WEAK-MORITA-DUALITY AND EXCELLENT EXTENSIONS

DOI10.1081/AGB-120013319zbMath1014.16009OpenAlexW2088553584MaRDI QIDQ4792632

Xiaosheng Zhu

Publication date: 8 July 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120013319

zbMATH Keywords

torsion theoriesfinitely generated projective modulesfinitely cogenerated injective modulescoherent ringsexcellent extensionsfinitely cogenerated injective cogeneratorsweak-Morita-dualities

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Centralizing and normalizing extensions (16S20)

Cites Work

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• Finite normalizing extensions
• Characterizations of injective cogenerators and Morita duality via equivalences and dualities
• Excellent extensions
• On n-presented modules and almost excellent extensions^∗
• Projective functors for quantized enveloping algebras
• SF-Rings and excellent extensions
• Normalizing extensions and injective modules, essentially bounded normalizing extensions
• Generalized Matlis duality
• On quasi-duaiity modules

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