Affiliation:
1. Technische Universität Darmstadt FB4 , Schloßgartenstr. 7, D–64289 , Darmstadt , Germany
Abstract
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, 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.
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