Representations of distributive semilattices in ideal lattices of various algebraic structures

Details Representations of distributive semilattices in ideal lattices of various algebraic structures Representations of distributive semilattices in ideal lattices of various algebraic structures

2000-11-13

arxiv.org/abs/math/0011083v1

Algebra Universalis 45 (2001) 71--102

Mathematics

Operator Algebras

To appear in Algebra Universalis. Former title: "Representations of distributive semilattices by dimension groups, regular rin

Scientific paper

We study the relationships among existing results about representations of
distributive semilattices by ideals in dimension groups, von Neumann regular
rings, C*-algebras, and complemented modular lattices. We prove additional
representation results which exhibit further connections with the scattered
literature on these different topics.

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