Mario Blaum, John L. Fan, et al.
IEEE International Symposium on Information Theory - Proceedings
We examine the degree relationship between the elements of an ideal I⊆R[x] and the elements of φ(I) where φ→R is a ring homomorphism. When R is a multivariate polynomial ring over a field, we use this relationship to show that the image of a Gröbner basis remains a Gröbner basis if we specialize all the variables but one, with no requirement on the dimension of I. As a corollary we obtain the GCD for a collection of parametric univariate polynomials. We also apply this result to solve parametric systems of polynomial equations and to reexamine the extension theorem for such systems. © 2001 Elsevier Science B.V.
Mario Blaum, John L. Fan, et al.
IEEE International Symposium on Information Theory - Proceedings
Da-Ke He, Ashish Jagmohan, et al.
ISIT 2007
Alfred K. Wong, Antoinette F. Molless, et al.
SPIE Advanced Lithography 2000
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IEEE International Symposium on Information Theory - Proceedings