对角张量代数和天真提升

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-09-27 DOI:10.1016/j.jpaa.2024.107808

Saeed Nasseh , Maiko Ono , Yuji Yoshino

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引用次数: 0

摘要

微分级数（DG）模块沿某些 DG 代数扩展的天真提升概念是作者为了研究同调交换代数中涉及 Ext 自消失的问题而提出的。我们的主要结果提供了 DG 模块在某些 Ext 消失条件下的天真提升性的几个特征。作为应用，我们肯定地回答了作者提出的关于天真可提升性的一个具体特征的问题。

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Diagonal tensor algebra and naïve liftings

The notion of naïve lifting of differential graded (DG) modules along certain DG algebra extensions was introduced by the authors for the purpose of studying problems in homological commutative algebra that involve self-vanishing of Ext. Our goal in this paper is to deeply study naïve lifting property using the diagonal tensor algebra. Our main result provides several characterizations of naïve liftability of DG modules under certain Ext vanishing conditions. As an application, we affirmatively answer a question posed by the authors regarding a specific characterization of naïve liftability.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.