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arXiv · 1711.06105

Gorenstein homological properties of tensor rings

Xiao-Wu Chen·Ming Lu
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Abstract

Let $R$ be a two-sided noetherian ring and $M$ be a nilpotent $R$-bimodule, which is finitely generated on both sides. We study Gorenstein homological properties of the tensor ring $T_R(M)$. Under certain conditions, the ring $R$ is Gorenstein if and only if so is $T_R(M)$. We characterize Gorenstein projective $T_R(M)$-modules in terms of $R$-modules.

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Xiao-Wu Chen, Ming Lu. 2017-11-16. Gorenstein homological properties of tensor rings. https://arxiv.org/abs/1711.06105

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