Semigroup graded Stillman's conjecture

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-03-05 DOI:10.1016/j.jalgebra.2025.02.016

John Cobb , Nathaniel Gallup , John Spoerl

引用次数: 0

Abstract

We resolve Stillman's conjecture for families of polynomial rings that are graded by any abelian group under mild conditions. Conversely, we show that these conditions are necessary for the existence of a Stillman bound. This has applications even for the well-known standard graded case.

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半群分级斯蒂尔曼猜想

在温和条件下，我们解决了任意阿贝尔群分级的多项式环族的Stillman猜想。反过来，我们证明了这些条件是Stillman界存在的必要条件。这甚至适用于众所周知的标准分级情况。

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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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.