A generalization of a lemma by Schmitt and Vogel
type: Item
instance of: scholarly article
title: A generalization of a lemma by Schmitt and Vogel
zbMATH Open document ID: 1200.13002
author: Margherita Barile
published in: Tokyo Journal of Mathematics
publication date: 2010-07-09T00:00:00Z
review text: The Schmitt-Vogel lemma provides a criterion for generating the radical of a polynomial ideal up to radical. In the paper under review the author proves a result, based on combinatorial considerations, which generalizes the Schmitt-Vogel lemma for the class of monomial ideals. This result can be used for computing the arithmetical rank of some monomial ideals.
reviewed by: Anargyros Katsabekis
Mathematics Subject Classification ID: 13A15
Mathematics Subject Classification ID: 13F55
Mathematics Subject Classification ID: 14M10
zbMATH DE Number: 5734873
zbMATH Keywords: arithmetical rank
zbMATH Keywords: monomial ideals
zbMATH Keywords: set-theoretic complete intersections
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1264170241
OpenAlex ID: W2089432074
Wikidata QID: Q124970009
cites work: Arithmetical Ranks of Stanley–Reisner Ideals Via Linear Algebra
cites work: On the Arithmetical Rank of an Intersection of Ideals
cites work: Über den arithmetischen Rang quadratfreier Potenzproduktideale
cites work: Q3699817
cites work: Q3739243
cites work: On set-theoretic intersections and connectedness of algebraic varieties in \(\mathbb P^n\)
cites work: On set-theoretic intersections
cites work: Note on set-theoretic intersections of subvarieties of projective space
DOI: 10.3836/TJM/1264170241
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description: scientific article; zbMATH DE number 5734873