On free group algebras in division rings
with uncountable center
Authors:
J. Goncalves and M. Shirvani
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
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Let be a division algebra with uncountable center
. If
contains a noncommutative free
-algebra, then
also contains the
-group algebra of the free group of rank 2.
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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
DOI:
https://doi.org/10.1090/S0002-9939-96-03032-8
Keywords:
Division ring,
free algebra,
free group algebra
Received by editor(s):
September 21, 1993
Received by editor(s) in revised form:
July 25, 1994
Communicated by:
Ken Goodearl
Article copyright:
© Copyright 1996
American Mathematical Society