Kruskal-Katona定理的推广

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-07-01 DOI:10.2478/auom-2020-0018

Luca Amata, M. Crupi

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引用次数: 4

摘要

抽象让K是一个字段,E有限维的外代数K向量空间,和F有限生成分级自由E-module均匀g1,。,gr这样度g1≤度g2≤···≤度gr。我们描述的希尔伯特功能分级E-modules类型的F / M M分级子模块的F F的存在的一个独特的词典子模块与希尔伯特函数一样起着至关重要的作用。

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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A generalization of Kruskal–Katona’s theorem

Abstract Let K be a field, E the exterior algebra of a finite dimensional K-vector space, and F a finitely generated graded free E-module with homogeneous basis g1, . . ., gr such that deg g1 ≤ deg g2 ≤ · · · ≤ deg gr. We characterize the Hilbert functions of graded E–modules of the type F/M, with M graded submodule of F. The existence of a unique lexicographic submodule of F with the same Hilbert function as M plays a crucial role.

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.