MA 3203 Ring Theory Spring 2026

• English
• norsk

• Tuesdays 08.15-10.00 in room R51 in Realfagsbygget.
• Thursdays 14.15-16.00 in room R41 in Realfagsbygget.

The first meeting is Thursday, 8th January, and the last meeting is Thursday, 30th April.

• Sondre Kvamme
• Email: sondre [dot] kvamme [at] ntnu [dot] no
• Office Hours: Just contact me by email!

We will use a flipped classroom for this course. This means that you will watch videos outside of class (produced by Øyving Solberg) and during class we will solve exercises together. I also plan to give you the opportunity to present your solutions during class. This will be a good preparation for the exam, which is oral.

In order for this approach to be successfu you are expected to do the following:

• Come to class and participate actively. Please inform me by email if you are not able to come.
• Watch and try to understand the videos before class.

There will be an oral exam.

• Quivers, path algebras, and representations of quivers
• Finite length modules
• Radicals of rings and modules
• Projective modules
• Artin algebras
• Categories and functors
• The Krull-Remak-Schmidt Theorem
• Injective modules and socles
• Duality
• Auslander–Reiten quiver and Auslander–Reiten sequences

Here are some relevant textbooks

• Authors: M. Auslander, I. Reiten, and S. O. Smalø
• Title: Representation theory of Artin algebras, Cambridge studies in mathematics 36
• Publisher: Cambridge University Press
• Edition: Second edition
• Year: 1995
• ISBN: 0-521-59923-7

• Authors: I. Assem, D. Simson, and A. Skowroński
• Title: Elements of the representation theory of associative algebras, vol 1: techniques of representation theory, London Mathematical Society student textss 65
• Publisher: Cambridge University Press
• Edition: First edition
• Year: 2006
• ISBN: 978-0-521-58631-3

Please contact one of the following people if you have comments or feedback regarding the course:

• Håkon Berg Bothner : haakobbo(at)ntnu.no
• Oskar Erland Fossaas : oskaref(at)stud.ntnu.no
• Helle Kvalvik Breidablik : hellekb(at)ntnu.no

First Meeting: 3rd February