ACTA issues

Representations of $*$-regular rings and their ortholattices of projections

Christian Herrmann, Niklas Niemann

Acta Sci. Math. (Szeged) 86:1-2(2020), 105-115

Abstract. We show that a subdirectly irreducible $*$-regular ring admits a representation within some inner product space provided so does its ortholattice of projections.

DOI: 10.14232/actasm-019-837-x

AMS Subject Classification (1991): 06C20; 16E50, 16W10

Keyword(s): orthocomplemented modular lattice, $*$-regular ring, frame, inner prodcut space, representation

received 7.8.2019, revised 19.1.2020, accepted 12.2.2020. (Registered under 87/2019.)