Gorenstein投影$\tau$-倾斜模的一个构造

Pub Date : 2021-09-24 DOI:10.4064/cm8682-1-2022

Zhi-wei Li, Xiaojin Zhang

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引用次数: 0

摘要

我们用模的张量积给出了Gorenstein投影τ-倾斜模的一个构造。因此，我们给出了一类允许非平凡Gorenstein投影τ-倾斜模的非自内射代数。此外，我们证明了代数闭域上的有限维代数∧是CM-τ-倾斜有限的，如果Tn（∧）是CM-τ-倾转有限的，这给出了谢和张提出的关于CM-τ倾斜有限代数的一个问题的部分答案。

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A construction of Gorenstein projective $\tau $-tilting modules

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 Tn(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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