On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory
Wenjun Wu · Birkhäuser-Verlag eBooks · 2006
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.