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arXiv · 0907.2281

A note on completeness in the theory of strongly clean rings

Alexander J. Diesl·Thomas J. Dorsey
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Abstract

Many authors have investigated the behavior of strong cleanness under certain ring extensions. In this note, we prove that if $R$ is a ring which is complete with respect to an ideal $I$ and if $x$ is an element of $R$ whose image in $R/I$ is strongly $π$-regular, then $x$ is strongly clean in $R$.

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Alexander J. Diesl, Thomas J. Dorsey. 2009-07-14. A note on completeness in the theory of strongly clean rings. https://arxiv.org/abs/0907.2281

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