# Abstract Algebra

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This book is on *abstract algebra* (abstract algebraic systems), an advanced set of topics related to algebra, including groups, rings, ideals, fields, and more. Readers of this book are expected to have read and understood the information presented in the Linear Algebra book, or an equivalent alternative.

## Table of Contents

This book is part of a series on **Algebra:**

Basic Algebra

Algebra

Intermediate Algebra

Linear Algebra

**Abstract Algebra**

Intro to Rings and Algebras

- Introduction
- Group Theory
- Rings
- Fields
- Vector Spaces
- Modules
- Algebras
- Further abstract algebra
- Authors

## Related books

- See Subject:Algebra

## Information for contributors

This wikibook shall give an introduction to the fundamental concepts of abstract algebra, such as groups, rings and ideals, and fields and Galois theory.

## Contents

### Groups

### Rings

- Rings, ideals, ring homomorphisms
- The hierarchy of rings
- Polynomial rings, irreducibility
- Fields of fractions