We define a (perfectoid) mixed characteristic version of $ F $-signature and Hilbert-Kunz
multiplicity by utilizing the perfectoidization functor of Bhatt-Scholze and Faltings' normalized …

The aim of the paper is twofold. At first there is a characterization of those local domains
admitting a birational Macaulayfication. It turns out that a local domain A, quotient of a …

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 …

In this survey paper, we first present the main properties of sequentially Cohen–Macaulay
modules. Some basic examples are provided to help the reader with quickly getting …

Full article: Colength, multiplicity, and ideal closure operations Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …

INDEX OF REDUCIBILITY OF DISTINGUISHED PARAMETER IDEALS AND SEQUENTIALLY
COHEN-MACAULAY MODULES Page 1 PROCEEDINGS OF THE AMERICAN …

We prove that sequentially Cohen–Macaulay rings in positive characteristic, as well as
sequentially Cohen–Macaulay Stanley–Reisner rings in any characteristic, have trivial …

The aim of this paper is to introduce a new notion of sequences called dd-sequences and
show that this notion may be convenient for studying the polynomial property of partial Euler …

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 …

Let (R, 𝔪) be a Noetherian local ring and M a finitely generated R-module with dim M= d.
This paper is concerned with the following property for the top local cohomology module: In …