Lexsegment ideals with linear resolution
type: Item
instance of: scholarly article
title: Lexsegment ideals with linear resolution
zbMATH Open document ID: 0904.13008
author: Emanuela De Negri
author: Jürgen Herzog
author: Annetta G. Aramova
published in: Illinois Journal of Mathematics
publication date: 1998-11-08T00:00:00Z
review text: Let \(u\) and \(v\) be two monomials of degree \(d\) in the polynomial ring \(K[x_1, \dots, x_n]\) such that \(u\geq v\) with respect to the lexicographical order. The set of monomials \(w\) such that \(u\geq w\geq v\) is called a lexsegment. An ideal generated by a lexsegment is called a lexsegment ideal. The lexsegment ideals with linear resolutions are characterized, and for arbitrary lexsegment ideals the linear part of the resolution is determined.
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13B25
Mathematics Subject Classification ID: 13D02
zbMATH DE Number: 1193078
zbMATH Keywords: polynomial ring
zbMATH Keywords: monomials
zbMATH Keywords: lexsegment ideals
zbMATH Keywords: resolution
reviewed by: Joachim Herzog
MaRDI profile type: Publication
Recommended article: Powers of lexsegment ideals with linear resolution
Recommended article: Q3522689
Recommended article: Q3530897
Recommended article: Q4685194
Recommended article: Properties of lexsegment ideals
Recommended article: Completely lexsegment ideals
Recommended article: Lexsegment ideals and their \(h\)-polynomials
Recommended article: Lexsegment ideals in the exterior algebra
Recommended article: Piecewise lexsegment ideals
Recommended article: Linear resolutions and polymatroidal ideals
description: scientific article; zbMATH DE number 1193078