Gr?bner bases in difference-differential modules with coefficients in a commutative ring |
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基金项目: | supported by National Natural Science Foundation of China (Grant No.10871017);Natural Science Foundation of Beijing (Grant No. 1102026) |
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摘 要: | Insa and Pauer presented a basic theory of Grbner bases for differential operators with coefficients in a commutative ring and an improved version of this result was given by Ma et al.In this paper,we present an algorithmic approach for computing Grbner bases in difference-differential modules with coefficients in a commutative ring.We combine the generalized term order method of Zhou and Winkler with SPoly method of Insa and Pauer to deal with the problem.Our result is a generalization of theories of Insa and Pauer,Ma et al.,Zhou and Winkler and includes them as special cases.
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关 键 词: | Grbner basis difference-differential module generalized term order G-S-polynomials |
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