Guoliang Tang

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math.RA2025

(projectively coresolved) Gorenstein flat modules over tensor rings

Guoliang Tang, Jiaqun Wei

Let $T_{R} (M)$ be a tensor ring, where $R$ is a ring and $M$ is an $N$ -nilpotent $R$ -bimodule. Under certain conditions, we characterize projectively coresolved Gorenstein flat modul…

math.RA2025

Gorenstein homological modules over tensor rings

Zhenxing Di, Li Liang, Zhiqian Song +1

For a tensor ring $T_{R} (M)$ , under certain conditions, we characterize the Gorenstein projective modules over $T_{R} (M)$ , and prove that a $T_{R} (M)$ -module $(X, u)$ is Gorenstein projec…