There are 3 repositories under groebner-basis topic.
General-Purpose Computer Algebra System as an EDSL in Haskell
Library for Polynomial System Solving through Algebraic Methods
Rings: efficient JVM library for polynomial rings
Groebner bases in (almost) pure Julia
Automatic generator of Groebner basis solvers.
A Sage interface for FGb (Gröbner basis computations)
Buchberger's algorithm in Common Lisp. Moved to https://git.sr.ht/~jmbr/cl-buchberger
Series of benchmarks for computing boolean Groebner bases
An educational purposes repository with algorithms for solving SAT problems with Groebner Bases.
Toy computer algebra system in pure python
A one-person game that visualizes Buchberger's algorithm to find the reduced Gröbner basis of a set of binomials over ℤ₂[𝑥,𝑦]
Groebner basis university project
Testbed for exploring dynamic algorithms to compute a Groebner basis
Utility for computing boolean Groebner bases with Buchberger's algorithm
A Macaulay2 package implementing the FGLM algorithm for computing Groebner bases.
A Macaulay2 package implementing the Groebner walk algorithm for computing Groebner bases.
c++ programs on groebner basis and polynomial ideals computation
A javascript library to work with polynomials in Q and multiple variables.
Explain Buchberger's algorithm by using Singular as a backend