Primary ideals and valuation ideals
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- by Robert Gilmer and Jack Ohm
- Trans. Amer. Math. Soc. 117 (1965), 237-250
- DOI: https://doi.org/10.1090/S0002-9947-1965-0169871-4
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References
- 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., The cancellation law for ideals in a commutative ring, Canadian J. Math. 17 (1965), 281–287. MR 173685, DOI 10.4153/CJM-1965-028-3
- 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. 41 (1936), no. 1, 545–577 (German). MR 1545640, DOI 10.1007/BF01180441 —, Idealtheorie, Chelsea, New York, 1948.
- 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
- 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 —, Commutative algebra, Vol. II, Van Nostrand, Princeton, N. J., 1961.
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 117 (1965), 237-250
- MSC: Primary 13.20; Secondary 16.00
- DOI: https://doi.org/10.1090/S0002-9947-1965-0169871-4
- MathSciNet review: 0169871