Nan Gao, Chi-Heng Zhang
Published 2022-09-01Version 1
Invariants with respect to recollements of the stable category of Gorenstein projective A-modules over an algebra A and stable equivalences are investigated. Specifically, the Gorenstein rigidity dimension is introduced. It is shown that the Gorenstein rigidity dimension is invariant with respect to both Morita equivalences and the stable equivalences of Gorenstein projective modules. As a consequence, the Gorenstein rigidity dimension is shown the invariant of derived equivalences. The Gorenstein rigidity dimension is compared along the recollements of the stable category of Gorenstein projective modules. Moreover, the bounds of Gorenstein rigidity dimension is given for several classes of algebras, respectively.
Lifting of recollements and Gorenstein projective modules
A description of Gorenstein projective modules over the tensor products of algebras
The Gorenstein projective modules for the Nakayama algebras. I
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