SEMI-PRIME NOETHERIAN RINGS OF INJECTIVE DIMENSION ONE
Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 335-338

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DOI

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.
DOI : 10.1017/S0017089505002569
Mots-clés : 16P40
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
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     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/}
}
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