On free group algebras in division rings with uncountable center
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- by J. Goncalves and M. Shirvani PDF
- Proc. Amer. Math. Soc. 124 (1996), 685-687 Request permission
Abstract:
Let $D$ be a division algebra with uncountable center $k$. If $D$ contains a noncommutative free $k$-algebra, then $D$ also contains the $k$-group algebra of the free group of rank 2.References
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Additional Information
- J. Goncalves
- Affiliation: Department of Mathematics, University of Sao Paulo, CP 66281, 05389-970 Sao Paulo SP, Brazil
- Email: jzg@ime.usp.br
- M. Shirvani
- Affiliation: Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- Email: mazi@schur.math.ualberta.ca
- Received by editor(s): September 21, 1993
- Received by editor(s) in revised form: July 25, 1994
- Communicated by: Ken Goodearl
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 685-687
- MSC (1991): Primary 16A39; Secondary 16A06, 16A48
- DOI: https://doi.org/10.1090/S0002-9939-96-03032-8
- MathSciNet review: 1291771