Let $R$ be a ring and $T$ be a good Wakamatsu-tilting module with $S=\text{End}(T_{R})^{op}$. We prove that $T$ induces an equivalence between stable repetitive categories of $R$ and $S$ (i.e., stable module categories of repetitive algebras $\hat{R}$ and ${\hat{S}}$). This shows that good Wakamatsu-tilting modules seem to behave in Morita theory of stable repetitive categories as that tilting modules of finite projective dimension behave in Morita theory of derived categories.

中文翻译：

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重复对等​​和倾斜理论

让$R$成为一个戒指和$T$成为一个好的 Wakamatsu 倾斜模块$S=\text{结束}(T_{R})^{op}$. 我们证明$T$导致稳定的重复类别之间的等价性$R$和$新元（即重复代数的稳定模块类别$\帽子{R}$和${\hat{S}}$）。这表明，好的 Wakamatsu 倾斜模块似乎在 Morita 稳定重复范畴理论中表现，就像有限射影维度的倾斜模块在 Morita 派生范畴理论中表现一样。