Course - Ring Theory - MA3203
MA3203 - Ring Theory
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral examination | 100/100 | D |
Course content
The course is a continuation of MA3201 Rings and modules. It is mainly concerned with discussing finite dimensional algebras over a field. The content of the course may vary, but the core will consist of representations of quivers, path algebras, artinian, noetherian and local rings, projective and injective modules, the Jordan-Hölder Theorem and the Krull-Remak-Schmidt Theorem, radical and socle of modules and rings, exact sequences, categories, functors, equivalence, and duality.
Learning outcome
1. Knowledge. The student masters the connection between module theory over finite dimensional algebras and representations of quivers. The student has basic knowledge of categories, functors, radical, base, and exact sequences. The student understands the Jordan-Hölder theorem and the Krull-Schmidt theorem.
2. Skills. The student is able to find radicals, bases etc. for special classes of finite dimensional algebras. The student is able to describe the corresponding module if a representation is given, and vice versa. The student is able to find the projective cover of a representation, and to calculate almost exact splitting sequences for given finite dimensional algebras.
Learning methods and activities
Lectures/video lectures and problem sessions.
Further on evaluation
The re-sit exam is in August.
Recommended previous knowledge
The course is based on MA3201 Rings and modules or equivalent (the course may be taken parallel to MA3202 Galois theory).
Course materials
Auslander, Reiten, Smalø: Representation Theory of Artin algebras.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MNFMA327 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: SPRING 2025
Language of instruction: English
Location: Trondheim
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Oral examination 100/100 D
-
Room Building Number of candidates - Summer UTS Oral examination 100/100 D
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"