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arXiv · 2109.11758

A construction of Gorenstein projective tau-tilting modules

Zhi-Wei Li·Xiaojin Zhang
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Abstract

We give a construction of Gorenstein projective $τ$-tilting modules in terms of tensor products of modules. As a consequence, we give a class of non-self-injective algebras admitting non-trivial Gorenstein projective $τ$-tilting modules. Moreover, we show that a finite dimensional algebra $Λ$ over an algebraically closed field is $CM$-$τ$-tilting finite if $T_n(Λ)$ is $CM$-$τ$-tilting finite which gives a partial answer to a question on $CM$-$τ$-tilting finite algebras posed by Xie and Zhang.

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Zhi-Wei Li, Xiaojin Zhang. 2022-01-12. A construction of Gorenstein projective tau-tilting modules. https://arxiv.org/abs/2109.11758

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