Geodesic
Coherent Overrings
Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 331-337

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

In the study of particular categories of integral domains, it has proved useful to know which overrings of the domains of interest lie within the category, and indeed whether all such overrings do. (Recall: an overring of R is a ring T with R ⊆ T ⊆ quotient field of R.) Two classes of domains classically studied in this setting are Prüfer domains and one-dimensional Noetherian domains. Since both of these classes are contained in the category of coherent domains, it is natural to investigate this category in this setting. 
Papick, Ira J. Coherent Overrings. Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 331-337. doi: 10.4153/CMB-1979-041-3
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