Cohen-Macaulay Loci of modules

2010/07/15 by Dibaei, Mohammad T., Jafari, Raheleh
#13C14 #13D25 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1007.2508

Abstract

The Cohen-Macaulay locus of any finite module over a noetherian local ring A is studied and it is shown that it is a Zariski-open subset of \Spec A in certain cases. In this connection, the rings whose formal fibres over certain prime ideals are Cohen-Macaulay are studied.

Related

• Open loci of graded modules
• Local Homology, Cohen-Macaulayness and Cohen-Macaulayfications
• Cousin complexes and applications
• Syzygies of Cohen-Macaulay modules over one dimensional Cohen-Macaulay local rings
• Maximal Cohen-Macaulay modules that are not locally free on the punctured spectrum