论跟踪模块的非刚性

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Commutative Algebra Pub Date : 2022-06-01 DOI:10.1216/jca.2022.14.277

H. Lindo

引用次数: 1

摘要

我们建立了诺瑟环上模的迹模与刚度之间的联系。我们确定了必须具有自扩展的模类，并利用迹理想理论验证了Artinian Gorenstein环上理想合性的Auslander-Reiten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 nonrigidity of trace modules

We establish a link between trace modules and rigidity in modules over Noetherian rings. We identify classes of modules which must have self-extensions and use the theory of trace ideals to verify the Auslander-Reiten conjecture for syzygies of ideals over Artinian Gorenstein rings.

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来源期刊

Journal of Commutative Algebra MATHEMATICS-

CiteScore

0.80

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Commutative Algebra publishes significant results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, semigroups and monoids. The journal also publishes substantial expository/survey papers as well as conference proceedings. Any person interested in editing such a proceeding should contact one of the managing editors.