CS-Rickart and dual CS-Rickart objects in abelian categories
Category Theory
2022-01-13 v2 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2007.11059,
title = {CS-Rickart and dual CS-Rickart objects in abelian categories},
author = {Septimiu Crivei and Simona Maria Radu},
journal= {arXiv preprint arXiv:2007.11059},
year = {2022}
}
Comments
18 pages