2 papers
math.RA2025
Direct finiteness of representable regular rings with involution
Christian Herrmann
For von Neumann *-regular rings R of endomorphisms (the involution given by taking adjoints) of inner product spaces we provide a condition on r in R (in terms of action of r on fi…
math.RA2024
Varieties of *-regular rings
Christian Herrmann
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.…