SAGBI bases under composition

被引：6
|
作者：
Nordbeck, P [1 ]
机构：
[1] Lund Univ, Ctr Math Sci, SE-22100 Lund, Sweden
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2002年 / 33卷 / 01期
关键词：
D O I：
10.1006/jsco.2001.0498
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Polynomial composition is the operation of replacing the variables in a polynomial with other polynomials. In this paper we give a sufficient and necessary condition on a set Theta of polynomials to assure that the set F circle Theta of composed polynomials is a SAGBI basis whenever F is. (C) 2002 Academic Press.
引用
收藏
页码：67 / 76
页数：10
相关论文
共 50 条
  • [31] Differential standard bases under composition
    Zobnin A.I.
    [J]. Journal of Mathematical Sciences, 2008, 152 (4) : 522 - 539
  • [32] Reduced Grobner bases under composition
    Gutierrez, J
    San Miguel, RR
    [J]. JOURNAL OF SYMBOLIC COMPUTATION, 1998, 26 (04) : 433 - 444
  • [33] Homogeneous Grobner bases under composition
    Liu Jinwang
    Wang Mingsheng
    [J]. JOURNAL OF ALGEBRA, 2006, 303 (02) : 668 - 676
  • [34] The λ-Grobner bases under polynomial composition
    Liu, Jinwang
    Li, Dongmei
    Chen, Xiaosong
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2007, 20 (04) : 610 - 613
  • [35] FILTERED-GRADED TRANSFER OF SAGBI BASES IN SOLVABLE POLYNOMIAL ALGEBRAS
    张江峰
    [J]. Journal of Shanghai Jiaotong University(Science), 2001, (02) : 134 - 137
  • [36] A NEW CLASS OF FINITELY GENERATED POLYNOMIAL SUBALGEBRAS WITHOUT FINITE SAGBI BASES
    Kuroda, Shigeru
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (02) : 533 - 545
  • [37] The λ-Gröbner Bases Under Polynomial Composition
    Jinwang Liu
    Dongmei Li
    Xiaosong Chen
    [J]. Journal of Systems Science and Complexity, 2007, 20 : 610 - 613
  • [38] Solving Systems of Polynomial Equations with Symmetries Using SAGBI-Grobner Bases
    Faugere, Jean-Charles
    Rahmany, Sajjad
    [J]. ISSAC2009: PROCEEDINGS OF THE 2009 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, 2009, : 151 - 158
  • [39] F4-invariant algorithm for computing SAGBI-Grobner bases
    Boroujeni, Marziyeh
    Bashi, Abdolali
    Rahmany, Sajjad
    Valibouze, Annick
    [J]. THEORETICAL COMPUTER SCIENCE, 2015, 573 : 54 - 62
  • [40] A note on Computing SAGBI-Grobner bases in a Polynomial Ring over a Field
    Ofverbeck, Hans
    [J]. COMPUTER SCIENCE JOURNAL OF MOLDOVA, 2005, 13 (03) : 247 - 253
12345