Course content

The content of the course may vary, but the core will consist of representations of quivers, path algebras, artinian, noetherian and local rings, projective and injective modules, the Jordan-Hölder Theorem, radical of modules and rings, socles, exact sequences, categories, functors, equivalence, and duality.

Learning outcome

The course gives an introduce to representation theory of Artin algebras. Important examples are given by path algebras and representations of these. Through the lectures and the
problems the students are made acqainted with the methods for computing/finding the module theoretic constructions dealt with in the course.

Learning methods and activities

Lectures. The lectures will be given in English if they are attended by students from the Master's Programme in Mathematics for International students.

Recommended previous knowledge

The course is based on MA3201 Rings and modules or equivalent (the course may be taken parallel to MA3202 Galois theory).

Course materials

Auslander, Reiten, Smalø: Representation Theory of Artin algebras.

Credit reductions