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- Title
CS-Rickart and dual CS-Rickart objects in abelian categories.
- Authors
Crivei, Septimiu; Radu, Simona Maria
- Abstract
We introduce relative CS-Rickart objects in abelian categories, as common generalizations of relative Rickart objects and extending objects. We study direct summands and (co)products of relative CS-Rickart objects as well as classes all of whose objects are self-CS-Rickart. Corresponding results for dual relative CS-Rickart objects may be automatically obtained by the duality principle. Applications are given to Grothendieck categories and, in particular, to module and comodule categories.
- Subjects
ABELIAN categories; GENERALIZATION
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2022, Vol 29, Issue 1, p97
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/j.bbms.210902