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arXiv · 2510.21454

Construction of Gorenstein projective modules over tensor rings

Guoqiang Zhao·Juxiang Sun
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Abstract

For a tensor ring $T_R(M)$, we obtain sufficient and necessary conditions to describe all complete projective resolutions and all Gorenstein projective modules. As a consequence, we provide a method for constructing Gorenstein projective modules over $T_R(M)$ from the ones of $R$. Some applications to trivial ring extensions, Morita context rings and triangular matrix rings are given.

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Guoqiang Zhao, Juxiang Sun. 2025-10-24. Construction of Gorenstein projective modules over tensor rings. https://arxiv.org/abs/2510.21454

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