Gr(o)bner bases in difference-differential modules and difference-differential dimension polynomials

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	Gr(o)bner bases in difference-differential modules and difference-differential dimension polynomials
	ZHOU Meng 1; Franz WINKLER 2
	2008-01-01
发表期刊	Science in China. Series A: Mathematics
ISSN	1006-9283
卷号	51 期号:9 页码:1732
摘要	In this paper we extend the theory of Grobner bases to difference-differential modules and present a new algorithmic approach for computing the Hilbert function of a finitely generated difference-differential module equipped with the natural filtration. We present and verify algorithms for constructing these Grobner bases counterparts. To this aim we introduce the concept of "generalized term order" on N(m) x Z(n) and on difference-differential modules. Using Grobner bases on difference-differential modules we present a direct and algorithmic approach to computing the difference-differential dimension polynomials of a difference-differential module and of a system of linear partial difference-differential equations.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/39305
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.RISC-Linz,J.Kepler University Linz
推荐引用方式 GB/T 7714	ZHOU Meng,Franz WINKLER. Gr(o)bner bases in difference-differential modules and difference-differential dimension polynomials[J]. Science in China. Series A: Mathematics,2008,51(9):1732.
APA	ZHOU Meng,&Franz WINKLER.(2008).Gr(o)bner bases in difference-differential modules and difference-differential dimension polynomials.Science in China. Series A: Mathematics,51(9),1732.
MLA	ZHOU Meng,et al."Gr(o)bner bases in difference-differential modules and difference-differential dimension polynomials".Science in China. Series A: Mathematics 51.9(2008):1732.