𝐿-dimension for modules over a local ring

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Commutative Algebra Pub Date : 2021-01-01 DOI:10.1090/conm/773/15534

Courtney R. Gibbons, David A. Jorgensen, J. Striuli

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引用次数: 0

Abstract

We introduce a new homological dimension for finitely generated modules over a commutative local ring R R , which is based on a complex derived from a free resolution L L of the residue field of R R , and called L L -dimension. We prove several properties of L L -dimension, give some applications, and compare L L -dimension to complete intersection dimension.

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𝐿-dimension用于本地环上的模块

在交换局部环R R上，我们引入了一个新的有限生成模的同调维数，该同调维数是基于R R的剩余域的自由分辨率L L派生的复维数，称为L L维数。证明了L - L维数的几个性质，给出了一些应用，并将L - L维数与完全交维数进行了比较。

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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.