There are 5 repositories under commutative-algebra topic.
The agda-unimath library
Rings: efficient JVM library for polynomial rings
An introduction to the basic ideas of commutative algebra
Field-algebra based on Group / Ring symbolic vector module extension
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)
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.
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 applications, such as deformation theory, the theory of D-modules, and certain motivic/geometric aspects of p-adic Hodge theory.
c++ programs on groebner basis and polynomial ideals computation