Papers › Groebner.jl: A package for Gröbner bases computations in Julia

Groebner.jl: A package for Gröbner bases computations in Julia

14 Apr 2023arXiv:2304.06935links table onlyarchive 2025-07-28

Alexander Demin, Shashi Gowda

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We present Groebner.jl, a Julia package for computing Groebner bases with the F4 algorithm. Groebner.jl is an efficient, portable, and open-source software. Groebner.jl works over integers modulo a prime and over the rationals, supports basic multi-threading, and specializes in computation in the degree reverse lexicographical monomial ordering. The implementation incorporates various symbolic computation techniques and leverages the Julia type system and tooling, which allows Groebner.jl to compete with the existing state of the art, in many instances outperform it, and exceed them in extensibility. Groebner.jl is freely available at https://github.com/sumiya11/Groebner.jl.

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