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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 $\tau$-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 $\tau$-tilting modules. Moreover, we show that a finite dimensional algebra $\Lambda$ over an algebraically closed field is $CM$-$\tau$-tilting finite if $T_n(\Lambda)$ is $CM$-$\tau$-tilting finite which gives a partial answer to a question on $CM$-$\tau$-tilting finite algebras posed by Xie and Zhang.

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BibTeXRIS

Zhi-Wei Li, Xiaojin Zhang. 2021-09-24. A construction of Gorenstein projective tau-tilting modules. https://arxiv.org/abs/2109.11758

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