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arXiv · 2506.23243

Gorenstein categories and separable equivalences

Guoqiang Zhao·Juxiang Sun
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Abstract

Let $\mathscr{C}$ be an additive subcategory of left $\Lambda$-modules, we establish relations of the orthogonal classes of $\mathscr{C}$ and (co)res $\widetilde{\mathscr{C}}$ under separable equivalences. As applications, we obtain that the (one-sided) Gorenstein category and Wakamatsu tilting module are preserved under separable equivalences. Furthermore, we discuss when $G_{C}$-projective (injective) modules and Auslander (Bass) class with respect to $C$ are invariant under separable equivalences.

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Guoqiang Zhao, Juxiang Sun. 2025-06-29. Gorenstein categories and separable equivalences. https://arxiv.org/abs/2506.23243

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