On the construction and the realization of wild monoids

Pavel Růžička

Archivum Mathematicum (2018)

  • Volume: 054, Issue: 1, page 33-64
  • ISSN: 0044-8753

Abstract

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We develop elementary methods of computing the monoid for a directly-finite regular ring . We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.

How to cite

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Růžička, Pavel. "On the construction and the realization of wild monoids." Archivum Mathematicum 054.1 (2018): 33-64. <http://eudml.org/doc/294186>.

@article{Růžička2018,
abstract = {We develop elementary methods of computing the monoid $\mathcal \{V\}(R)$ for a directly-finite regular ring $R$. We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.},
author = {Růžička, Pavel},
journal = {Archivum Mathematicum},
keywords = {monoid; refinement; interpolation; ring; von Neumann regular},
language = {eng},
number = {1},
pages = {33-64},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the construction and the realization of wild monoids},
url = {http://eudml.org/doc/294186},
volume = {054},
year = {2018},
}

TY - JOUR
AU - Růžička, Pavel
TI - On the construction and the realization of wild monoids
JO - Archivum Mathematicum
PY - 2018
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 054
IS - 1
SP - 33
EP - 64
AB - We develop elementary methods of computing the monoid $\mathcal {V}(R)$ for a directly-finite regular ring $R$. We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.
LA - eng
KW - monoid; refinement; interpolation; ring; von Neumann regular
UR - http://eudml.org/doc/294186
ER -

References

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