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arXiv · 1801.02343

Support $τ$-tilting modules and recollements

Xin Ma·Zongzhen Xie·Tiwei Zhao
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Abstract

Let $(\mbox{mod} Λ',\mbox{mod} Λ,\mbox{mod} Λ'')$ be a recollement of abelian categories for artin algebras $Λ'$, $Λ$ and $Λ''$. Under certain conditions, we present an explicit construction of gluing of (support) $τ$-tilting modules in $\mbox{mod} Λ$ with respect to (support) $τ$-tilting modules in $\mbox{mod} Λ'$ and $\mbox{mod} Λ''$ respectively; conversely, we study the construction of (support) $τ$-tilting modules in $\mbox{mod} Λ'$ and $\mbox{mod} Λ''$ obtained from (support) $τ$-tilting modules in $\mbox{mod} Λ$.

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Xin Ma, Zongzhen Xie, Tiwei Zhao. 2020-11-25. Support $τ$-tilting modules and recollements. https://arxiv.org/abs/1801.02343

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