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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.)
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