nLab Cohen-Macaulay module

Definition

A Cohen-Macaulay module is a module over a commutative noetherian local ring which is finitely generated, non-zero, and such that its depth? is equal to its Krull dimension.

Related notions in $n$ Lab include Cohen-Macaulay ring

Wikipedia, Cohen-Macaulay ring
Winfried Bruns, Jürgen Herzog, Cohen-Macaulay Rings, Cambridge University Press (1993)
Rangar-Olaf Buchweitz, On maximal Cohen-Maculay modules and Tate cohomology, (1986) 155 pages pdf

category: algebra

Last revised on July 12, 2023 at 11:06:44. See the history of this page for a list of all contributions to it.