Abstract
Let (R,m) be a Noetherian local ring which is a quotient of a Gorenstein local ring. Let M be a finitely generated R-module and KM the canonical module of M. Denote by nCM(M) the non Cohen–Macaulay locus of M. In this paper, the relationship between the two loci nCM(KM) and nCM(M) is given. The structure of M is clarified in case where dimnCM(KM)≤0 (i.e. KM is generalized Cohen–Macaulay).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
