| Title:
|
On the construction and the realization of wild monoids (English) |
| Author:
|
Růžička, Pavel |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
33-64 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
monoid |
| Keyword:
|
refinement |
| Keyword:
|
interpolation |
| Keyword:
|
ring |
| Keyword:
|
von Neumann regular |
| MSC:
|
06F20 |
| MSC:
|
15A04 |
| MSC:
|
16E20 |
| MSC:
|
16E50 |
| idZBL:
|
Zbl 06861556 |
| idMR:
|
MR3783290 |
| DOI:
|
10.5817/AM2018-1-33 |
| . |
| Date available:
|
2018-03-12T13:44:16Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147108 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
