Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories

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

zbMATH Keywords

abelian categoryfully invariant short exact sequence(dual)(strongly) \(F\)-split object(dual)(strongly) Rickart object

Mathematics Subject Classification ID

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

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