EQUIVALENCE OF THE KRULL-MÜLLER-JAFFARD THEOREM AND RIBENBOIM'S APPROXIMATION THEOREM
نویسندگان
چکیده
منابع مشابه
The Krull Intersection Theorem
Let R be a commutative ring, / an ideal in R, and A an i?-module. We always have 0 £= 0 £ I(\~=1 I A £ f|ϊ=i JM. where S is the multiplicatively closed set {1 — i\ie 1} and 0 = 0s Π A = {α G A13S 6 S 3 sα = 0}. It is of interest to know when some containment can be replaced by equality. The Krull intersection theorem states that for R Noetherian and A finitely generated I Π*=i I A = Π~=i IA. Si...
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ژورنال
عنوان ژورنال: Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics
سال: 1963
ISSN: 1883-2172,0373-6385
DOI: 10.2206/kyushumfs.17.145