Varieties of *-regular rings

Christian Herrmann

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arXiv · 1904.04505

Varieties of *-regular rings

Christian Herrmann

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Abstract

Given a subdirectly irreducible *-regular ring R, we show that R is a homomorphic image of a regular *-subring of an ultraproduct of the (simple) eRe, e in the minimal ideal of R. Moreover, unit-regularity is shown for every member of the variety generated by artinian *-regular rings (endowed with unit and pseudo-inversion.

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Christian Herrmann. 2024-10-03. Varieties of *-regular rings. https://arxiv.org/abs/1904.04505

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