Geodesic
Ring Theoretic Properties of Matrix Rings
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 365-374

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

DOI

K. Morita has shown that, given two rings R and S, there is an isomorphism between the category of left R-modules and the category of left S-modules if and only if there exists an R-S bimodule U such that(1) U is a progenerator in the category of left R-modules, and(2) S ≅ (EndR U)opp as rings. 
Kaye, S.M. Ring Theoretic Properties of Matrix Rings. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 365-374. doi: 10.4153/CMB-1967-034-3
@article{10_4153_CMB_1967_034_3,
     author = {Kaye, S.M.},
     title = {Ring {Theoretic} {Properties} of {Matrix} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {365--374},
     year = {1967},
     volume = {10},
     number = {3},
     doi = {10.4153/CMB-1967-034-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-034-3/}
}
TY  - JOUR
AU  - Kaye, S.M.
TI  - Ring Theoretic Properties of Matrix Rings
JO  - Canadian mathematical bulletin
PY  - 1967
SP  - 365
EP  - 374
VL  - 10
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-034-3/
DO  - 10.4153/CMB-1967-034-3
ID  - 10_4153_CMB_1967_034_3
ER  - 
%0 Journal Article
%A Kaye, S.M.
%T Ring Theoretic Properties of Matrix Rings
%J Canadian mathematical bulletin
%D 1967
%P 365-374
%V 10
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-034-3/
%R 10.4153/CMB-1967-034-3
%F 10_4153_CMB_1967_034_3

Cité par Sources :