Differential Criteria for Flatness

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 May 1980Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 79, page 17 (issn: 0002-9939,

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Authors: Glaz, Sarah;

doi: 10.2307/2042379 , 10.1090/s0002-9939-1980-0560576-8

Differential Criteria for Flatness

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Abstract

We introduce differential algebra methods to the study of flatness over Noetherian domains. The results concern the specific cases of ideals and attempt to use the underlying divisibility properties of the ring. They concern mostly regular (geometric) rings and one-dimensional rings.

Keywords

Injective and flat modules and ideals in commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Morphisms of commutative rings, Regular local rings, Modules of differentials

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