Generalized rational identities
of subnormal subgroups of skew fields
Author:
Katsuo Chiba
Journal:
Proc. Amer. Math. Soc. 124 (1996), 1649-1653
MSC (1991):
Primary 16R50; Secondary 16K40
DOI:
https://doi.org/10.1090/S0002-9939-96-03127-9
MathSciNet review:
1301016
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a skew field with infinite center
such that
, and let
be a non-central subnormal subgroup of the multiplicative group
of
. Then there are no non-trivial generalized rational identities of
. This generalizes a theorem proved by Makar-Limanov.
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Additional Information
Katsuo Chiba
Affiliation:
Niihama National College of Technology, Yagumo-Cho 7-1, Niihama 792, Japan
DOI:
https://doi.org/10.1090/S0002-9939-96-03127-9
Received by editor(s):
June 7, 1994
Received by editor(s) in revised form:
October 19, 1994
Communicated by:
Ken Goodearl
Article copyright:
© Copyright 1996
American Mathematical Society