# Abstract Algebra

Canonical: https://manyspace.aporia.systems/subjects/mathematics/abstract-algebra-39
Updated: 2026-10-13

Abstract Algebra: about 66 hours. Each topic lists what you need first and what it unlocks.

## Group Theory

- [Groups & Subgroups](https://manyspace.aporia.systems/topics/groups-subgroups-mth-absalg-256)
- [Cosets & Lagrange's Theorem](https://manyspace.aporia.systems/topics/cosets-lagrange-s-theorem-mth-absalg-257)
- [Homomorphisms & Isomorphism Theorems](https://manyspace.aporia.systems/topics/homomorphisms-isomorphism-theorems-mth-absalg-258)
- [Group Actions](https://manyspace.aporia.systems/topics/group-actions-mth-absalg-259)

## Rings & Fields

- [Rings & Ideals](https://manyspace.aporia.systems/topics/rings-ideals-mth-absalg-260)
- [Polynomial Rings](https://manyspace.aporia.systems/topics/polynomial-rings-mth-absalg-261)
- [Unique Factorization Domains](https://manyspace.aporia.systems/topics/unique-factorization-domains-mth-absalg-262)

## Field Theory

- [Field Extensions](https://manyspace.aporia.systems/topics/field-extensions-mth-absalg-263)
- [Finite Fields](https://manyspace.aporia.systems/topics/finite-fields-mth-absalg-264)
- [Galois Theory Intro](https://manyspace.aporia.systems/topics/galois-theory-intro-mth-absalg-265)