SagbiGbDetection

SagbiGbDetection.jl is a Julia package for Gröbner and SAGBI basis detection.

Getting Started

SagbiGbDetection is a computer algebra package for the Julia programming language, maintained by Viktoriia Borovik, Timothy Duff and Elima Shehu.

• https://github.com/elimashehu/SagbiGbDetection.jl (Source code)

SagbiGbDetection implements algorithms for detecting whether a given set of polynomials forms a Groebner basis or SAGBI basis with respect to some term order. The implementation uses Oscar.jl.

Installation

Install Julia from https://julialang.org/downloads/.

SagbiGbDetection requires Julia 1.8 or newer. Once the package is registered, install it with:

julia> ]add SagbiGbDetection

Until registration is complete, install the development version from GitHub:

julia> using Pkg
julia> Pkg.add(url = "https://github.com/elimashehu/SagbiGbDetection.jl")

Examples

The examples page covers the main Groebner and SAGBI routines. The application examples page gives Julia code for examples from the paper.