Cohen–Macaulay Property - Pure Mathematics - Algebra Dictionary Definition A property of a Noetherian local ring or a module meaning that its depth equals its Krull dimension (locally), i.e., it attains maximal possible depth relative to its dimension.
Cohen–Macaulay Property - Pure Mathematics - Algebra Dictionary Definition A property of a Noetherian local ring or a module meaning that its depth equals its Krull dimension (locally), i.e., it attains maximal possible depth relative to its dimension.