| Autor: |
Barry M. Trager, Patrizia Gianni, Elisabetta Fortuna |
| Rok vydání: |
2001 |
| Předmět: |
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| Zdroj: |
Journal of Pure and Applied Algebra. 164(1-2):153-163 |
| ISSN: |
0022-4049 |
| DOI: |
10.1016/s0022-4049(00)00151-1 |
| Popis: |
We examine the degree relationship between the elements of an ideal I ⊆ R[x] and the elements of ’(I ) where ’ : R → R is a ring homomorphism. When R is a multivariate polynomial ring over a 3eld, we use this relationship to show that the image of a Gr4 obner basis remains a Gr4 obner 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 theoremfor such system s. c |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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