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On anti-automorphisms of the first kind in division rings
Author(s):
Peter
Beelen;
Ralf
Gramlich
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3745-3746.
MSC (2000):
Primary 16K20, 16W99, 51A10, 51A30
Posted:
June 27, 2002
MathSciNet review:
1920057
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Abstract:
We provide a short proof of the well-known fact that a division ring of finite degree over its center that admits an anti-automorphism of the first kind, i.e., an anti-automorphism that fixes the center elementwise, also admits an involutive anti-automorphism.
References:
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- 1.
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- 2.
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- 3.
- N. Jacobson, Finite-dimensional division algebras over fields, Springer, Berlin 1996. MR 98a:16024
- 4.
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- 5.
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- 7.
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Additional Information:
Peter
Beelen
Affiliation:
Department of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
Email:
pbeelen@win.tue.nl
Ralf
Gramlich
Affiliation:
Department of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
Email:
squid@win.tue.nl
DOI:
10.1090/S0002-9939-02-06746-1
PII:
S 0002-9939(02)06746-1
Keywords:
Division ring,
anti-automorphism
Received by editor(s):
December 7, 2001
Received by editor(s) in revised form:
February 20, 2002
Posted:
June 27, 2002
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2002,
American Mathematical Society
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