On shifted principles for attached primes of the Artinian cofinite top local cohomology modules

Let (R, m) be a Noetherian local ring, I be an ideal of R and M be a finitely generated R-module such that H-I(t)(M) is Artinian and I-cofinite, where t = cd(I, M). In this paper, we establish shifted principles under localization and completion for attached primes of the top local cohomology module H-I(t)(M).