arXiv Open Access 2010

On Computing Groebner Basis in the Rings of Differential Operators

Xiaodong Ma Yao Sun Dingkang Wang

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Abstrak

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.

Topik & Kata Kunci

cs.SC

Penulis (3)

Xiaodong Ma

Yao Sun

Dingkang Wang

Format Sitasi

APA MLA BibTeX

Ma, X., Sun, Y., Wang, D. (2010). On Computing Groebner Basis in the Rings of Differential Operators. https://arxiv.org/abs/1004.2090

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓