Mathematics – Rings and Algebras
Scientific paper
2008-02-13
Mathematics
Rings and Algebras
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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