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.
Citation
Septimiu Crivei. Simona Maria Radu. "CS-Rickart and dual CS-Rickart objects in abelian categories." Bull. Belg. Math. Soc. Simon Stevin 29 (1) 99 - 122, december 2022. https://doi.org/10.36045/j.bbms.210902
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