Overrings of commutative rings. I. Noetherian overrings
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- by Edward D. Davis PDF
- Trans. Amer. Math. Soc. 104 (1962), 52-61 Request permission
References
-
Y. Akizuki, Einige Bemerkungen über primäre Integritätsbereiche mit Teilerkettensatz, Proc. Phys.-Math. Soc. Japan Ser. III 17 (1935), 327-336.
- I. S. Cohen, Commutative rings with restricted minimum condition, Duke Math. J. 17 (1950), 27–42. MR 33276, DOI 10.1215/S0012-7094-50-01704-2 E. D. Davis, Over-rings of commutative rings. II. Integrally closed overrings (to appear).
- Wolfgang Krull, Ein Satz über primäre Integritätsbereiche, Math. Ann. 103 (1930), no. 1, 450–465 (German). MR 1512631, DOI 10.1007/BF01455704
- Saunders MacLane and O. F. G. Schilling, Infinite number fields with Noether ideal theories, Amer. J. Math. 61 (1939), 771–782. MR 19, DOI 10.2307/2371335
- Masayoshi Nagata, Note on integral closures of Noetherian domains, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 28 (1954), 121–124. MR 63355, DOI 10.1215/kjm/1250777425
- Masayoshi Nagata, On the derived normal rings of Noetherian integral domains, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 29 (1955), 293–303. MR 97388, DOI 10.1215/kjm/1250777189
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 104 (1962), 52-61
- MSC: Primary 13.80; Secondary 13.25
- DOI: https://doi.org/10.1090/S0002-9947-1962-0139629-8
- MathSciNet review: 0139629