The primary source code repository for Macaulay2, a system for computing in commutative algebra, algebraic geometry and related fields.

The agda-unimath library

Rings: efficient JVM library for polynomial rings

A software package for algebraic, geometric and combinatorial problems on linear spaces. By R. Hemmecke, R. Hemmecke, M. Köppe, P. Malkin, M. Walter

An introduction to the basic ideas of commutative algebra

A computer algebra system in Smalltalk

Field-algebra based on Group / Ring symbolic vector module extension

A curated list of Algebraic Statistics tools and resources.

Equivalent definitions of flatness

In this project, we attempt to reformulate various notions from classical commutative algebra (such as flatness, regularity, smoothness, etc.) in an entirely categorical manner, so as to be able to later write down their analogues in derived algebraic geometry without having to develop extra theory. We will also be presenting certain application…

Computation using Sympy to understand Spin Algebra

c++ library for mathematical computations

A combinatorial procedure for computing prolongation kernels

An experimental, companion implementation of the Macaulay2 computer algebra system in Rust.

Notes on the derived functor \Ext^i(-,-)

Lean formalized proof of a bound on the minimal number of generators of a product of ideals.

c++ programs on groebner basis and polynomial ideals computation

Programs and examples of computations of schemes evinced by generalized additive decompositions (GADs)

Code for working with kostka numbers and principal symmetric ideals