SEMI-PRIME NOETHERIAN RINGS OF INJECTIVE DIMENSION ONE
Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 335-338
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Let $R$ be a semi-prime Noetherian ring of injective dimension 1. Let $P$ be a minimal prime ideal of $R$. In this paper it is shown that $R/P$ need not have injective dimension 1. Necessary and sufficient conditions are given for $R/P$ to have injective dimension 1.
CHATTERS, A. W. SEMI-PRIME NOETHERIAN RINGS OF INJECTIVE DIMENSION ONE. Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 335-338. doi: 10.1017/S0017089505002569
@article{10_1017_S0017089505002569,
author = {CHATTERS, A. W.},
title = {SEMI-PRIME {NOETHERIAN} {RINGS} {OF} {INJECTIVE} {DIMENSION} {ONE}},
journal = {Glasgow mathematical journal},
pages = {335--338},
year = {2005},
volume = {47},
number = {2},
doi = {10.1017/S0017089505002569},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002569/}
}
TY - JOUR AU - CHATTERS, A. W. TI - SEMI-PRIME NOETHERIAN RINGS OF INJECTIVE DIMENSION ONE JO - Glasgow mathematical journal PY - 2005 SP - 335 EP - 338 VL - 47 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002569/ DO - 10.1017/S0017089505002569 ID - 10_1017_S0017089505002569 ER -
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