Modules with ascending chain condition on annihilators and Goldie modules

DOI10.1080/00927872.2016.1233200zbMath1379.16013arXiv1601.03438OpenAlexW2963791012MaRDI QIDQ5274834

Mauricio Gabriel Medina-Bárcenas, José Ríos Montes, Jaime Castro Pérez

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03438

zbMATH Keywords

indecomposable modulestorsion theoryprime modulessemiprime modulesGoldie modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (7)

On the structure of Goldie modules ⋮ On strongly harmonic and Gelfand modules ⋮ A GENERALIZATION OF MULTIPLICATION MODULES ⋮ Unnamed Item ⋮ Boyle’s conjecture and perfect localizations ⋮ Unnamed Item ⋮ Johns modules and quasi-Johns modules

Cites Work

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• Prime Submodules and Local Gabriel Correspondence in σ[M]
• Semiprime Preradicals
• MTame Modules And Local Gabriel Correspondence
• BASIC PRERADICALS AND MAIN INJECTIVE MODULES
• M-INJECTIVE MODULES AND PRIMEM-IDEALS
• Krull Dimension and Classical Krull Dimension of Modules
• On 𝒦-Nonsingular Modules and Applications
• PRIME AND IRREDUCIBLE PRERADICALS

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