Cohen-Macaulay dimension of modules over Noetherian rings
The paper gives a criterion for an arbitrary Noetherian ring to be Cohen-Macualay. The authors prove that a Noetherian ring \(R\) is Cohen-Macaulay if and only if, for all finitely generated \(R\)-modules \(M\), the Cohen-Macaulay dimension is finite. This extends a similar criterion known for local rings.
scientific article; zbMATH DE number 5000995