Some properties of integral closure
HTML articles powered by AMS MathViewer
- by William J. Heinzer PDF
- Proc. Amer. Math. Soc. 18 (1967), 749-753 Request permission
References
- I. S. Cohen and A. Seidenberg, Prime ideals and integral dependence, Bull. Amer. Math. Soc. 52 (1946), 252–261. MR 15379, DOI 10.1090/S0002-9904-1946-08552-3
- H. S. Butts and R. C. Phillips, Almost multiplication rings, Canadian J. Math. 17 (1965), 267–277. MR 178007, DOI 10.4153/CJM-1965-026-9
- Edward D. Davis, Overrings of commutative rings. II. Integrally closed overrings, Trans. Amer. Math. Soc. 110 (1964), 196–212. MR 156868, DOI 10.1090/S0002-9947-1964-0156868-2
- Robert W. Gilmer Jr., Integral domains which are almost Dedekind, Proc. Amer. Math. Soc. 15 (1964), 813–818. MR 166212, DOI 10.1090/S0002-9939-1964-0166212-8
- Robert W. Gilmer Jr., Overrings of Prüfer domains, J. Algebra 4 (1966), 331–340. MR 202749, DOI 10.1016/0021-8693(66)90025-1
- Robert Gilmer and Jack Ohm, Integral domains with quotient overrings, Math. Ann. 153 (1964), 97–103. MR 159835, DOI 10.1007/BF01361178
- Wolfgang Krull, Beiträge zur Arithmetik kommutativer Integritätsbereiche, Math. Z. 42 (1937), no. 1, 745–766 (German). MR 1545707, DOI 10.1007/BF01160110
- Masayoshi Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0155856 E. Noether, Abstracter Aufbau der Idealtheorie in algebraischen Zuhl- und Functionenkörpern, Math. Ann. 96 (1926), 26-61.
- Robert L. Pendleton, A characterization of $Q$-domains, Bull. Amer. Math. Soc. 72 (1966), 499–500. MR 190164, DOI 10.1090/S0002-9904-1966-11514-8 H. Prüfer, Untersuchungen über die Teilbarkeitseigenschaften in Körpern, J. Reine Angew. Math. 168 (1932), 1-36.
- Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
- 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
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 749-753
- MSC: Primary 13.15
- DOI: https://doi.org/10.1090/S0002-9939-1967-0214580-3
- MathSciNet review: 0214580