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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_4153_CMB_1984_018_2,
     author = {Mayne, Joseph H.},
     title = {Centralizing {Mappings} of {Prime} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {122--126},
     year = {1984},
     volume = {27},
     number = {1},
     doi = {10.4153/CMB-1984-018-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-018-2/}
}
TY  - JOUR
AU  - Mayne, Joseph H.
TI  - Centralizing Mappings of Prime Rings
JO  - Canadian mathematical bulletin
PY  - 1984
SP  - 122
EP  - 126
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-018-2/
DO  - 10.4153/CMB-1984-018-2
ID  - 10_4153_CMB_1984_018_2
ER  - 
%0 Journal Article
%A Mayne, Joseph H.
%T Centralizing Mappings of Prime Rings
%J Canadian mathematical bulletin
%D 1984
%P 122-126
%V 27
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-018-2/
%R 10.4153/CMB-1984-018-2
%F 10_4153_CMB_1984_018_2

[1] 1. Awtar, R., Lie and Jordan structures in prime rings with derivations, Proc. Amer. Math. Soc, 41 (1973), 67-74. Google Scholar

[2] 2. Mayne, J., Centralizing automorphisms of prime rings, Canad, Math. Bull., 19(1) (1976), 113-115. Google Scholar

[3] 3. Mayne, J., Ideals and centralizing mappings in prime rings, Proc. Amer. Math. Soc, 86 (1982), 211-212. Erratum 89 (1983), 187. Google Scholar

[4] 4. McCrimmon, K., On Herstein's theorems relating Jordan and associative algebras, J. Algebra, 13 (1969), 382-392. Google Scholar

[5] 5. Posner, E., Derivations in prime rings, Proc. Amer. Math. Soc, 8 (1957), 1093-1100. Google Scholar

Cité par Sources :