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On anti-automorphisms of the first kind in division rings. (English) Zbl 1016.16009

A short proof is given for the well-known fact that a division ring of finite degree over its center that admits an anti-automorphism of the first kind also admits an involutive anti-automorphism.

MSC:

16K20 Finite-dimensional division rings
16W20 Automorphisms and endomorphisms
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
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