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REPETITIVE EQUIVALENCES AND TILTING THEORY

  • JIAQUN WEI (a1) (a2)

Abstract

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.

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The author is supported by the Natural Science Foundation of China (Grant No. 11771212) and a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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REPETITIVE EQUIVALENCES AND TILTING THEORY

  • JIAQUN WEI (a1) (a2)

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