Prime Submodules and Local Gabriel Correspondence in σ[M]

DOI10.1080/00927872.2010.529095zbMath1245.16021OpenAlexW2071284120MaRDI QIDQ2881058

José Ríos Montes, Jaime Castro Pérez

Publication date: 3 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.529095

zbMATH Keywords

torsion theoriesprime submodulesprogeneratorspreradicalsGabriel correspondence

Mathematics Subject Classification ID

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

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Cites Work

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• Decisive dimension and other related torsion theoretic dimensions.
• Torsion theoretic dimensions and relative Gabriel correspondence.
• On fully left bounded left Noetherian rings
• BASIC PRERADICALS AND MAIN INJECTIVE MODULES
• PRIME AND IRREDUCIBLE PRERADICALS
• On the Atomic Dimension in Module Categories
• Bijective relative Gabriel correspondence over rings with torsion theoretic Krull dimension

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