On stable finiteness of group rings

• 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
• 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.

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.