Efficient localization at a prime ideal without producing unnecessary primary components
type: Item
instance of: scholarly article
title: Efficient localization at a prime ideal without producing unnecessary primary components
author: Yuki Ishihara
published in: Mathematics in Computer Science
publication date: 2022-12-14T00:00:00Z
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 13Pxx
zbMATH DE Number: 7632798
zbMATH Keywords: Gröbner basis
zbMATH Keywords: primary decomposition
zbMATH Keywords: localization
zbMATH Keywords: double ideal quotient
zbMATH Keywords: the degree of nilpotency
Wikidata QID: Q114221730
describes a project that uses: syci.m2
describes a project that uses: primdecSYCI.lib
describes a project that uses: SINGULAR
MaRDI profile type: Publication
full work available at URL: s11786-022-00537-4
OpenAlex ID: W4293093387
cites work: Q4693774
cites work: Ideals, Varieties, and Algorithms
cites work: Direct methods for primary decomposition
cites work: Gröbner bases and primary decomposition of polynomial ideals
cites work: A Singular Introduction to Commutative Algebra
cites work: Effective localization using double ideal quotient and its implementation
cites work: Algorithms for computing a primary ideal decomposition without producing intermediate redundant components
cites work: Q4247789
cites work: The complexity of the word problems for commutative semigroups and polynomial ideals
cites work: Localization and primary decomposition of polynomial ideals
cites work: Q4781203
cites work: Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
cites work: Q3104430
DOI: 10.1007/S11786-022-00537-4
description: scientific article; zbMATH DE number 7632798