scientific article; zbMATH DE number 7524288

zbMath1498.16036MaRDI QIDQ5074867

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Publication date: 10 May 2022

Full work available at URL: http://admjournal.luguniv.edu.ua/index.php/adm/article/view/1634

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zbMATH Keywords

nilpotencetorsion theoryprime modulesnilpotent idealsemiprime modulesGoldie modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ordered rings, algebras, modules (06F25) Localization and associative Noetherian rings (16P50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

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• The nilpotence of the \(\tau\)-closed prime radical in rings with \(\tau\)-Krull dimension
• On Semiprime Goldie Modules
• Prime Submodules and Local Gabriel Correspondence in σ[M]
• Semiprime Preradicals
• Prime and coprime modules
• M-INJECTIVE MODULES AND PRIMEM-IDEALS
• FBN Modules
• Modules with ascending chain condition on annihilators and Goldie modules
• Krull Dimension and Classical Krull Dimension of Modules
• The Nil Radical of a Ring with Krull Dimension
• Krull dimension
• PRIME AND IRREDUCIBLE PRERADICALS

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