Results 111 to 120 of about 443,027 (142)

On the Krull―Schmidt Theorem for Artinian Modules

Journal of Mathematical Sciences, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On \(\alpha\)-almost Artinian type modules

Summary: In this article we introduce and study the concepts of \(\alpha\)-almost Artinian type and \(\alpha\)- Krull type modules. Using these concepts we extend some of the basic results of \(\alpha\)-almost Artinian and \(\alpha\)-Krull modules to \(\alpha\)-almost Artinian type and \(\alpha\)-Krull type modules.
Davoudian, Maryam, Naseri, Nahid
openaire   +1 more source

Minimal Flat Resolutions of Artinian Modules

Algebra Colloquium, 2005
The purpose of this paper is to establish connection between the minimal flat resolutions of Artinian modules and the concept of cosequences in commutative algebra. The main result of this paper leads to a characterization of local Cohen–Macaulay rings in terms of vanishing property of the dual Bass numbers of certain Artinian modules.
openaire   +1 more source

On the Artinianness of Graded Local Cohomology Modules

Algebra Colloquium, 2010
Let R = ⨁n≥ 0 Rn be a homogeneous noetherian ring with local base ring [Formula: see text], and N a finitely generated graded R-module. Let [Formula: see text] be the i-th local cohomology module of N with respect to R+ := ⨁n > 0 Rn. Let t be the largest integer such that [Formula: see text] is not minimax.
openaire   +2 more sources

Artinianness of composed local cohomology modules

2016
Summary: Let \(R\) be a commutative Noetherian ring, and let \(\underline{a}, \underline{b}\) be two ideals of \(R\) such that \(R/(\underline{a}+\underline{b})\) is Artinian. Let \(M\) and \(N\) be two finitely generated \(R\)-modules. We prove that \(H_{\underline{b}}^j(H_{\underline{a}}^t(M,N))\) is Artinian for \(j=0,1\), where \(t=\mathrm{inf}\{i ...
openaire   +2 more sources

Artinian Modules

2022
openaire   +1 more source

An Extension of S-Artinian Rings and Modules to a Hereditary Torsion Theory Setting

Communications in Algebra, 2021
Pascual Jara
exaly  

Coprimary Decomposition of Artinian Modules

Journal of the London Mathematical Society, 1973
openaire   +1 more source

Automorphism-Invariant Semi-Artinian Modules

Journal of Algebra and Its Applications, 2017
Askar Akanovich Tuganbaev
exaly  

ARTINIAN MODULES AND HILBERT POLYNOMIALS

The Quarterly Journal of Mathematics, 1973
openaire   +1 more source