拉伸理想的减少数

IF 0.7 4区 数学 Q2 MATHEMATICS Journal of the Mathematical Society of Japan Pub Date : 2021-09-27 DOI:10.2969/jmsj/86498649
K. Ozeki
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引用次数: 1

摘要

理想伴生梯度环的同调性质是交换代数和代数几何中的一个重要问题。在Cohen-Macaulay局部环(a,m)中,当约化数达到几乎极小值时,研究了拉伸m-初等理想的关联梯度环的概Cohen-Macaulay性。作为应用,我们给出了具有小约化数的拉伸m-原初理想的关联梯度环的完整描述。
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The reduction number of stretched ideals
The homological property of the associated graded ring of an ideal is an important problem in commutative algebra and algebraic geometry. In this paper we explore the almost Cohen-Macaulayness of the associated graded ring of stretched m-primary ideals in the case where the reduction number attains almost minimal value in a Cohen-Macaulay local ring (A,m). As an application, we present complete descriptions of the associated graded ring of stretched m-primary ideals with small reduction number.
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
56
审稿时长
>12 weeks
期刊介绍: The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).
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