Ascent and descent of Artinian module structures under flat base changes
Abstract
Let : R→ S be a flat local homomorphism between commutative Noetherian local rings. In this paper, the ascent and descent of Artinian module structures between R and S are investigated. For an Artinian R-module A, the structure of ARS is described. As an application, the Artinianess of certain local cohomology modules is clarified.
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