# MA 3203 Ring Theory Spring 2023

Welcome to the Ring theory course!

- Dear students! The Faculty of Information Technology and Electrical Engineering (IE) is sending out a questionnaire-based student evaluation for courses taught at IE. Please help us to improve our teaching by answering this survey in the course MA3203 Ring Theory https://nettskjema.no/a/333887 The survey closes on May 5. (You answer anonymously, but need to log in with Feide for safety reasons.)
- Note that the time and place for the lectures will change on Thursdays. This will happen from the 2nd of March. The new time will be 14:15-16:00, and the lectures will be in room H2 in Hovedbygningen.
- The meetings will be held by Jacob Fjeld Grevstad for the first month.

### Official Course Description

## Course Info

### Meetings

- Tuesdays 14.15-16.00 in room K26 in Kjemiblokk 4.
- Thursdays 14.15-16.00 in room H2 in Hovedbygningen.

The first meeting is Tuesday, January 10th, and the last meeting is Thursday, May 4th.

### Lecturer

- Sondre Kvamme
- Office Hours: Just contact me by email!

- Jacob Fjeld Grevstad

### 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:

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

### Reference Group

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

- Denis Bondarenko Bergmann: denisbb@stud.ntnu.no
- Trond Elias Ødegård : trondeod@stud.ntnu.no
- Ulrik Sørgaard Djupvik : ulrik.s.djupvik@ntnu.no

First Meeting: 22nd February

Second Meeting: 22nd March