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math.AC2025
Construction of Gorenstein projective modules over tensor rings
Guoqiang Zhao, Juxiang Sun
For a tensor ring , we obtain sufficient and necessary conditions to describe all complete projective resolutions and all Gorenstein projective modules. As a consequence, w…
math.AC2015
Gorenstein (semi)hereditary rings with respect to a semidualizing module
Guoqiang Zhao, Juxiang Sun
Let be a semidualizing module. We first investigate the properties of finitely generated -projective modules. Then, relative to , we introduce and study the rings of Go…