Geodesic
Stable Rings
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 173-178

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

DOI

Let R be an associative ring with identity. If R is von- Neumann regular of a left v-ring, then for each left ideal, I, we have I 2 = I. In this note we study rings such that for each left ideal L there exists an integer n = n(L)>0 such that Ln = Ln+1 . We call such rings stable rings. We completely describe the stable commutative rings. These descriptions give rise to concepts related to, but more general than, finite Goldie dimension and T-nilpotence, and a notion of power pure. 
Page, S. S. Stable Rings. Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 173-178. doi: 10.4153/CMB-1980-023-0
@article{10_4153_CMB_1980_023_0,
     author = {Page, S. S.},
     title = {Stable {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {173--178},
     year = {1980},
     volume = {23},
     number = {2},
     doi = {10.4153/CMB-1980-023-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-023-0/}
}
TY  - JOUR
AU  - Page, S. S.
TI  - Stable Rings
JO  - Canadian mathematical bulletin
PY  - 1980
SP  - 173
EP  - 178
VL  - 23
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-023-0/
DO  - 10.4153/CMB-1980-023-0
ID  - 10_4153_CMB_1980_023_0
ER  - 
%0 Journal Article
%A Page, S. S.
%T Stable Rings
%J Canadian mathematical bulletin
%D 1980
%P 173-178
%V 23
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-023-0/
%R 10.4153/CMB-1980-023-0
%F 10_4153_CMB_1980_023_0

Cité par Sources :