This is a list of abstract algebra topics, by Wikipedia page. See also the list of group theory topics, glossary of group theory, glossary of ring theory, glossary of field theory, glossary of tensor theory; and the list of linear algebra topics.

Table of contents
1 Basic language
2 Group theory
3 Ring theory
4 Field theory
5 Module theory
6 Non-associative systems
7 Generalities
8 Computer algebra

Basic language

Group theory

Ring theory

Field theory

Module theory

Non-associative systems

Generalities

Computer algebra