ring-theory

The agda-unimath library

Extensive learning notes on mathematics. Now hosted at https://git.sr.ht/~luizmugnaini/deep-dive

Reifying dynamical algebra: maximal ideals in countable rings, constructively

An undergraduate abstract algebra textbook

An exploration of fumulas in Agda—a new perspective on ring theory

Записки по Абстрактна Алгебра (Алгебра 2 / Висша Алгебра)

A Ring-Oriented Language and Virtual Machine

Graduate algebra reviewer

Ring and Module theory

ODE linear systems with plots and phase portraits.

This repo contains complementary code for the paper Global Representation Ring and Knutson Index (authors: Dylan Johnston, Diego Martín Duro, Dmitriy Rumynin). The repo contains a program written in Sage & GAP to produce tables for global representation rings of a finite group G.

Some tools for researching a particular near-ring over free groups

A minimal, law-driven implementation of core algebraic structures in Scala, connecting modules, algebras, representations, and linear maps.

A deep-dive into irreducible elements in Ring Theory — covering definitions, prime vs irreducible, UFDs, PIDs, polynomial rings over ℂ, ℝ, and ℚ, and ideals generated by irreducible elements. Built with Quarto and hosted via GitHub Pages.

"Rings & Modules" notes reproduction《环与模》讲义重刻

Formal algebraic extension of the real numbers (R[j]/<j⁵>) introducing a 5th-order nilpotent element to regularize division by zero via x/0 = xj. Includes matrix isomorphism proofs and structural defenses.

Introductory graduate algebra lecture notes covering groups, rings, modules, linear algebra, field theory, and Galois theory.