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The λ-Gröbner Bases Under Polynomial Composition

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Abstract

Polynomial composition is the operation of replacing variables in a polynomial with other polynomials. λ-Gröbner basis is an especial Gröbner basis. The main problem in the paper is: when does composition commute with λ-Gröbner basis computation? We shall answer better the above question. This has a natural application in the computation of λ-Gröbner bases.

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Authors and Affiliations

  1. School of Mathematics and Computing Science, Hunan Science and Technology University, Xiangtan, 411201, China

    Jinwang Liu & Dongmei Li

  2. School of Mathematical Sciences and Computing Technology, Central South University, Changsha, 410083, China

    Xiaosong Chen

Authors
  1. Jinwang Liu
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  2. Dongmei Li
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  3. Xiaosong Chen
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Corresponding author

Correspondence to Jinwang Liu.

Additional information

The research is supported by the National Natural Science Foundation of China under Grant No. 10771058, Hunan Provincial Natural Science Foundation of China under Grant No. o6jj20053, and Scientific Research Fund of Hunan Provincial Education Department under Grant No. 06A017.

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Liu, J., Li, D. & Chen, X. The λ-Gröbner Bases Under Polynomial Composition. Jrl Syst Sci & Complex 20, 610–613 (2007). https://doi.org/10.1007/s11424-007-9059-5

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  • DOI: https://doi.org/10.1007/s11424-007-9059-5

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