Rickart and dual Rickart objects in abelian categories: transfer via functors

DOI10.1007/s10485-017-9509-8zbMath1408.18020arXiv1709.05872OpenAlexW2755680757MaRDI QIDQ1656717

Gabriela Olteanu, Septimiu Crivei

Publication date: 10 August 2018

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05872

zbMATH Keywords

abelian categoryGrothendieck categoryadjoint functorscomoduleendomorphism ring(dual) Baer object(dual) Rickart objectregular object(graded) module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10) Coalgebras and comodules; corings (16T15)

Related Items

Purely Rickart and dual purely Rickart objects in Grothendieck categories ⋮ 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 ⋮ CS-Rickart and dual CS-Rickart objects in abelian categories ⋮ Pure-direct-objects in categories: transfer via functors ⋮ Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories ⋮ Strongly Rickart objects in abelian categories ⋮ Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects ⋮ Regular morphisms in abelian categories ⋮ F-Baer objects with respect to a fully invariant short exact sequence in abelian categories ⋮ π-Rickart and dual π-Rickart objects in abelian categories

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