Geodesic
On the construction and the realization of wild monoids
Archivum mathematicum, Tome 54 (2018) no. 1, pp. 33-64

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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.
DOI : 10.5817/AM2018-1-33
Classification : 06F20, 15A04, 16E20, 16E50
Keywords: monoid; refinement; interpolation; ring; von Neumann regular 
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Růžička, Pavel. On the construction and the realization of wild monoids. Archivum mathematicum, Tome 54 (2018) no. 1, pp. 33-64. doi: 10.5817/AM2018-1-33

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