Title  Gröbner Bases for Ideals in Laurent Polynomial Rings and their Application to Systems of Difference Equations 
Author(s)  Franz Pauer, Andreas Unterkircher 
Type  Article in Journal 
Abstract  We 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. 
Keywords  Laurent polynomial ring, groebner basis, generalized term order, partial difference equation 
Length  21 
ISSN  09381279 
File 

URL 
dx.doi.org/10.1007/s002000050108 
Language  English 
Journal  Applicable Algebra in Engineering, Communication and Computing 
Volume  9 
Number  4 
Pages  271291 
Publisher  SpringerVerlag GmbH 
Year  1999 
Month  February 
Translation 
No 
Refereed 
No 