On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory

  • Wenjun Wu (Wen-tsün Wu)
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

As a consequence of a previous study of algebraic differential geometry ([see WU1]) there may be associated to certain special kinds of differential ideals some well-behaved basis enjoying some well-behaved properties. If the differential ideals are further specialized so that they correspond to ordinary polynomial ideals then such a well-behaved basis will become the usual Groebner basis of the polynomial ideals while the latter is not known for differential ideals.

Keywords

Polynomial ideal differential ideal well-behaved basis Groebner basis 
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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2005

Authors and Affiliations

  • Wenjun Wu (Wen-tsün Wu)
    • 1
  1. 1.Institute of Systems ScienceAcademia SinicaBeijingChina

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