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Divisorial Prime Ideals in Prüfer Domains

Published online by Cambridge University Press:  20 November 2018

Marco Fontana ,
James A. Huckaba  and
Ira J. Papick
Marco Fontana
Affiliation:
Istituto Matematico, Università di Roma, 00185, Roma(I)
James A. Huckaba
Affiliation:
Istituto Matematico, Università di Roma, 00185, Roma(I)
Ira J. Papick
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211
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Abstract

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Given a Prüfer domain R and a prime ideal P in R, we study some conditions which force P to be a divisorial ideal of R. This paper extends some recent work of Huckaba and Papick.

Keywords

13A1713F05divisorialideal transformPrüfer domain
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 3 , 01 September 1984 , pp. 324 - 328
Copyright
Copyright © Canadian Mathematical Society 1984

References

1. Arnold, J. T., On the ideal theory of the Kronecker function ring and the domain D(x), Can. J. Math., 21 (1969), 558–563.Google Scholar
2. Ferrand, D. and Olivier, J., Homomorphismes minimaux d’anneaux, J. Alg. 16, (1970), 461–471.Google Scholar
3. Gilmer, R., Multiplicative Ideal Theory, Marcel Dekker, Inc. New York, 1972.Google Scholar
4. Gilmer, R. and Heinzer, W., Overrings of Prüfer domains II, J. Alg. 7, (1967), 281–302.Google Scholar
5. Huckaba, J. A. and Papick, I. J., When the dual of an ideal is a ring, Manuscripta Math. 37, (1982), 67–85.Google Scholar
6. Larsen, M. and McCarthy, P., Multiplicative Theory of Ideals, Academic Press, New York, 1971.Google Scholar