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Limite inductive plate de P-anneaux. (French) Zbl 0431.13020


MSC:

13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13E05 Commutative Noetherian rings and modules
13D99 Homological methods in commutative ring theory
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
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References:

[1] Andre, M., Localisation de la lissité formelle, Manuscripta Math., 13, 297-307 (1974) · Zbl 0287.18019
[2] Bourbaki, N., Algèbre commutative (1962), Hermann: Hermann Paris, Chap. 3-4
[3] Bourbaki, N., Topologie générale, I (1971), Hermann: Hermann Paris, Chap. 1-4 · Zbl 0249.54001
[4] Greco, S., Two theorems on excellent rings, Nagoya Math. J., 60, 139-149 (1976) · Zbl 0308.13010
[5] Grothendieck, A., Eléments de géométrie algébrique (1971), Springer-Verlag: Springer-Verlag Berlin, Chap. I · Zbl 0203.23301
[6] Grothendieck, A., Eléments de géométrie algébrique, (St. Hautes Études Sci. Publ. Math. (1964-1965)), Paris · Zbl 0203.23301
[7] Hochster, M., Non openness of loci in noetherian rings, Duke Math. J., 40, 215-219 (1973) · Zbl 0257.13015
[8] Marot, J., Sur les anneaux universellement japonais, Bull. Soc. Math. France, 103, 103-111 (1975) · Zbl 0305.13007
[9] Matsumura, H., Commutative Algebra (1970), Benjamin: Benjamin New York · Zbl 0211.06501
[10] Rotthaus, C., Nicht ausgezeichnete, universell japanische ringe, Math. Z., 152, 107-125 (1977) · Zbl 0333.13005
[11] Samuel, P., Lectures on Unique Factorization Domains (1964), Tata Institute of Fundamental research: Tata Institute of Fundamental research Bombay · Zbl 0184.06601
[12] Seydi, H., Sur la théorie des anneaux de Weierstrass, I, Bull. Sci. Math., 95, 227-235 (1971) · Zbl 0216.05002
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