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The kernels of completion maps and a relative form of Nakayama’s lemma. (English) Zbl 0528.13026


MSC:

13J10 Complete rings, completion
13C12 Torsion modules and ideals in commutative rings
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[1] Albu, T., Sur la dimension de Gabriel des modules, (Algebra-Bericht Nr. 21 (1974), Mahematisches Institut der Universität München) · Zbl 0318.16013
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[3] Albu, T.; Nǎstǎsescu, C., Modules sur les anneau de Krull, Rev. Roum. Math. Pures Appl., 21, 133-142 (1976) · Zbl 0358.13003
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[6] Bourbaki, N., Algèbre commutative, (Graduations, filtrations et topologies (1961), Hermann: Hermann Paris), Chap. 8 · Zbl 0141.03501
[7] Gabriel, P., Des catégories abéliennes, Bull. Soc. Math. France, 90, 325-448 (1962) · Zbl 0201.35602
[8] Nǎstǎsescu, C., La structure des modules par rapport à une topologie additive, Tôhuku Math. J., 26, 173-201 (1974) · Zbl 0283.16020
[9] Popescu, N., Abelian Categories with Applications to Rings and Modulus, (London Math. Soc. Monographs 3 (1973), Academic Press: Academic Press New York) · Zbl 0271.18006
[10] Raynaud, J., Localisations et spectres d’anneaux, (Thèse de Doctorat d’Etat ès Sciences Mathématiques (1976), Université Claude Bernard: Université Claude Bernard Lyon) · Zbl 0397.16030
[11] Stenström, B., Rings and Modules of Quotients, (Lecture Notes in Math. No. 237 (1971), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0194.06602
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