Extended <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mstyle mathvariant="normal"><mml:mi>F</mml:mi></mml:mstyle></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:math> criteria-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Extended F5 criteria

Published:2010-12 Issue:12 Volume:45 Page:1330-1340
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Hashemi Amir,Ars Gwénolé

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference11 articles.

1. Buchberger, Bruno, 1965. Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nuildimensionalen Polynomideal. PhD Thesis, Universität Innsbruck.

2. A criterion for detecting unnecessary reductions in the construction of Gröbner-bases;Buchberger,1979

3. Gröbner bases: an algorithmic method in polynomial ideal theory;Buchberger,1986

4. Gröbner Bases;Becker,1993

5. Cannon, John, et al. 2006. Magma 2.11. A Computer Algebra System. School of Mathematics and Statistics, University of Sydney. http://magma.maths.usyd.edu.au/magma/.

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Signature-based standard basis algorithm under the framework of GVW algorithm;Journal of Symbolic Computation;2025-03

2. Axioms for a theory of signature bases;Journal of Symbolic Computation;2024-07

3. Speeding Up the GVW Algorithm via a Substituting Method;Journal of Systems Science and Complexity;2019-02

4. Extending the GVW Algorithm to Local Ring;Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation;2018-07-11

5. A survey on signature-based algorithms for computing Gröbner bases;Journal of Symbolic Computation;2017-05

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP