The realization problem for von Neumann regular rings

Mathematics – Rings and Algebras

Scientific paper

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15 pages, survey paper

Scientific paper

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 $R$.

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