Abstract. We show that a subdirectly irreducible $*$-regular ring admits a representation within some inner product space provided so does its ortholattice of projections.
AMS Subject Classification
(1991): 06C20; 16E50, 16W10
orthocomplemented modular lattice,
inner prodcut space,
received 7.8.2019, revised 19.1.2020, accepted 12.2.2020. (Registered under 87/2019.)