×

Families of finite character and essential valuations. (English) Zbl 0158.29401


Full Text: DOI

References:

[1] Malcolm Griffin, Some results on \?-multiplication rings, Canad. J. Math. 19 (1967), 710 – 722. · Zbl 0148.26701 · doi:10.4153/CJM-1967-065-8
[2] Malcolm Griffin, Rings of Krull type, J. Reine Angew. Math. 229 (1968), 1 – 27. · Zbl 0173.03504 · doi:10.1515/crll.1968.229.1
[3] Wolfgang Krull, Über die Zerlegung der Hauptideale in allgemeinen Ringen, Math. Ann. 105 (1931), no. 1, 1 – 14 (German). · Zbl 0002.01001 · doi:10.1007/BF01455805
[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] P. Ribenboim, Anneaux normaux réels à caractère fini, Summa Brasil. Math. 3 (1956), 213 – 253 (French).
[6] P. Ribenboim, Le théorème d’approximation pour les valuations de Krull, Math. Z. 68 (1957), 1 – 18 (French). · Zbl 0102.03002 · doi:10.1007/BF01160329
[7] 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. · Zbl 0322.13001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.