Syllabus

You can find the official syllabus for the qualifying exam here. For quick reference, that information is also recreated below. This local version also has the advantage that (eventually) terms can be linked directly to relevant notes.

Topics covered


The examination covers basic properties of fundamental algebraic structures. The following is a (not necessarily exhaustive) list of topics from which questions are drawn.

Linear algebra

Vector spaces

Linear transformations and matrices

Group theory

Groups

Homomorphisms

Ring theory

Rings

Integral domains and polynomial rings

Fields

References


The material is found in a large number of texts, and is approached in a rather uniform fashion. Some texts that have been recently used are:

Linear algebra

Group and ring theory


Home for the Algebra Qual
Problem bank
Notation Key
Past exams