nLab Cohen-Macaulay module

Definition

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

References

  • Wikipedia, Cohen-Macaulay ring
  • Cohen-Macaulay Rings, Winfried Bruns, J├╝rgen Herzog, Cambridge University Press (1993)

Cohen-Macaulay ring

Created on August 5, 2022 at 21:22:31. See the history of this page for a list of all contributions to it.