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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Families of finite character and essential valuations


Author: Malcolm Griffin
Journal: Trans. Amer. Math. Soc. 130 (1968), 75-85
MSC: Primary 12.70; Secondary 13.00
DOI: https://doi.org/10.1090/S0002-9947-1968-0218336-2
MathSciNet review: 0218336
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References [Enhancements On Off] (What's this?)

  • [1] Malcolm Griffin, Some results on v-multiplication rings, Canad. J. Math. 97 (1967), 710-722. MR 0215830 (35:6665)
  • [2] -, Rings of Krull type, J. Reine Angew. Math. (to appear). MR 0220726 (36:3778)
  • [3] Wolfgang Krull, Über die Zerlengung der Hauptideale in allgemeinen Ringen, Math. Ann. 105 (1931), 1-14. MR 1512701
  • [4] Jack Ohm, Some counter examples related to the integral closure in $ D\left[\kern-0.15em\left[ X \right]\kern-0.15em\right]$, Trans. Amer. Math. Soc. 122 (1966), 321-333.
  • [5] Paulo Ribenboim, Anneaux normaux réels à caractère fini, Summa Brasil. Math. 3 (1956), 213-253. MR 0097391 (20:3860)
  • [6] -, Le théorème d'approximation pour les valuations de Krull, Math. Z. 68 (1957), 1-18. MR 0091944 (19:1035g)
  • [7] O. Zariski and P. Samuel, Commutative algebra, Vol. II, Van Nostrand, Princeton, N. J., 1960. MR 0120249 (22:11006)

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DOI: https://doi.org/10.1090/S0002-9947-1968-0218336-2
Article copyright: © Copyright 1968 American Mathematical Society

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