Geodesic
Centralizing Mappings of Prime Rings
Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 122-126

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DOI

Let R be a prime ring and U be a nonzero ideal or quadratic Jordan ideal of R. If L is a nontrivial automorphism or derivation of R such thatuL(u)—L(u)u is in the center of R for every u in U, then the ring R is commutative.
DOI : 10.4153/CMB-1984-018-2
Mots-clés : 16A12, 16A68, 16A70, 16A72 
Mayne, Joseph H. Centralizing Mappings of Prime Rings. Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 122-126. doi: 10.4153/CMB-1984-018-2
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     title = {Centralizing {Mappings} of {Prime} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {122--126},
     year = {1984},
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     number = {1},
     doi = {10.4153/CMB-1984-018-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-018-2/}
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