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- W3140744894 abstract "Abstract Let R be a ring with center Z, and S a nonempty subset of R . A mapping F from R to R is called centralizing on S if [ x, F(x) ] ∊ Z for all x ∊ S . We show that a semiprime ring R must have a nontrivial central ideal if it admits an appropriate endomorphism or derivation which is centralizing on some nontrivial one-sided ideal. Under similar hypotheses, we prove commutativity in prime rings." @default.
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- W3140744894 date "1987-03-01" @default.
- W3140744894 modified "2023-10-10" @default.
- W3140744894 title "Centralizing Mappings of Semiprime Rings" @default.
- W3140744894 doi "https://doi.org/10.4153/cmb-1987-014-x" @default.
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