MA 3203 Ring Theory Spring 2021

If you plan to take the resit exam, please contact Aslak Bakke Buan (aslak.buan@ntnu.no).

Course Info

Lecturer

  • Eric Hanson
  • Email: eric.j.hanson@ntnu.no
  • Office Hours: email me to schedule a Zoom meeting

Course Meetings

  • Tuesdays 8.15-10.00, in room R20 Realfagbygget when meeting on campus
  • Fridays 12.15-14.00, in room R4 Realfagbygget when meeting on campus
  • Zoom Meeting ID: 953 5813 8621, Passcode: 161742

While we are meeting on campus, but you are still welcome to attend via Zoom if you prefer.

The first meeting is Tuesday, 12 January and the last meeting is Friday, 7 May.

Course Layout

Studies show that the most effective way to learn is by communicating and problem solving with others. Therefore, we will be using a “flipped classroom” for this course. There will be videos for you to watch outside of class (produced by Øyvind Solberg), and when we meet in class you will work together (and with me) on problem sets and present your solutions. Each student will have at least one opportunity (hopefully more!) to present a solution during the semester as a way of preparing for the final exam.

The schedule for watching videos and the problem sets can be found on the Course schedule and problem sets page.

Attendance and participation are important in order for this layout to be successful. Therefore, the following are some of my expectations.

  • Leave your video on during class if possible (I will not be recording any of our meetings).
  • Make sure your name appears correctly on Zoom.
  • Come to class on time and plan to stay the whole time. If you do need to miss class for any reason, please let me know in advance.
  • Always watch and do your best to understand the videos before class.

Exam

We will have an oral exam. The schedule is available on Blackboard. If you plan to take the resit exam, please contact Aslak Bakke Buan (aslak.buan@ntnu.no).

Official Course Description

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

Textbook

  • 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

Optional Secondary Textbook

  • 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

If you have any questions, comments, or concerns about this course, please share them either with me or with the reference group:

  • Gustav Bagger, gustavba@stud.ntnu.no
  • Håvard Skjetne Lilleheie, haavsl@stud.ntnu.no

Reference group meetings: 27.1, 23.3, 7.5

2021-05-25, Eric James Hanson