D4-objects in abelian categories: Transfer via functors

DOI10.1080/00927872.2021.1964516zbMath1485.18009OpenAlexW3193932671MaRDI QIDQ5072758

Berke Kaleboğaz, Derya Keskin Tütüncü

Publication date: 4 May 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1964516

zbMATH Keywords

abelian category\(D4\)-object

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10)

Related Items (1)

Pure-direct-objects in categories: transfer via functors

Cites Work

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• Idempotent monads and \(\star \)-functors
• Exponentiable morphisms, partial products and pullback complements
• Indecomposable decompositions of finitely presented pure-injective modules
• Adjoint functors and equivalences of subcategories
• Methods of graded rings.
• Rickart and dual Rickart objects in abelian categories: transfer via functors
• C4-Modules
• Locally finitely presented additive categories
• Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories
• Baer-Kaplansky classes in categories: transfer via functors
• D4-Modules
• Strongly Rickart objects in abelian categories
• Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes

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