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
  • [41] Solve the Selective Harmonic Elimination Problem with Groebner Bases Theory
    Yang Ke-hu
    Yuan Zhi-bao
    Wei Wei
    Yuan Ru-yi
    Yu Wen-sheng
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 7910 - 7915
  • [42] 'Groebner bases in exterior algebra', J. automated reasoning
    1600, (07):
  • [43] Method of Groebner bases applied to the symbolic solution of mechanism problems
    Jixie Kexue Yu Jishu, 1 (5-7):
  • [44] Harmonic Elimination for Multilevel Converter with Groebner Bases and Symmetric Polynomials
    Yang, Kehu
    Zhang, Qi
    Yuan, Ruyi
    Yu, Wensheng
    Wang, Jin
    2015 IEEE ENERGY CONVERSION CONGRESS AND EXPOSITION (ECCE), 2015, : 689 - 694
  • [45] Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
    Marquez-Campos, Guadalupe
    Tornero, Jose M.
    TRENDS IN NUMBER THEORY, 2015, 649 : 139 - 161
  • [46] A decoding algorithm for binary linear codes using Groebner bases
    Randriamiarampanahy, Jean Jacques Ferdinand
    Andriatahiny, Harinaivo
    Rabeherimanana, Toussaint Joseph
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (02): : 441 - 448
  • [47] Groebner bases computation in Boolean rings is P-SPACE
    Lamar University, United States
    World Acad. Sci. Eng. Technol., 2009, (960-965):
  • [48] The Closed-form Solution of Groebner Bases for the Spatial Burmester Problem
    LI Li
    International Journal of Plant Engineering and Management, 2001, (03) : 113 - 117
  • [49] ALGEBRAIC-SOLUTION OF SYSTEMS OF POLYNOMIAL EQUATIONS USING GROEBNER BASES
    GIANNI, P
    MORA, T
    LECTURE NOTES IN COMPUTER SCIENCE, 1989, 356 : 247 - 257
  • [50] Groebner bases and nearly symmetric orthogonal PR filter bank design
    Department of Mathematics, National University of Defense Technology, Changsha 410073, China
    不详
    J. Inf. Comput. Sci., 2006, 4 (1077-1082):
12345