Geodesic
Noetherian Tensor Products
Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 235-238

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

DOI

Relatively little is known about the ideal structure of A⊗R A' when A and A' are R-algebras. In [4, p. 460], Curtis and Reiner gave conditions that imply certain tensor products are semi-simple with minimum condition. Herstein considered when the tensor product has zero Jacobson radical in [6, p. 43]. Jacobson [7, p. 114] studied tensor products with no two-sided ideals, and Rosenberg and Zelinsky investigated semi-primary tensor products in [9].All rings considered in this paper are assumed to be commutative with identity. Furthermore, R will always denote a field. 
Magarian, E. A.; Motto, J. L. Noetherian Tensor Products. Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 235-238. doi: 10.4153/CMB-1972-043-x
@article{10_4153_CMB_1972_043_x,
     author = {Magarian, E. A. and Motto, J. L.},
     title = {Noetherian {Tensor} {Products}},
     journal = {Canadian mathematical bulletin},
     pages = {235--238},
     year = {1972},
     volume = {15},
     number = {2},
     doi = {10.4153/CMB-1972-043-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-043-x/}
}
TY  - JOUR
AU  - Magarian, E. A.
AU  - Motto, J. L.
TI  - Noetherian Tensor Products
JO  - Canadian mathematical bulletin
PY  - 1972
SP  - 235
EP  - 238
VL  - 15
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-043-x/
DO  - 10.4153/CMB-1972-043-x
ID  - 10_4153_CMB_1972_043_x
ER  - 
%0 Journal Article
%A Magarian, E. A.
%A Motto, J. L.
%T Noetherian Tensor Products
%J Canadian mathematical bulletin
%D 1972
%P 235-238
%V 15
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-043-x/
%R 10.4153/CMB-1972-043-x
%F 10_4153_CMB_1972_043_x

Cité par Sources :