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On generalized Dedekind domains

Part of: General commutative ring theory

Published online by Cambridge University Press:  26 February 2010

Muhammad Zafrullah
Muhammad Zafrullah
Affiliation:
c/o Department of Mathematics, University College London, Gower Street, London. WC1E 6BT
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Extract

Throughout this note the letters D and K denote a commutative integral domain with 1 and its field of fractions.

MSC classification

Secondary: 13A15: Ideals; multiplicative ideal theory
Type
Research Article
Information
Mathematika , Volume 33 , Issue 2 , December 1986 , pp. 285 - 295
Copyright
Copyright © University College London 1986

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References

1Anderson, D. D. and Anderson, D. F.. Generalized GCD-domains. Comment. Math. Univ. St. Pauli, 23 (1979), 213–221.Google Scholar
2Anderson, D. D., Anderson, D. F. and Johnson, E. W.. Some ideal theoretic conditions on a Noetherian ring. Houston J. Math., 7 (1981), 1–10.Google Scholar
3Anderson, D. D. and Matijevic, J.. Graded ω-rings. Can. J. Math., 31 (3) (1979), 449–457.CrossRefGoogle Scholar
4Gilmer, R.. Multiplicative Ideal Theory (Marcel Dekker, New York, 1972).Google Scholar
5Griffin, M.. Some results on υ-multiplication rings. Can. J. Math., 19 (1967), 710–722.CrossRefGoogle Scholar
6Griffin, M.. Rings of Krull type. J. Reine Angew. Math., 229, (1968), 1–27.Google Scholar
7Helmer, O.. Divisibility properties of integral functions. Duke Math. J., 6 (1940), 345–356.CrossRefGoogle Scholar
8Henriksen, M.. On the ideal structure of the ring of entire functions. Pacific J. Math., 2 (1952), 179–184.CrossRefGoogle Scholar
9Jaffard, P.. Les Systemes d”Ideaux (Dunod, Paris, 1960).Google Scholar
10Malik, S., Mott, J. and Zafrullah, M.. On t-invertibility (preprint).Google Scholar
11Querre, J.. Sur une propriete des anneaux de Krull. Bull Sc. Math. 2° serie 95 (1971), 341–354.Google Scholar
12Querre, J.. Ideaux divisoriels d'un anneaux de polynomes. J. Alg., 64 (1980), 270–284.CrossRefGoogle Scholar
13Ribenboim, P.. Anneaux normaux reels a caractere fini. Summa Brasil. Math., 3 (1956), 213–253.Google Scholar
14Schilling, O.. The Theory of Valuations, Math. Surveys No. IV (Amer. Math. Soc., 1950).CrossRefGoogle Scholar
15Zafrullah, M.. On finite conductor domains. Manuscripta Math., 24 (1978), 191–203.Google Scholar
16Zafrullah, M.. The υ-operation and intersections of quotient rings of integral domains. Comm. Algebra, 13 (8) (1985), 1699–1712.CrossRefGoogle Scholar
17Zafrullah, M.. On a property of pre-Schreier domains. To appear in Comm. Algebra.Google Scholar