MA3203 - Ring Theory

About

Examination arrangement

Examination arrangement: Oral examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Oral examination 100/100 D

Course content

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, radical of modules and rings, socles, 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. The lectures will be given in English if they are attended by students from the Master's Programme in Mathematics for International students.

Course materials

Auslander, Reiten, Smalø: Representation Theory of Artin algebras.

Credit reductions

Course code Reduction From To
MNFMA327 7.5

Timetable

Examination

Examination arrangement: Oral examination

Term Evaluation form Weighting Examination aids Date Time Room *
Spring Oral examination 100/100 D
* 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.