Article ID Journal Published Year Pages File Type
4588229 Journal of Algebra 2007 10 Pages PDF
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