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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
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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.

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