Geodesic
Noetherian Rings in Which Every Ideal is a Product of Primary Ideals
Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 457-459

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

DOI

The classical rings of number theory, Dedekind domains, are characterized by the property that every ideal is a product of prime ideals. More generally, a commutative ring R with identity has the property that every ideal is a product of prime ideals if and only if R is a finite direct sum of Dedekind domains and special principal ideal rings. These rings, called general Z.P.I. rings, are also characterized by the property that every (prime) ideal is finitely generated and locally principal. 
Anderson, D. D. Noetherian Rings in Which Every Ideal is a Product of Primary Ideals. Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 457-459. doi: 10.4153/CMB-1980-068-2
@article{10_4153_CMB_1980_068_2,
     author = {Anderson, D. D.},
     title = {Noetherian {Rings} in {Which} {Every} {Ideal} is a {Product} of {Primary} {Ideals}},
     journal = {Canadian mathematical bulletin},
     pages = {457--459},
     year = {1980},
     volume = {23},
     number = {4},
     doi = {10.4153/CMB-1980-068-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-068-2/}
}
TY  - JOUR
AU  - Anderson, D. D.
TI  - Noetherian Rings in Which Every Ideal is a Product of Primary Ideals
JO  - Canadian mathematical bulletin
PY  - 1980
SP  - 457
EP  - 459
VL  - 23
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-068-2/
DO  - 10.4153/CMB-1980-068-2
ID  - 10_4153_CMB_1980_068_2
ER  - 
%0 Journal Article
%A Anderson, D. D.
%T Noetherian Rings in Which Every Ideal is a Product of Primary Ideals
%J Canadian mathematical bulletin
%D 1980
%P 457-459
%V 23
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-068-2/
%R 10.4153/CMB-1980-068-2
%F 10_4153_CMB_1980_068_2

Cité par Sources :