Minimal Homogeneous Bases for Polynomial Ideals
Source: Applicable Algebra in Engineering, Communication and Computing, Volume 15, Numbers 3-4, November 2004 , pp. 267-278(12)
Abstract:The minimal homogeneous basis is defined. It is shown that every minimal homogeneous basis of an ideal has the same number of elements. An algorithm for finding a minimal homogeneous basis is developed. The main idea is to modify the classical Buchberger’s algorithm for finding a Gröbner basis so that a minimal homogeneous basis can be obtained as a subset of a Gröbner basis.
Document Type: Research Article
Affiliations: 1: Department of Mathematics, Abant Izzet Baysal University, 14280, Bolu, Turkey, Email: firstname.lastname@example.org 2: Department of Mathematics, Abant Izzet Baysal University, 14280, Bolu, Turkey, Email: email@example.com
Publication date: November 2004