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- W2004024901 abstract "If S is an affine extension of R , intermediate rings need not in general be affine over R . In the case where each intermediate ring is affine over R , S is said to be strongly affine over R . This hypothesis implies that tr.deg. S / R ≤ 1, and in the case where tr.deg. S / R = 1, R is Noetherian so that ( R , S ) is a Noetherian pair. If R is a Noetherian universally Japanese ring, then S is strongly affine over R for each affine extension S of R such that ( R , S ) is a Noetherian pair. We consider the strongly affine property for Prüfer domains and show, for example, that an affine overring of a Prüfer domain D with Noetherian spectrum is strongly affine over D if and only if there are only a finite number of intermediate rings." @default.
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- W2004024901 date "1985-01-01" @default.
- W2004024901 modified "2023-09-28" @default.
- W2004024901 title "Finitely generated intermediate rings" @default.
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- W2004024901 doi "https://doi.org/10.1016/0022-4049(85)90101-x" @default.
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