Title of article
Further results on homogeneous Gröbner bases under composition
Author/Authors
Jinwang Liu، نويسنده , , Mingsheng Wang and Mamoun Muhammed، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
10
From page
134
To page
143
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).
Keywords
Polynomial composition , Weighted homogeneous Gr?bner bases
Journal title
Journal of Algebra
Serial Year
2007
Journal title
Journal of Algebra
Record number
698221
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