpotent, tripotent, sum of a nilpotent and three tripotents, Boolean ring, group ring

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