ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2021-02-12 DOI:10.24330/ieja.969656

Luca Amata, M. Crupi

引用次数: 3

Abstract

Let $K$ be a field and $S = K[x_1,\dots,x_n]$ be a polynomial ring over $K$. We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideals. More precisely, we give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of such a class of squarefree monomial ideals.

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关于方折射单理想的极值BETTI数

设$K$是一个域，$S=K[x_1，\dots，x_n]$是$K$上的多项式环。我们讨论了一类平方自由强稳定理想的极值Betti数的性质。更准确地说，我们给出了这类方折射单项理想的可能极值Betti数（值和位置）的数值表征。

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

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.