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Keywords:
monoid; refinement; interpolation; ring; von Neumann regular
monoid; refinement; interpolation; ring; von Neumann regular
Summary:
We develop elementary methods of computing the monoid $\boldsymbol{\mathcal{V}}(\boldsymbol{R})$ for a directly-finite regular ring $\boldsymbol{R}$. We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.
References:
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