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TitleGröbner Bases for Ideals in Laurent Polynomial Rings and their Application to Systems of Difference Equations
Author(s) Franz Pauer, Andreas Unterkircher
TypeArticle in Journal
AbstractWe develop a basic theory of Gröbner bases for ideals in the algebra of Laurent polynomials (and, more generally, in its monomial subalgebras). For this we have to generalize the notion of term order. The theory is applied to systems of linear partial difference equations (with constant coefficients) on Ê^n. Furthermore, we present a method to compute the intersection of an ideal in the algebra of Laurent polynomials with the subalgebra of all polynomials.
KeywordsLaurent polynomial ring, groebner basis, generalized term order, partial difference equation
Length21
ISSN0938-1279
File
URL dx.doi.org/10.1007/s002000050108
LanguageEnglish
JournalApplicable Algebra in Engineering, Communication and Computing
Volume9
Number4
Pages271-291
PublisherSpringer-Verlag GmbH
Year1999
MonthFebruary
Translation No
Refereed No
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