Geodesic
Local Minimal Overrings
Canadian journal of mathematics, Tome 28 (1976) no. 4, pp. 788-792

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

Let R be a (commutative integral) domain having quotient field K. A domain S satisfying , is called an overring of R. We say R has a minimal overring T, in case and there are no domains properly between R and T. The purpose of this paper is the study of certain classes of coherent domains having local minimal overrings; that is, having minimal overrings with unique maximal ideals. 
Papick, Ira J. Local Minimal Overrings. Canadian journal of mathematics, Tome 28 (1976) no. 4, pp. 788-792. doi: 10.4153/CJM-1976-075-3
@article{10_4153_CJM_1976_075_3,
     author = {Papick, Ira J.},
     title = {Local {Minimal} {Overrings}},
     journal = {Canadian journal of mathematics},
     pages = {788--792},
     year = {1976},
     volume = {28},
     number = {4},
     doi = {10.4153/CJM-1976-075-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-075-3/}
}
TY  - JOUR
AU  - Papick, Ira J.
TI  - Local Minimal Overrings
JO  - Canadian journal of mathematics
PY  - 1976
SP  - 788
EP  - 792
VL  - 28
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-075-3/
DO  - 10.4153/CJM-1976-075-3
ID  - 10_4153_CJM_1976_075_3
ER  - 
%0 Journal Article
%A Papick, Ira J.
%T Local Minimal Overrings
%J Canadian journal of mathematics
%D 1976
%P 788-792
%V 28
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-075-3/
%R 10.4153/CJM-1976-075-3
%F 10_4153_CJM_1976_075_3

[1] 1. Bourbaki, N., Commutative algebra (Addison-Wesley, Reading, Massachusetts, 1972). Google Scholar

[2] 2. Dobbs, D. E. and Papick, I. J., When is D + M coherent!, to appear, Proc. Amer. Math. Soc. Google Scholar

[3] 3. Eerrand, D. et Olivier, J. P., Homomorphismes minimaux d'amieaux, J. of Algebra 10 (1970), 461–471. Google Scholar

[4] 4. Gilmer, R. and \Y. Heinzer, J., Intersections of quotient rings of an integral domain, J. Math. Kyoto University 7-2 (1967), 133–100. Google Scholar

[5] 5. Gilmer, R., Multiplicative ideal theory, Queen's Papers in Pure and Appl. Math., No. 12, Queen's University, Kingston, Ontario, 1968. Google Scholar

[6] 6. Greenberg, B., Global dimension of Cartesian squares, J. of Algebra 32 (1974), 31–43. Google Scholar

[7] 7. Kaplansky, I., Commutative rings (Allyn and Bacon, Boston, Massachusetts, 1970). Google Scholar

[8] 8. Matsumura, H., Commutative algebra (\V. A. Benjamin, New York, 1970). Google Scholar

[9] 9. Papick, I . J ., Topologically defined classes of going-down domains, to appear, Trans. Amer. Math. Soc. Google Scholar

[10] 10. Richman, E., Generalized quotient rings, Proc. Amer. Math. Soc. 16 (1965), 794–799. Google Scholar

[11] 11. Vasconcelos, V. V., Divisor theory in module categories, Mathematics Studies No. 14 (North- Holland, Amsterdam, 1974). Google Scholar

Cité par Sources :