2020/07/21 by Septimiu Crivei, Crivei, Septimiu, Simona Maria Radu +1
Mathematics · Biochemistry, Genetics and Molecular Biology · #Rings, Modules, and Algebras #Protein Degradation and Inhibitors
paper · pdf · doi:10.48550/arxiv.2007.11059
We introduce (dual) relative CS-Rickart objects in abelian categories, as common generalizations of (dual) relative Rickart objects and extending (lifting) objects. We study direct summands and (co)products of (dual) relative CS-Rickart objects as well as classes all of whose objects are (dual) self-CS-Rickart. Applications are given to Grothendieck categories and, in particular, to module and comodule categories.