Proceedings of the American Mathematical Society
Let H be a prime ring and U be a nonzero ideal of R. If T is a nontrivial automorphism or derivation of Ft such that uuT — uTu is in the center of R and uT is in U for every u in U, then R is commutative. If R does not have characteristic equal to two, then U need only be a nonzero Jordan ideal.
Mayne, JH. "Ideals and Centralizing Mappings in Prime Rings." Proceedings of the American Mathematical Society 86(2), 1982.
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© American Mathematical Society, 1982.