Geodesic
On the Ideal Equation I(B ∩ C) = IB∩IC
Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 331-332

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

DOI

Let R be an integral domain with quotient field K and let I be a nonzero ideal of R. We show (1) that I is invertible if and only if for every nonempty collection {Bα} of ideals of R and (2) that I is flat if and only if I(B ∩ C) = IB∩IC for each pair of ideals B and C of R.
DOI : 10.4153/CMB-1983-054-3
Mots-clés : 13C11, 13G05 
Anderson, D. D. On the Ideal Equation I(B ∩ C) = IB∩IC. Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 331-332. doi: 10.4153/CMB-1983-054-3
@article{10_4153_CMB_1983_054_3,
     author = {Anderson, D. D.},
     title = {On the {Ideal} {Equation} {I(B} \ensuremath{\cap} {C)} = {IB\ensuremath{\cap}IC}},
     journal = {Canadian mathematical bulletin},
     pages = {331--332},
     year = {1983},
     volume = {26},
     number = {3},
     doi = {10.4153/CMB-1983-054-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-054-3/}
}
TY  - JOUR
AU  - Anderson, D. D.
TI  - On the Ideal Equation I(B ∩ C) = IB∩IC
JO  - Canadian mathematical bulletin
PY  - 1983
SP  - 331
EP  - 332
VL  - 26
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-054-3/
DO  - 10.4153/CMB-1983-054-3
ID  - 10_4153_CMB_1983_054_3
ER  - 
%0 Journal Article
%A Anderson, D. D.
%T On the Ideal Equation I(B ∩ C) = IB∩IC
%J Canadian mathematical bulletin
%D 1983
%P 331-332
%V 26
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-054-3/
%R 10.4153/CMB-1983-054-3
%F 10_4153_CMB_1983_054_3

Cité par Sources :