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- W2044800931 abstract "For a Noetherian domain R (altitude R < ∞) with quotient field F , an overring I ( R ) of R is defined as the intersection of a certain family of valuation rings in F which contain R . I ( R ) is characterized in several ways, and it is shown that I ( R ) has many properties which are analogous to properties of the integral closure of R . Then it is shown that further knowledge of I ( R ) should help to settle some of the conjectures concerning maximal chains of prime ideals in a Noetherian domain." @default.
- W2044800931 created "2016-06-24" @default.
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- W2044800931 date "1978-05-01" @default.
- W2044800931 modified "2023-09-29" @default.
- W2044800931 title "Valuation rings and the (catenary) chain conjectures" @default.
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- W2044800931 doi "https://doi.org/10.1016/0021-8693(78)90264-8" @default.
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