Abstract
Let (R, 𝔪) be a Noetherian local ring and M a finitely generated R-module. In this paper, we improve and extend some known relations among the non-Cohen–Macaulay locus nCM(M), the polynomial type p(M) and the annihilators of local cohomology modules . A characterization for the base ring R being universally catenary with all Cohen–Macaulay formal fibers is given. The nongeneralized Cohen–Macaulay locus nGCM(M) of M is described.
Notes
Communicated by G. Leugchke.