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arXiv · 2007.11059

CS-Rickart and dual CS-Rickart objects in abelian categories

Septimiu Crivei·Simona Maria Radu
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Abstract

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.

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Septimiu Crivei, Simona Maria Radu. 2020-07-21. CS-Rickart and dual CS-Rickart objects in abelian categories. https://arxiv.org/abs/2007.11059

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