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German original

Noncommutative Algebra
(dt. Nichtkommutative Algebra)

Level, degree of commitment in original study programme Advanced module, compulsory elective module
Forms of teaching and learning,
workload
Lecture (4 SWS), recitation class (2 SWS),
270 hours (90 h attendance, 180 h private study)
Credit points,
formal requirements
9 CP
Course requirement: Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination
Language,
Grading
German,
The grading is done with 0 to 15 points according to the examination regulations for study course M.Sc. Mathematics.
Original study programme M.Sc. Mathematik / Vertiefungsbereich Mathematik
Duration,
frequency
One semester,
Regelmäßig im Wechsel mit anderen advanced moduleen
Person in charge of the module's outline Prof. Dr. István Heckenberger

Contents

Depending on the course.

Basic concepts and established results in the field of non-commutative algebra (structure theory, special classes of non-commutative algebras) and their connections to other mathematical structures such as group theory and Lie theory are presented.


Qualification Goals

The students shall

  • get an insight into a current field of research,
  • learn the basic structures and techniques of non-commutative algebra,
  • are confronted with unfamiliar abstract mathematical terms, which they gradually learn to understand and apply better through examples and sentences,
  • practice mathematical working methods (development of mathematical intuition and its formal justification, training of abstraction and formulating proofs),
  • Improve their oral communication skills in the tutorials by practicing free speech in front of an audience and during discussion.

Prerequisites

None. The competences taught in the following modules are recommended: either Foundations of Mathematics and Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Algebra.


Recommended Reading

  • Abhängig von der Veranstaltung



Please note:

This page describes a module according to the latest valid module guide in Wintersemester 2020/21. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.