In this paper we introduce the notion of good systems of parameters with respect to certain
increasing filtration of submodules of a Noetherian module in order to prove several …

The aim of this paper is to study a deep connection between local cohomology annihilators
and Macaulayfication and arithmetic Macaulayfication over a local ring. Local cohomology …

Let $(R,\frak m) $ be a homomorphic image of a Cohen-Macaulay local ring and $ M $ a
finitely generated $ R $-module. We use the splitting of local cohomology to shed a new light …

Cohomological degrees (or extended degrees) were introduced by Doering, Gunston and
Vasconcelos as measures for the complexity of structure of finitely generated modules over …

Let (R, 𝔪) be a Noetherian local ring and M be a finitely generated R-module. In this paper,
we give precise formulas computing all the partial Euler–Poincaré characteristics of Koszul …

We construct in a finitely generated module over a Cohen–Macaulay local ring several
subquotient modules. In terms of multiplicities of these subquotients, we give precise …

Let (R, m) be a Noetherian local ring and M be a finitely generated R-module. In this paper,
we construct almost p-standard systems of parameters (a strict subclass of d-sequences) of …

A finitely generated module M over a local ring is called a sequentially generalized Cohen–
Macaulay module if there is a filtration of submodules of M: M0⊂ M1⊂⋯⊂ Mt= M such that …

Let (R, m) be a Noetherian local ring and M a finitely generated R-module. Let A= R⋉ M be
the idealization of M over R and Q an ideal in A. Set q= ρ (Q), where ρ: R⋉ M→ R is the …

The purpose of this paper is to present a characterization of sequentially Cohen–Macaulay
modules in terms of their Hilbert coefficients with respect to distinguished parameter ideals …