Split objects with respect to a fully invariant short exact sequence in abelian categories
Category Theory
2018-03-15 v1 Rings and Algebras
Abstract
We introduce and investigate (dual) relative split objects with respect to a fully invariant short exact sequence in abelian categories. We compare them with (dual) relative Rickart objects, and we study their behaviour with respect to direct sums and classes all of whose objects are (dual) relative split. We also introduce and study (dual) strongly relative split objects. Applications are given to Grothendieck categories, module and comodule categories.
Cite
@article{arxiv.1803.05060,
title = {Split objects with respect to a fully invariant short exact sequence in abelian categories},
author = {Septimiu Crivei and Derya Keskin Tütüncü and Rachid Tribak},
journal= {arXiv preprint arXiv:1803.05060},
year = {2018}
}
Comments
26 pages