On stable finiteness of group rings
For an arbitrary field or division ring \(K\) and an arbitrary group \(G\), stable finiteness of \(K[G]\) is equivalent to direct finiteness of \(K[G\times H]\) for all finite groups \(H\).
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1174 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-11742018-05-17T07:50:53Z On stable finiteness of group rings Dykema, Ken Juschenko, Kate Kaplansky’s Direct Finiteness Conjecture, stable finiteness 20C07 For an arbitrary field or division ring \(K\) and an arbitrary group \(G\), stable finiteness of \(K[G]\) is equivalent to direct finiteness of \(K[G\times H]\) for all finite groups \(H\). Lugansk National Taras Shevchenko University 2018-05-17 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1174 Algebra and Discrete Mathematics; Vol 19, No 1 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1174/663 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-05-17T07:50:53Z |
| collection |
OJS |
| language |
English |
| topic |
Kaplansky’s Direct Finiteness Conjecture stable finiteness 20C07 |
| spellingShingle |
Kaplansky’s Direct Finiteness Conjecture stable finiteness 20C07 Dykema, Ken Juschenko, Kate On stable finiteness of group rings |
| topic_facet |
Kaplansky’s Direct Finiteness Conjecture stable finiteness 20C07 |
| format |
Article |
| author |
Dykema, Ken Juschenko, Kate |
| author_facet |
Dykema, Ken Juschenko, Kate |
| author_sort |
Dykema, Ken |
| title |
On stable finiteness of group rings |
| title_short |
On stable finiteness of group rings |
| title_full |
On stable finiteness of group rings |
| title_fullStr |
On stable finiteness of group rings |
| title_full_unstemmed |
On stable finiteness of group rings |
| title_sort |
on stable finiteness of group rings |
| description |
For an arbitrary field or division ring \(K\) and an arbitrary group \(G\), stable finiteness of \(K[G]\) is equivalent to direct finiteness of \(K[G\times H]\) for all finite groups \(H\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1174 |
| work_keys_str_mv |
AT dykemaken onstablefinitenessofgrouprings AT juschenkokate onstablefinitenessofgrouprings |
| first_indexed |
2025-07-17T10:35:05Z |
| last_indexed |
2025-07-17T10:35:05Z |
| _version_ |
1837890017071988736 |