MA3201 Rings and modules, Fall 2022

News

15/11: The lecture on Tuesday 15/11 is cancelled.

12/10: Reminder: There will be no lecture Thursday 13/10.

16/9: There will be no lecture Thursday 22/9.

16/9: Some new problem sets have been published.

30/8: The first few problems sets are out.

26/8: The exam will be on Dec 22, it seems.

Teaching

Lecturer:

Lectures:

  • Tuesday 1215-1400, B3.
  • Thursday 1215-1400, B3.
  • Some lecture may be used as problem sessions.

Office hours:

  • Tuesday 1415-1500, room 848 in SBII.

The lectures will be in-person only.

Reference group

Aurora Lucie Henriksenauroralh@stud.ntnu.no
Sunniva Engansunniva.engan@ntnu.no
John Aslak Wee Klevenjakleven@stud.ntnu.no

Syllabus and plan

The textbook is:

  • P. B. Bhattacharya, S. K. Jain and S. R. Nagpaul. Basic Abstract Algebra. Cambridge University Press. Second Edition. ISBN: 0-521-46629-6

This syllabus is preliminary:

Chapter 9 All sectionsRings
Chapter 10All sectionsIdeals and homomorphisms
Chapter 1111.1-11.3Unique factorization domains, principal ideal domains, and Euclidean domains
Chapter 1414.1-14.5Modules
Chapter 1919.1-19.3Noetherian and artinian modules and rings, Wedderburn-Artin theorem
Chapter 20, 21 All sectionsSmith normal form and Finitely generated modules over PIDs (SNF, RCF, JCF)

Likewise, the plan will change:

WeekChaptersNotes
349.1-4, 10.1-2
3510.2-5
3610.6, 11.1-3
3714.1-3
3814.4No lecture on Thu 22/9
3914.5, 19.2
4019.2-3
4119.1-3No lecture on Thu 13/10
4219.3, 20.1-3
4321.1-2
4421.4
4521.5
46Repetition
47Old exams

Problem sets

ChapterProblems
91, 3, 6, 9, 10, 11, 24
10.11, 2, 4, 6
10.21, 2, 7, 10, 16
10.32, 4, 5, 7
10.41, 4, 5
11.12, 7, 8
11.31, 4, 7, 8
14.11
14.21, 5, 8, 11
14.32, 3, 6
14.42, 6
19.11, 2
19.21, 3, 6, 11
19.31, 2, 3, 4
2022-11-15, Kristian Gjøsteen