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Algebra and Discrete Mathematics, 2015, Volume 19, Issue 1, Pages 44–47
(Mi adm505)
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This article is cited in 1 scientific paper (total in 1 paper)
RESEARCH ARTICLE
On stable finiteness of group rings
K. Dykemaa, K. Juschenkob a Department of Mathematics, Texas A&M University
b Department of Mathematics, Northwestern University, Evanston, IL
Abstract:
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 $H$.
Keywords:
Kaplansky's Direct Finiteness Conjecture, stable finiteness.
Received: 06.12.2014 Revised: 06.12.2014
Citation:
K. Dykema, K. Juschenko, “On stable finiteness of group rings”, Algebra Discrete Math., 19:1 (2015), 44–47
Linking options:
https://www.mathnet.ru/eng/adm505 https://www.mathnet.ru/eng/adm/v19/i1/p44
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