This paper shows that if [Formula: see text] is a homomorphic image of Cohen–Macaulay local ring, then text]-module sequentially generalized and only the difference between Hilbert coefficients arithmetic degrees for all distinguished parameter ideals are bounded.

In this paper, we consider a finite, torsion-free module E over Gorenstein local ring. We provide sufficient conditions for to be of linear type and the Rees algebra R ( ) Cohen-Macaulay. Our results are obtained by constructing generic Bourbaki ideal I exploiting properties residual intersections .

In this paper, we introduce and study the notion of linkage modules by reflexive homomorphisms. This unifies generalizes several known concepts enables us to theory over Cohen–Macaulay rings rather than more restrictive Gorenstein rings. It is shown that results for are still true in general case module We also colinkage establish an adjoint equivalence between linked colinked modules.