Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588229 | Journal of Algebra | 2007 | 10 Pages |
Abstract
Polynomial composition is the operation of replacing variables in a polynomial by other polynomials. This paper studies when Gröbner bases remain Gröbner bases under composition with respect to any fixed term ordering. A complete characterization is given for homogeneous Gröbner bases under an arbitrary grading. This unifies the results of Hong (1998) and Liu and Wang (2006).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory