When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module
Rings and Algebras
2019-05-17 v2
Abstract
In this paper, we study when the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module. Applications go in three directions. The first is to characterize when the little finitistic dimension is finite. The second is to obtain equivalent formulations for a Wakamatsu tilting module to be a tilting module. The third is to give some new characterizations of Gorenstein rings.
Keywords
Cite
@article{arxiv.1812.03498,
title = {When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module},
author = {Jian Wang and Yunxia Li and Jiangsheng Hu},
journal= {arXiv preprint arXiv:1812.03498},
year = {2019}
}