A remark on the distributive law for an ideal in a commutative ring
Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 193-198
Voir la notice de l'article provenant de la source Cambridge University Press
Let R be a commutative ring, with an identity element. It is the purpose of this note to establish conditions for an arbitrary but fixed ideal a of R to satisfy the distributive lawfor all ideals b and c of R. In particular, in the Noetherian case, this will be related to the decomposition of a into prime ideals. We start withProposition 1. For a fixed ideal a in a commutative ring R with an identity element, the following conditions are equivalent.
Jensen, C. U. A remark on the distributive law for an ideal in a commutative ring. Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 193-198. doi: 10.1017/S2040618500035425
@article{10_1017_S2040618500035425,
author = {Jensen, C. U.},
title = {A remark on the distributive law for an ideal in a commutative ring},
journal = {Glasgow mathematical journal},
pages = {193--198},
year = {1966},
volume = {7},
number = {4},
doi = {10.1017/S2040618500035425},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035425/}
}
TY - JOUR AU - Jensen, C. U. TI - A remark on the distributive law for an ideal in a commutative ring JO - Glasgow mathematical journal PY - 1966 SP - 193 EP - 198 VL - 7 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035425/ DO - 10.1017/S2040618500035425 ID - 10_1017_S2040618500035425 ER -
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