Geodesic
On the flat overrings of an integral domain
Glasgow mathematical journal, Tome 12 (1971) no. 2, pp. 162-165

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

The present paper deals with relations between flat overrings and quotient rings. Weare mainly concerned with Richman's results [10] on flat overrings and withthose of Davis [2], Gilmer [3], Gilmer and Heinzer [4], Gilmer and Ohm [5], and Mott [8], on rings with the QR propertyand with the property (#) defined in Section 1. Some of their results are generalized, and it is shown that certain theorems, which at first glance seem to have nothing in common, are in fact particular cases of a single more general theorem. 
Wajnryb, Bronislaw; Zaks, Abraham. On the flat overrings of an integral domain. Glasgow mathematical journal, Tome 12 (1971) no. 2, pp. 162-165. doi: 10.1017/S0017089500001269
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[1] 1.Cartan, H. and Eilenberg, S., Homological algebra (Princeton, New Jersey, 1956). Google Scholar

[2] 2.David, E. D., Overrings of commutative rings II, Trans. Amer. Math. Soc. 110 (1964), 196–212. Google Scholar

[3] 3.Gilmer, R., Overrings of Prüfer domains, J. Algebra 4 (1966), 331–340. Google Scholar | DOI

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

[5] 5.Gilmer, R. and Ohm, J., Integral domains with quotient overrings, Math. Ann. 153 (1964), 813–818. Google Scholar | DOI

[6] 6.Goldman, O., On a special class of Dedekind domains, Topology 3, Suppl. 1 (1964), 113–118. Google Scholar | DOI

[7] 7.McCoy, N. H., A note on finite unions of ideals and sub-groups, Proc. Amer. Math. Soc. 8 (1957). Google Scholar | DOI

[8] 8.Mott, J. L., Integral domains with quotient overrings, Math. Ann. 166 (1966), 229–232. Google Scholar | DOI

[9] 9.Pendleton, R., A characterization of Q-domains, Bull. Amer. Math. Soc. 72 (1966), 499–500. Google Scholar | DOI

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

[11] 11.Samuel, P., Lectures on unique factorization domains (Tata Institute, Bombay, 1964). Google Scholar

[12] 12.Zariski, O. and Samuel, P., Commutative algebra, vols. I and II (Princeton, 1958). Google Scholar

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