Abstract Algebra Python Packages

fe25519

Pure-Python data structure for working with Ed25519 (and Ristretto) field elements and operations.

ge25519

Pure Python data structure for working with Ed25519 (and Ristretto) group elements and operations.

ogdoad

Clifford algebras (with nilpotents) over the field-like subclasses of combinatorial games: nimbers, surreals, surcomplex. Rust core + Python bindings.

algebrax

Algebraic Primitives for Sparse Data Structures in Python

sage-aata

SageMath files (via Jupyter Notebooks) that give an introduction to using SageMath to explore select topics in Abstract Algebra and Cryptography. Note that no local installation of SageMath or Jupyter Notebooks is required to access and use this Project

modulo

Pure-Python library for working with modular arithmetic, congruence classes, and finite fields.

algepy-tools

A Python library for efficient number theory and abstract algebra.

quaternion-monoid-algebra

Compositional algebra over fixed-width quaternionic-symbolic state packets. A monoid (closed, associative, with two-sided identity) plus empirical topology preservation. MIT licensed.