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×H] for all finite groups H.

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Published in:Algebra and Discrete Mathematics
Date:2015
Main Authors: Dykema, K., Juschenko, K.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2015
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152785
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On stable finiteness of group rings / K. Dykema, K. Juschenko // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 44-47. — Бібліогр.: 4 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Dykema, K.
Juschenko, K.
author_facet Dykema, K.
Juschenko, K.
citation_txt On stable finiteness of group rings / K. Dykema, K. Juschenko // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 44-47. — Бібліогр.: 4 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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×H] for all finite groups H.
first_indexed 2025-11-25T20:31:26Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-25T20:31:26Z
publishDate 2015
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Dykema, K.
Juschenko, K.
2019-06-12T20:51:05Z
2019-06-12T20:51:05Z
2015
On stable finiteness of group rings / K. Dykema, K. Juschenko // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 44-47. — Бібліогр.: 4 назв. — англ.
1726-3255
2000 MSC:20C07.
https://nasplib.isofts.kiev.ua/handle/123456789/152785
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×H] for all finite groups H.
Research supported in part by NSF grants DMS–0901220 and DMS-1202660.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On stable finiteness of group rings
Article
published earlier
spellingShingle On stable finiteness of group rings
Dykema, K.
Juschenko, K.
title 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_short On stable finiteness of group rings
title_sort on stable finiteness of group rings
url https://nasplib.isofts.kiev.ua/handle/123456789/152785
work_keys_str_mv AT dykemak onstablefinitenessofgrouprings
AT juschenkok onstablefinitenessofgrouprings