Ascent and descent of Artinian module structures under flat base changes.

Autor: Chau, Tran Do Minh, Nhan, Le Thanh
Předmět:
Zdroj: Communications in Algebra; 2024, Vol. 52 Issue 8, p3512-3520, 9p
Abstrakt: Let φ : 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 A ⊗ R S is described. As an application, the Artinianess of certain local cohomology modules is clarified. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index