Geodesic
Centralizing Automorphisms of Prime Rings
Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 113-115

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

Let R be a prime ring and T be a nontrivial automorphism of R. If xxT —xTx is in the center of the ring for every x in R, then R is a commutative integral domain. 
Mayne, Joseph H. Centralizing Automorphisms of Prime Rings. Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 113-115. doi: 10.4153/CMB-1976-017-1
@article{10_4153_CMB_1976_017_1,
     author = {Mayne, Joseph H.},
     title = {Centralizing {Automorphisms} of {Prime} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {113--115},
     year = {1976},
     volume = {19},
     number = {1},
     doi = {10.4153/CMB-1976-017-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-017-1/}
}
TY  - JOUR
AU  - Mayne, Joseph H.
TI  - Centralizing Automorphisms of Prime Rings
JO  - Canadian mathematical bulletin
PY  - 1976
SP  - 113
EP  - 115
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-017-1/
DO  - 10.4153/CMB-1976-017-1
ID  - 10_4153_CMB_1976_017_1
ER  - 
%0 Journal Article
%A Mayne, Joseph H.
%T Centralizing Automorphisms of Prime Rings
%J Canadian mathematical bulletin
%D 1976
%P 113-115
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-017-1/
%R 10.4153/CMB-1976-017-1
%F 10_4153_CMB_1976_017_1

[1] 1. Awtar, R., “On a Theorem of Posner,” Proc. Cambridge Philos. Soc. 73 (1973), 25–27. Google Scholar

[2] 2. Divinsky, N., “On commuting automorphisms of rings,” Trans. Roy. Soc. Canada, Sect. III, 49 (1955), 19–22. Google Scholar

[3] 3. Luh, J., “A note on commuting automorphisms of rings,” Amer. Math. Monthly 77 (1970), 61–62. Google Scholar

[4] 4. Posner, E., “Derivations in prime rings,” Proc. Amer. Math. Soc. 8 (1957), 1093–1100. Google Scholar

Cité par Sources :