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

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

A computer algebra system in Smalltalk

A curated list of Algebraic Statistics tools and resources.

Equivalent definitions of flatness

Computation using Sympy to understand Spin Algebra

c++ library for mathematical computations

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

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

c++ programs on groebner basis and polynomial ideals computation

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…

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

A Macaulay2 package to deal with t-spread ideals of a polynomial ring. Some details can be found in this paper.