Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories
From MaRDI portal
Publication:5112783
DOI10.1080/00927872.2020.1721732zbMath1451.18020OpenAlexW3005215824MaRDI QIDQ5112783
Rachid Tribak, Derya Keskin Tütüncü, Septimiu Crivei
Publication date: 8 June 2020
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2020.1721732
abelian categoryfully invariant short exact sequence(dual)(strongly) \(F\)-split object(dual)(strongly) Rickart object
Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10)
Related Items (7)
Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories ⋮ Split objects with respect to a fully invariant short exact sequence in abelian categories ⋮ D4-objects in abelian categories: Transfer via functors ⋮ Transfer of CS-Rickart and dual CS-Rickart properties via functors between Abelian categories ⋮ Pure-direct-objects in categories: transfer via functors ⋮ Unnamed Item ⋮ F-Baer objects with respect to a fully invariant short exact sequence in abelian categories
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Direct sums of Rickart modules.
- Relative regular objects in categories.
- Finite splitness and finite projectivity
- 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
- Strongly lifting modules and strongly dual Rickart modules
- Split objects with respect to a fully invariant short exact sequence in abelian categories
- Rickart and dual Rickart objects in abelian categories
- Banach algebras with an adjoint operation
- Modules in Which Inverse Images of Some Submodules are Direct Summands
- Dual Rickart Modules
- On Strongly Extending Modules
- On a Natural Duality Between Grothendieck Categories
- ON DUAL BAER MODULES
- Frobenius functors: applications
- Locally finitely presented additive categories
- Baer and Quasi-Baer Modules
- Strongly Rickart objects in abelian categories
- Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects
- Rickart Modules
- Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes
- Des catégories abéliennes
- A Foundation of Torsion Theory for Modules Over General Rings
This page was built for publication: Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories