Results 31 to 40 of about 769,852 (175)

Co-Cohen-Macaulay Modules and Local Cohomology

Journal of Mathematics, 2013
Let be a commutative Noetherian local ring and let be a finitely generated -module of dimension . Then the following statements hold: (a) if width for all with , then is co-Cohen-Macaulay of Noetherian dimension ; (b) if is an unmixed -module and ...
Hero Saremi, Amir Mafi
doaj   +1 more source

Layered resolutions of Cohen–Macaulay modules

Journal of the European Mathematical Society, 2020
Let S be a Gorenstein local ring and suppose that M is a finitely generated Cohen–Macaulay S
Eisenbud, David, Peeva, Irena
openaire   +1 more source

Some characterizations of relative sequentially Cohen–Macaulay and relative Cohen–Macaulay modules

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] be an [Formula: see text]-module over a Noetherian ring [Formula: see text] and [Formula: see text] an ideal of [Formula: see text] with [Formula: see text]. First, over an [Formula: see text]-relative Cohen–Macaulay local ring [Formula: see text], we provide a characterization of the [Formula: see text]-relative sequentially ...
openaire   +3 more sources

Local Cohomology Modules and Relative Cohen-Macaulayness

Discussiones Mathematicae - General Algebra and Applications, 2018
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
doaj   +1 more source

The essential ideal is a Cohen–Macaulay module [PDF]

Proceedings of the American Mathematical Society, 2005
Let G G be a finite p
openaire   +2 more sources

Maximal Cohen-Macaulay modules and the quasihomogeneity of isolated Cohen-Macaulay singularities [PDF]

Proceedings of the American Mathematical Society, 1991
We conjecture that a complete isolated Cohen-Macaulay singularity of dimension ≥ 2
openaire   +1 more source

Finding Maximal Cohen-Macaulay and Reflexive Modules

, 2021
In this work we study two classical objects in algebra - maximal Cohen-Macaulay and reflexive modules. We show the existence of a small Cohen-Macaulay module or algebra for a newclass of rings in mixed characteristic. In particular, we show the existence
Sridhar, Prashanth
core   +1 more source

Two Theorems about Maximal Cohen--Macaulay Modules [PDF]

, 2004
This paper contains two theorems concerning the theory of maximal Cohen-Macaulay modules. The first theorem proves that certain Ext groups between maximal Cohen-Macaulay modules M and N must have finite length, provided only finitely many isomorphism ...
Huneke, Craig, Leuschke, Graham J.
core   +1 more source

A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras

Mathematische Nachrichten, Volume 299, Issue 9, Page 2436-2451, September 2026.
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley   +1 more source

Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry

Discussiones Mathematicae - General Algebra and Applications, 2017
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj   +1 more source