The growth recurrence and Gelfand-Kirillov base of the ordinary cusp

IF 0.8 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society Pub Date : 2024-05-11 DOI:10.1090/proc/16913

Alan Dills, Florian Enescu

引用次数: 0

Abstract

We introduce the Gelfand-Kirillov base for a numerical semigroup ring over the prime field of characteristic p p , where p p is prime, and show its existence for the semigroup ring of the ordinary cusp by establishing a growth recurrence with respect to Frobenius.

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普通顶点的增长递推和格尔芬-基里洛夫基

我们介绍了特征为 p p 的素域上的数值半群环的格尔芬-基里洛夫基，其中 p p 是素数，并通过建立关于弗罗贝纽斯的增长递推关系，证明了普通尖顶半群环的格尔芬-基里洛夫基的存在性。

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

Proceedings of the American Mathematical Society 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

207

审稿时长

2-4 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to shorter research articles (not to exceed 15 printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.