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Coherent Overrings

Published online by Cambridge University Press:  20 November 2018

Ira J. Papick
Ira J. Papick*
Affiliation:
Department of Mathematics, University of Missouri, Columbia, Missouri65201
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 3 , 01 September 1979 , pp. 331 - 337
Copyright
Copyright © Canadian Mathematical Society 1979

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