2 papers
math.RA2019
Representations of *-regular rings and their ortholattices of projections
Christian Herrmann, Niklas Niemann
We show that a subdirectly irreducible *-regular ring admits a representation within some inner product space provided so does its ortholattice of projections.
math.RA2018
On linear representation of -regular rings having representable ortholattice of projections
Christian Herrmann, Niklas Niemann
This paper aims at the following results: \begin{enumerate} \item The class of all -regular rings forms a variety. \item A subdirectly irreducible -regular ring is faithf…