On Computing Groebner Basis in the Rings of Differential Operators

Details On Computing Groebner Basis in the Rings of Differential Operators On Computing Groebner Basis in the Rings of Differential Operators

2010-04-13

arxiv.org/abs/1004.2090v2

Computer Science

Symbolic Computation

Scientific paper

Insa and Pauer presented a basic theory of Groebner basis for differential operators with coefficients in a commutative ring in 1998, and a criterion was proposed to determine if a set of differential operators is a Groebner basis. In this paper, we will give a new criterion such that Insa and Pauer's criterion could be concluded as a special case and one could compute the Groebner basis more efficiently by this new criterion.

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