On anti-automorphisms of the first kind in division rings
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- by Peter Beelen and Ralf Gramlich
- Proc. Amer. Math. Soc. 130 (2002), 3745-3746
- DOI: https://doi.org/10.1090/S0002-9939-02-06746-1
- Published electronically: June 27, 2002
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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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Bibliographic Information
- Peter Beelen
- Affiliation: Department of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
- MR Author ID: 672478
- 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
- Received by editor(s): December 7, 2001
- Received by editor(s) in revised form: February 20, 2002
- Published electronically: June 27, 2002
- Communicated by: Martin Lorenz
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3745-3746
- MSC (2000): Primary 16K20, 16W99, 51A10, 51A30
- DOI: https://doi.org/10.1090/S0002-9939-02-06746-1
- MathSciNet review: 1920057