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A generalization of Kato's theorem on Morita duality

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Publication:1138067
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DOI10.1016/0022-4049(80)90054-7zbMath0431.16002OpenAlexW2066322875MaRDI QIDQ1138067

Koichiro Ohtake

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90054-7


zbMATH Keywords

colocalizationlocalizationcategory equivalenceMorita dualityhereditary torsion theoryGiraud subcategoryco-Giraud subcategory


Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Localization and associative Noetherian rings (16P50)


Related Items (1)

Endomorphism rings of modules and lattices of submodules



Cites Work

  • Unnamed Item
  • Colocalization and localization in Abelian categories
  • Density and equivalence
  • Duality between colocalization and localization
  • On equivalences between module subcategories
  • Modules with decompositions that complement direct summands
  • A Torsion Theory for Abelian Categories
  • A Generalization of Quasi-Frobenius Rings


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