论允许某些滤波的模块的（共）同调消失

Pub Date : 2024-07-31 DOI:10.1016/j.jpaa.2024.107787

Olgur Celikbas , Yongwei Yao

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引用次数: 0

摘要

我们研究了允许某些滤波的模块沿环同态的（共）同调消失，并推广了 Celikbas-Takahashi 的一个定理。我们的研究产生了新的刚性模块和检验模块，尤其是在素特性局部环上。此外，它还提供了模块张量乘中扭转研究的应用，包括胡内克-维根德的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the vanishing of (co)homology for modules admitting certain filtrations

We study the vanishing of (co)homology along ring homomorphisms for modules that admit certain filtrations and generalize a theorem of Celikbas-Takahashi. Our work produces new classes of rigid and test modules, particularly over local rings of prime characteristic. Additionally, it provides applications in the study of torsion in tensor products of modules, including a conjecture of Huneke-Wiegand.

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