The realization problem for von Neumann regular rings

Abstract

We survey recent progress on the realization problem for von Neumann regular rings, which asks whether every countable conical refinement monoid can be realized as the monoid of isoclasses of finitely generated projective right $R$-modules over a von Neumann regular ring $R$.

15 pages, survey paper. It contains a new version of Proposition 4.1, due to Ken Goodearl

References in corpus (1)

• A solution to Dilworth's Congruence Lattice Problem

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