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TitleOn Computing Gröbner Bases in Rings of Differential Operators
Author(s) Xiaodong Ma, Yao Sun, Dingkang Wang
AbstractInsa and Pauer presented a basic theory of Gr ̈bner 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 Gr ̈bner 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 Grobner basis more efficiently by this new criterion.
KeywordsGröbner basis, rings of differential operators
URL http://arxiv.org/abs/1004.2090v2
Translation No
Refereed No
Institution Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, CAS,