Varieties of $*$-regular rings

Rok, strany: 2020, 815 - 820

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, $R$ (with unit) is directly finite if all $eRe$ are unit-regular. For any subdirect product of artinian $*$-regular rings we construct a unit-regular and $*$-clean extension within its variety.

ISO 690:

Herrmann, C. 2020. Varieties of $*$-regular rings. In Mathematica Slovaca, vol. 70, no.4, pp. 815-820. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0394

APA:

Herrmann, C. (2020). Varieties of $*$-regular rings. Mathematica Slovaca, 70(4), 815-820. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0394

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava