2 PROPERTIES OF GROEBNER BASES

被引：0
|
作者：
CHMUTOV, SV [1 ]
机构：
[1] RUSSIAN ACAD SCI,INST SOFTWARE,MOSCOW,RUSSIA
来源：
PROGRAMMING AND COMPUTER SOFTWARE | 1992年 / 18卷 / 05期
关键词：
D O I：
暂无
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The Groebner basis is one of the fundamental objects of computer algebra. It is a rather remarkable basis for an ideal in a ring of polynomials. This article describes two transformations that transform Groebner bases into Groebner bases. A mapping onto the leading homogeneous part of a polynomial is a special case of such transformations.
引用
收藏
页码：232 / 233
页数：2
相关论文
共 50 条
  • [31] Detection of biological switches using the method of Groebner bases
    Arkun, Yaman
    BMC BIOINFORMATICS, 2019, 20 (01)
  • [32] Mechanical Geometry Theorem Proving Based on Groebner Bases
    吴尽昭
    "Journal of Computer Science and Technology J", 1997, (01) : 10 - 16
  • [33] Differential Groebner Bases in One Variable and in the Partial Case
    Carra', Ferro, G.
    Mathematical and Computer Modelling (Oxford), 25 (8-9):
  • [34] Construction of groebner bases for investigation of systems of polynomial equations
    A. Yu. Rystsova
    I. K. Rystsov
    Cybernetics and Systems Analysis, 1997, 33 : 718 - 723
  • [35] Groebner Bases and Involutive Methods for Algebraic and Differential Equations
    Gerdt, V. P.
    Mathematical and Computer Modelling (Oxford), 25 (8-9):
  • [36] Growth in Varieties of Multioperator Algebras and Groebner Bases in Operads
    Piontkovski, Dmitri
    PROCEEDINGS OF THE 2017 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION (ISSAC'17), 2017, : 373 - 379
  • [37] Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials
    Yang, Kehu
    Zhang, Qi
    Yuan, Ruyi
    Yu, Wensheng
    Yuan, Jiaxin
    Wang, Jin
    IEEE TRANSACTIONS ON POWER ELECTRONICS, 2016, 31 (04) : 2742 - 2752
  • [38] Construction of Groebner bases for investigation of systems of polynomial equations
    Rystsova, AY
    Rystsov, IK
    CYBERNETICS AND SYSTEMS ANALYSIS, 1997, 33 (05) : 718 - 723
  • [39] Groebner Bases Based Verification Solution for SystemVerilog Concurrent Assertions
    Zhou, Ning
    Gao, Xinyan
    Wu, Jinzhao
    Wei, Jianchao
    Li, Dakui
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [40] Analogs of Groebner Bases in a Polynomial Ring with Countably Infinite Indeterminates
    Jabeen, Nazia
    Khan, Junaid Alam
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (02): : 359 - 370
12345