Can a Semi-Prime Ring be a Finite Union of Right Annihilators?
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 126-128

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

The interesting question of the title was posed by J. Bergen and this note answers it in the negative. The main result characterizes rings which can be a finite union of proper right annihilators, and shows that any such commutative ring must have a total annihilator.
DOI : 10.4153/CMB-1990-021-0
Mots-clés : 16A34, 16A12, 16A48
Lanski, Charles. Can a Semi-Prime Ring be a Finite Union of Right Annihilators?. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 126-128. doi: 10.4153/CMB-1990-021-0
@article{10_4153_CMB_1990_021_0,
     author = {Lanski, Charles},
     title = {Can a {Semi-Prime} {Ring} be a {Finite} {Union} of {Right} {Annihilators?}},
     journal = {Canadian mathematical bulletin},
     pages = {126--128},
     year = {1990},
     volume = {33},
     number = {1},
     doi = {10.4153/CMB-1990-021-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-021-0/}
}
TY  - JOUR
AU  - Lanski, Charles
TI  - Can a Semi-Prime Ring be a Finite Union of Right Annihilators?
JO  - Canadian mathematical bulletin
PY  - 1990
SP  - 126
EP  - 128
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-021-0/
DO  - 10.4153/CMB-1990-021-0
ID  - 10_4153_CMB_1990_021_0
ER  - 
%0 Journal Article
%A Lanski, Charles
%T Can a Semi-Prime Ring be a Finite Union of Right Annihilators?
%J Canadian mathematical bulletin
%D 1990
%P 126-128
%V 33
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-021-0/
%R 10.4153/CMB-1990-021-0
%F 10_4153_CMB_1990_021_0

[1] 1. Herstein, I. N., Noncommutative Rings, The Cams Mathematical Monographs, No. 15, The Mathematical Association of America, 1968. Google Scholar

[2] 2. Neumann, B. H., Groups covered by permutable subsets, J. Lond. Math. Soc, 29 (1954), 236–248. Google Scholar

Cité par Sources :