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arXiv · 2209.03192

Lifting of recollements and Gorenstein projective modules

Nan Gao·Jing Ma
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Abstract

In the paper, we investigate the lifting of recollements with respect to Gorenstein-projective modules. Specifically, a homological ring epimorphism can induce a lifting of the recollement of the stable category of finitely generated Gorenstein-projective modules; the recollement of the bounded Gorenstein derived categories of some upper triangular matrix algebras can be lifted to the homotopy category of Gorenstein-projective modules. As a byproduct, we give a sufficient and necessary condition on the upper triangular matrix algebra T_{n}(A) to be of finite CM-type for an algebra A of finite CM-type.

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BibTeXRIS

Nan Gao, Jing Ma. 2022-09-01. Lifting of recollements and Gorenstein projective modules. https://arxiv.org/abs/2209.03192

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