MA 3203 Ring Theory Spring 2025

Welcome to the Ring theory course!

We agreed that the classes on Tuesdays will start at 08:30, and not at 08:15. We will instead work continuously until 10:00, without a break at 09:00-09:15.
Exceptionally, the first two lectures wil be on Wednesday 15th January at 16:15-18:00 in R41 and Thursday 16th January at 14:15-16:00 in Kjelhuset - KJL21

Official Course Description

Course Info

Meetings

Monday 12.15-14.00 in room R41 in Realfagsbygget.
Tuesdays 08.15-10.00 in room R41 in Realfagsbygget.

The first meeting is Monday, January 13th, and the last meeting is Tuesday, 29th April.

Lecturer

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

Course plan

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.

Exam

There will be an oral exam.

Syllabus/Topics Covered

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

Textbooks

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