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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Overrings of commutative rings. I. Noetherian overrings


Author: Edward D. Davis
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
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  • [1] Y. Akizuki, Einige Bemerkungen über primäre Integritätsbereiche mit Teilerkettensatz, Proc. Phys.-Math. Soc. Japan Ser. III 17 (1935), 327-336.
  • [2] I. S. Cohen, Commutative rings with restricted minimum condition, Duke Math. J. 17 (1950), 27-41. MR 0033276 (11:413g)
  • [3] E. D. Davis, Over-rings of commutative rings. II. Integrally closed overrings (to appear).
  • [4] W. Krull, Ein Satz über primäre Integritätsbereiche, Math. Ann. 103 (1930), 450-465. MR 1512631
  • [5] S. MacLane and O. F. G. Schilling, Infinite number fields with Noether ideal theories, Amer. J. Math. 61 (1939), 771-782. MR 0000019 (1:4b)
  • [6] M. Nagata, Note on integral closures of Noetherian domains, Mem. Coll. Sci. Univ. Kyoto Ser. A 28 (1954), 121-124. MR 0063355 (16:107g)
  • [7] -, On the derived normal rings of Noetherian integral domains, Mem. Coll. Sci. Univ. Kyoto Ser. A 29 (1955), 293-303. MR 0097388 (20:3857)

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DOI: https://doi.org/10.1090/S0002-9947-1962-0139629-8
Article copyright: © Copyright 1962 American Mathematical Society

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