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

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

2023-04-11, Sondre Kvamme