MA3203 Ring Theory Spring 2024

• English
• norsk

• Monday 10.15-12.00 in R92 in Realfagbygget.
• Thursday 12.15-14.00 in MA24 in Grønnbygget.

The first meeting is Monday, January 8th, and the last meeting is Thursday, May 2nd.

• Jacob Fjeld Grevstad
• Email: jacob [dot] f [dot] grevstad [at] ntnu [dot] no
• Office: 829, Sentralbygg II
• 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 Øyvind 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 successful 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.

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

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

• Authors: A. Skowroński, and K. Yamagata
• Title: Frobenius Algebras I: Basic Representation Theory
• Publisher: European Mathematical Society
• Edition: First edition
• Year: 2011
• ISBN: 978-3-03719-102-6

We will have a reference group for the course