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Many computations relating polynomial ideals are reduced to <italic>calculating polynomial solutions of a system</italic> of linear equations with polynomial coefficients[1]. Zacharias[2] pointed out that Buchberger's algorithm[3] for Gröbner basis can be applied to solving such a linear equation. From the computational viewpoint, Zacharias' method… (More)

In extending Buchberger's theory[1.2] of Gröbner basis of polynomial ideals, Gröbner basis (standard basis in the notion of Hironaka[3]) of ideals containing power series has been discussed by several authors: Galligo[4] discussed reduction procedure of power series w.r.t. a given Gröbner basis, and Mora[5] derived a construction procedure of… (More)

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