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Zur Komplettierung ausgezeichneter Ringe. (German) Zbl 0444.13007


MSC:

13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13E05 Commutative Noetherian rings and modules
13J10 Complete rings, completion

Citations:

Zbl 0135.397
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References:

[1] André, M.: Localisation de la lissite formelle. manuscripta math. 13, 297–307 (1974) · Zbl 0287.18019
[2] Bourbaki, N.: Elements of mathematics. commutative algebra. Herrmann: Paris 1972 · Zbl 0279.13001
[3] Brodmann, M., Rotthaus, C.: Über den regulären Ort in ausgezeichneten Ringen (erscheint demnächst) · Zbl 0419.13008
[4] Grothendieck, A.: Elements de geometric algébrique. I.H.E.S. Publ. math. 20 (1964) · Zbl 0316.46001
[5] Grothendieck, A.: Elements de geometric algébrique. I.H.E.S. Publ. math. 24 (1965) · Zbl 0135.39701
[6] Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic 0.I and II. Ann. Math. 79, 109–236 (1964) · Zbl 0122.38603
[7] Matsumura, H.: Commutative algebra. Benjamin: New York 1970 · Zbl 0211.06501
[8] Matsumura, H.: Formal power series rings over polynomial rings. I. In: Number theory, algebraic geometry, and commutative algebra, in honour of Y. Akizuki, pp. 511–520. Tokyo: Kinokuniya 1973
[9] Marot, J.: Sur les anneaux universellement japonais. Bull. Soc. math. France 103, 103–111 (1975) · Zbl 0305.13007
[10] Nishimura, J.: Note on Krull domains. J. Math. Kyoto Univ. 15, 397–400 (1975) · Zbl 0308.13018
[11] Nishimura, J.: On ideal-adic completion of noetherian rings (erscheint demnächst)
[12] Nomura, M.: Formal power series rings over polynomial rings. II. In: Number theory, algebraic geometry, and commutative algebra, in honour of Y. Akizuki, pp. 521–528. Tokyo: Kinokuniya 1973
[13] Seydi, H.: Anneaux henséliens et conditions de chaines. Bull. Soc. math. France 98, 9-31 (1970) · Zbl 0189.03802
[14] Rotthaus, C.: Komplettierung semilokaler quasiausgezeichneter Ringe. Nagoya Math. J. 76, 173–180 (1979) · Zbl 0388.13014
[15] Valabrega, P.: A few theorems on completion of excellent rings. Nagoya Math. J. 61, 127–133 (1976) · Zbl 0319.13008
[16] Valabrega, P.: On the excellent property for power series rings over polynomial rings. J. Math. Kyoto Univ. 15, 387–395 (1975) · Zbl 0306.13011
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