Relative AR-correspondence, co-t-structure and silting pair
Category Theory
2022-05-19 v1
Abstract
As a generalization of tilting pair, which was introduced by Miyashita in \cite{YM}, the notion of silting pair is introduced in this paper. The authors extends a characterization of tilting modules given by Bazzoni \cite[Theorem~3.11]{BS} to silting pairs, and proves that there is an one-to-one correspondence between equivalent classes of silting pairs and certain subcategories which satisfy some conditions. Furthermore, the authors also gives a bijection between equivalent class of silting pairs and bounded above co-t-structure.
Cite
@article{arxiv.2205.08872,
title = {Relative AR-correspondence, co-t-structure and silting pair},
author = {Peiyu Zhang and Dajun Liu and Jiaqun Wei},
journal= {arXiv preprint arXiv:2205.08872},
year = {2022}
}