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Gr(o)bner bases in difference-differential modules and difference-differential dimension polynomials
ZHOU Meng1; Franz WINKLER2
2008
Source PublicationScience in China. Series A: Mathematics
ISSN1006-9283
Volume51Issue:9Pages:1732
AbstractIn 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/39305
Collection中国科学院数学与系统科学研究院
Affiliation1.中国科学院数学与系统科学研究院
2.RISC-Linz,J.Kepler University Linz
Recommended Citation
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.
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