REPRESENTATIONS OF DISTRIBUTIVE SEMILATTICES IN
IDEAL LATTICES OF VARIOUS ALGEBRAIC STRUCTURES
K.R. GOODEARL AND F. WEHRUNG
Abstract.We study the relationships among existing results about repre-
sentations of distributive semilattices by ideals in dimension groups, v*
mann regular rings, C*-algebras, and complemented modular lattices. We
prove additional representation results which exhibit further connection*
the scattered literature on these different topics.