期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.917
出版社：Hindawi Publishing Corporation
摘要：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.
