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arXiv · 1812.03498

When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module

Jian Wang·Yunxia Li·Jiangsheng Hu
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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.

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Jian Wang, Yunxia Li, Jiangsheng Hu. 2018-12-09. When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module. https://arxiv.org/abs/1812.03498

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