Silting objects and torsion pairs in comma categories
Rings and Algebras
2024-05-28 v2
Abstract
In this paper, we first give a characterization of silting objects in the comma category Assume that C1 and C2 are two subcategories of left R-modules, D1 and D2 be two subcategories of left S-modules. We mainly prove that (C1, C2) and (D1, D2) are torsion pairs if and only if the induced two pairs in the special comma category are torsion pairs under certain conditions.
Keywords
Cite
@article{arxiv.2207.04437,
title = {Silting objects and torsion pairs in comma categories},
author = {Peiyu Zhang and Xinyu Wang and Dajun Liu and Li Wang and Jiaqun Wei},
journal= {arXiv preprint arXiv:2207.04437},
year = {2024}
}
Comments
14 pages