2021/04/08 by Septimu Crivei, Crivei, Septimu, Simona Maria Radu +1
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2104.03832
openalex publication_date 2021/04/08 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We introduce (dual) strongly relative CS-Rickart objects in abelian\ncategories, as common generalizations of (dual) strongly relative Rickart\nobjects and strongly extending (lifting) objects. We give general properties,\nand we study direct summands, (co)products of (dual) strongly relative\nCS-Rickart objects and classes all of whose objects are (dual) strongly\nself-CS-Rickart.\n