Families of finite character and essential valuations
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- by Malcolm Griffin
- Trans. Amer. Math. Soc. 130 (1968), 75-85
- DOI: https://doi.org/10.1090/S0002-9947-1968-0218336-2
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References
- Malcolm Griffin, Some results on $v$-multiplication rings, Canadian J. Math. 19 (1967), 710–722. MR 215830, DOI 10.4153/CJM-1967-065-8
- Malcolm Griffin, Rings of Krull type, J. Reine Angew. Math. 229 (1968), 1–27. MR 220726, DOI 10.1515/crll.1968.229.1
- Wolfgang Krull, Über die Zerlegung der Hauptideale in allgemeinen Ringen, Math. Ann. 105 (1931), no. 1, 1–14 (German). MR 1512701, DOI 10.1007/BF01455805 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.
- P. Ribenboim, Anneaux normaux réels à caractère fini, Summa Brasil. Math. 3 (1956), 213–253 (French). MR 97391
- P. Ribenboim, Le théorème d’approximation pour les valuations de Krull, Math. Z. 68 (1957), 1–18 (French). MR 91944, DOI 10.1007/BF01160329
- Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0120249
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- 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