Balanced pairs and tilting modules in recollement
Category Theory
2022-05-20 v1
Abstract
In this paper, firstly, we mainly study the relationship of balanced pairs among three Abelian categories in a recollement. As an application of admissible balanced pairs, we introduce the notion of the relative tilting modules, and give a characterization of relative tilting modules, which similar to Bazzoni characterization of n-tilting modules [4]. Finally, we mainly consider the relationship of relative tilting modules in a recollement.
Cite
@article{arxiv.2205.09264,
title = {Balanced pairs and tilting modules in recollement},
author = {Peiyu Zhang and Dajun Liu and Jiaqun Wei},
journal= {arXiv preprint arXiv:2205.09264},
year = {2022}
}