On anti-automorphisms of the first kind in division rings

Beelen, Peter; Gramlich, Ralf

doi:10.1090/S0002-9939-02-06746-1

On anti-automorphisms of the first kind in division rings
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by Peter Beelen and Ralf Gramlich PDF

Proc. Amer. Math. Soc. 130 (2002), 3745-3746 Request permission

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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