Varieties of *-regular rings
Rings and Algebras
2024-10-04 v9
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.
Cite
@article{arxiv.1904.04505,
title = {Varieties of *-regular rings},
author = {Christian Herrmann},
journal= {arXiv preprint arXiv:1904.04505},
year = {2024}
}