On anti-automorphisms of the first kind in division rings |
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Authors: | Peter Beelen Ralf Gramlich |
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Institution: | Department of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands ; Department of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands |
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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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Keywords: | Division ring anti-automorphism |
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