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arXiv · 2108.12312

Algebraic properties of the group inverse

Nikola Sarajlija
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Abstract

We investigate properties of the group inverse in rings with unit related to products and differences of idempotents, and thus we extend some results from \cite{DENG} to more general settings. We show that most part of \cite{DENG} is easily translated into the context of rings with unit, and that there are some difficulties in generalizing statements dealing with complementary idempotents.

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Nikola Sarajlija. 2021-08-27. Algebraic properties of the group inverse. https://arxiv.org/abs/2108.12312

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