论偶数周期模块自扩展的消失

arXiv - MATH - Commutative Algebra Pub Date : 2024-08-05 DOI:arxiv-2408.02820

Ela Celikbas, Olgur Celikbas, Hiroki Matsui, Ryo Takahashi

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引用次数: 0

摘要

在本文中，我们研究了交换诺特局部环上的刚性模块，为某些周期性刚性模块建立了新的自由度标准，并扩展了文献中的若干结果。同时，我们还证明了科恩-麦考莱环上的一般 Extvanishing 结果，并研究了在有理系数的还原格罗滕迪克群中具有零类的模块。

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 self extensions of even-periodic modules

In this paper we study rigid modules over commutative Noetherian local rings, establish new freeness criteria for certain periodic rigid modules, and extend several results from the literature. Along the way, we prove general Ext vanishing results over Cohen-Macaulay rings and investigate modules which have zero class in the reduced Grothendieck group with rational coefficients.

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arXiv - MATH - Commutative Algebra

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