Geodesic
Divisorial Prime Ideals in Prüfer Domains
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 324-328

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1984-049-9
Mots-clés : 13A17, 13F05, divisorial, ideal transform, Prüfer domain 
Fontana, Marco; Huckaba, James A.; Papick, Ira J. Divisorial Prime Ideals in Prüfer Domains. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 324-328. doi: 10.4153/CMB-1984-049-9
@article{10_4153_CMB_1984_049_9,
     author = {Fontana, Marco and Huckaba, James A. and Papick, Ira J.},
     title = {Divisorial {Prime} {Ideals} in {Pr\"ufer} {Domains}},
     journal = {Canadian mathematical bulletin},
     pages = {324--328},
     year = {1984},
     volume = {27},
     number = {3},
     doi = {10.4153/CMB-1984-049-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-049-9/}
}
TY  - JOUR
AU  - Fontana, Marco
AU  - Huckaba, James A.
AU  - Papick, Ira J.
TI  - Divisorial Prime Ideals in Prüfer Domains
JO  - Canadian mathematical bulletin
PY  - 1984
SP  - 324
EP  - 328
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-049-9/
DO  - 10.4153/CMB-1984-049-9
ID  - 10_4153_CMB_1984_049_9
ER  - 
%0 Journal Article
%A Fontana, Marco
%A Huckaba, James A.
%A Papick, Ira J.
%T Divisorial Prime Ideals in Prüfer Domains
%J Canadian mathematical bulletin
%D 1984
%P 324-328
%V 27
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-049-9/
%R 10.4153/CMB-1984-049-9
%F 10_4153_CMB_1984_049_9

[1] 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] 2. Ferrand, D. and Olivier, J., Homomorphismes minimaux d’anneaux, J. Alg. 16, (1970), 461–471. Google Scholar

[3] 3. Gilmer, R., Multiplicative Ideal Theory, Marcel Dekker, Inc. New York, 1972. Google Scholar

[4] 4. Gilmer, R. and Heinzer, W., Overrings of Prüfer domains II, J. Alg. 7, (1967), 281–302. Google Scholar

[5] 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] 6. Larsen, M. and McCarthy, P., Multiplicative Theory of Ideals, Academic Press, New York, 1971. Google Scholar

Cité par Sources :