CS-Rickart and dual CS-Rickart objects in abelian categories
摘要
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.
引用本文（GB/T 7714）
Septimiu Crivei, Simona Maria Radu. CS-Rickart and dual CS-Rickart objects in abelian categories[J]. Bulletin of the Belgian Mathematical Society - Simon Stevin, 2022.
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