Centralizing Automorphisms of Lie Ideals in Prime Rings
Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 510-514

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

DOI

Let R be a prime ring of characteristic not equal to two and let T be an automorphism of R. If U is a Lie ideal of R such that T is nontrivial on U and xxT — xTx is in the center of R for every x in U, then U is contained in the center of R.
DOI : 10.4153/CMB-1992-067-0
Mots-clés : 16A68, 16A70, 16A72
Mayne, Joseph H. Centralizing Automorphisms of Lie Ideals in Prime Rings. Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 510-514. doi: 10.4153/CMB-1992-067-0
@article{10_4153_CMB_1992_067_0,
     author = {Mayne, Joseph H.},
     title = {Centralizing {Automorphisms} of {Lie} {Ideals} in {Prime} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {510--514},
     year = {1992},
     volume = {35},
     number = {4},
     doi = {10.4153/CMB-1992-067-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-067-0/}
}
TY  - JOUR
AU  - Mayne, Joseph H.
TI  - Centralizing Automorphisms of Lie Ideals in Prime Rings
JO  - Canadian mathematical bulletin
PY  - 1992
SP  - 510
EP  - 514
VL  - 35
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-067-0/
DO  - 10.4153/CMB-1992-067-0
ID  - 10_4153_CMB_1992_067_0
ER  - 
%0 Journal Article
%A Mayne, Joseph H.
%T Centralizing Automorphisms of Lie Ideals in Prime Rings
%J Canadian mathematical bulletin
%D 1992
%P 510-514
%V 35
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-067-0/
%R 10.4153/CMB-1992-067-0
%F 10_4153_CMB_1992_067_0

Cité par Sources :