Baer-Kaplansky classes in categories: transfer via functors

DOI10.1080/00927872.2020.1729785zbMath1451.18019OpenAlexW3007061996MaRDI QIDQ5119310

Septimiu Crivei, Rachid Tribak, Derya Keskin Tütüncü

Publication date: 3 September 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1729785

zbMATH Keywords

faithful functoradjoint functorscomodulepreadditive categoryfull functor(graded) moduleBaer-Kaplansky class

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Graded rings and modules (associative rings and algebras) (16W50) Special properties of functors (faithful, full, etc.) (18A22) Preadditive, additive categories (18E05) Coalgebras and comodules; corings (16T15)

Related Items (5)

D4-objects in abelian categories: Transfer via functors ⋮ Transfer of CS-Rickart and dual CS-Rickart properties via functors between Abelian categories ⋮ Baer-Kaplansky classes in Grothendieck categories and applications ⋮ Pure-direct-objects in categories: transfer via functors ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponentiable morphisms, partial products and pullback complements
• Separable functors applied to graded rings
• Generalizing the Baer-Kaplansky theorem
• Indecomposable decompositions of finitely presented pure-injective modules
• Adjoint functors and equivalences of subcategories
• A characterization of FGC rings.
• Methods of graded rings.
• Maschke functors, semisimple functors and separable functors of the second kind: applications
• Properties of endomorphism rings of Abelian groups. II.
• Naturally full functors in nature.
• Note on extensions of Abelian groups by primary groups
• A Taxonomy of Static Modules with Examples
• Definable additive categories: purity and model theory
• On a Natural Duality Between Grothendieck Categories
• Category-Isomorphisms and Endomorphism Rings of Modules
• On Baer–Kaplansky Classes of Modules
• When is the category of flat modules abelian?
• Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes

This page was built for publication: Baer-Kaplansky classes in categories: transfer via functors