Geodesic
Some Results on v-Multiplication Rings
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 710-722

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

A family Ω of valuations of the field K is said to be of finite character if only a finite number of valuations are non-zero at any non-zero element of K. If w ∈ Ω has ring and maximal ideal , then A = ∩w∈Ω is said to be defined by Ω and ∩ A is a prime ideal called the centre of w on A and denoted by Z(w). If = Az(w) , then w is said to be an essential valuation for A. A domain defined by a family of finite character in which every valuation is essential is called a ring of Krull type. 
Griffin, Malcolm. Some Results on v-Multiplication Rings. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 710-722. doi: 10.4153/CJM-1967-065-8
@article{10_4153_CJM_1967_065_8,
     author = {Griffin, Malcolm},
     title = {Some {Results} on {v-Multiplication} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {710--722},
     year = {1967},
     volume = {19},
     number = {1},
     doi = {10.4153/CJM-1967-065-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-065-8/}
}
TY  - JOUR
AU  - Griffin, Malcolm
TI  - Some Results on v-Multiplication Rings
JO  - Canadian journal of mathematics
PY  - 1967
SP  - 710
EP  - 722
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-065-8/
DO  - 10.4153/CJM-1967-065-8
ID  - 10_4153_CJM_1967_065_8
ER  - 
%0 Journal Article
%A Griffin, Malcolm
%T Some Results on v-Multiplication Rings
%J Canadian journal of mathematics
%D 1967
%P 710-722
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-065-8/
%R 10.4153/CJM-1967-065-8
%F 10_4153_CJM_1967_065_8

[1] 1. Conrad, Paul, Some structure theorems for lattice ordered groups, Trans. Amer. Math. Soc., 99 (1961), 212–240. Google Scholar

[2] 2. Griffin, Malcolm, Families of finite character and essential valuations (to appear in Trans. Amer. Math. Soc). Google Scholar

[3] 3. Griffin, Malcolm, Rings of Krull type (to appear in J. Reine Angew. Math.). Google Scholar

[4] 4. Jaffard, Paul, Les systèmes d'idéaux (Paris, 1960). Google Scholar

[5] 5. Jensen, Chr. U., On characterisations of Prufer rings, Math. Scand., 13 (1963), 90–98. Google Scholar

[6] 6. Krull, Wolfgang, Idealtheorie, Ergebnisse der Math., vol. 4 (Berlin, 1935). Google Scholar

[7] 7. Ribenboim, Paulo, Sur les groupes totalement ordonnés et l'arithmétique des anneaux de valuation., Summa Brasil. Math., 4 (1958), 1–64. Google Scholar

[8] 8. Zariski, Oscar and Samuel, Pierre, Commutative algebra, Vol. I (Princeton, 1958). Google Scholar

[9] 9. Zariski, Oscar and Samuel, Pierre, Commutative algebra, Vol. II (Princeton, 1960). Google Scholar

Cité par Sources :