|Table of Contents|

Invariants Along the Recollements and Equivalences of Gorenstein Stable Categories(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2024年02期
Page:
1-7
Research Field:
数学
Publishing date:

Info

Title:
Invariants Along the Recollements and Equivalences of Gorenstein Stable Categories
Author(s):
Gao Nan; Chen Haobiao
(Department of Mathematics,Shanghai University,Shanghai 200444,China)
Keywords:
Gorenstein projective modules; Gorenstein projecitve rigidity dimension; Gorenstein stable equivalences; recollements of triangulated categories
PACS:
O154.2
DOI:
10.3969/j.issn.1001-4616.2024.02.001
Abstract:
We introduce the Gorenstein projective rigidity dimension,and show that the Gorenstein projective rigidity dimension is invariant with respect to Morita equivalences,Gorenstein stable equivalences and derived equivalences,where the recollements of the stable categories of Gorenstein projective modules are the main tool. Furthermore,we characterize the Gorenstein projective rigidity dimension of some classes of algebras.

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Last Update: 2024-06-15