On strong commutativity-preserving maps

M. S. Samman

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-7

Abstract:

We identify some strong commutativity-preserving maps on semiprime rings. Among other results, we prove the following. (i) A centralizing homomorphism f of a semiprime ring R onto itself is strong commutativity preserving. (ii) A centralizing antihomomorphism f of a 2-torsion-free semiprime ring R onto itself is strong commutativity preserving.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:614718

DOI: 10.1155/IJMMS.2005.917

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