On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locus

Doan Trung Cuong, Le Thanh Nhan, Nguyen Xuan Linh

Let (R,m) be a Noetherian local ring, I an ideal of R and M a finitely generated R-module. In this paper, we define and study E-depth and Ef-depth of M in I. We prove that E-depth…