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Algebra I
Last Updated: 2026-02-05 15:35:10
Abstract
Introduction and development of some basic algebraic structures - groups, rings, fields.
Objective
Introduction to basic notions and results of group, ring and field theory.
Content
Group Theory: basic notions and examples of groups, subgroups, factor groups, homomorphisms, group actions, Sylow theorems, applications Ring Theory: basic notions and examples of rings, ring homomorphisms, ideals, factor rings, euclidean rings, principal ideal domains, factorial rings, applications Field Theory: basic notions and examples of fields, field extensions, algebraic extensions, applications
Resources
Literature
Karpfinger-Meyberg: Algebra, Spektrum Verlag S. Bosch: Algebra, Springer Verlag B.L. van der Waerden: Algebra I und II, Springer Verlag S. Lang, Algebra, Springer Verlag A. Knapp: Basic Algebra, Springer Verlag J. Rotman, "Advanced modern algebra, 3rd edition, part 1" http://bookstore.ams.org/gsm-165/ J.F. Humphreys: A Course in Group Theory (Oxford University Press) G. Smith and O. Tabachnikova: Topics in Group Theory (Springer-Verlag) M. Artin: Algebra (Birkhaeuser Verlag) R. Lidl and H. Niederreiter: Introduction to Finite Fields and their Applications (Cambridge University Press)
Learning Materials (Links)
- Main link
- Information
General Information
- Language
- German
- Levels
- BSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Algebra I
Die genauen Unterrichtszeiten von ONLINE - Veranstaltungen werden von den Dozierenden kommuniziert.
|
|
4 h weekly |
| exercise |
Algebra I
Groups are selected in myStudies.
Die genauen Unterrichtszeiten von ONLINE - Veranstaltungen werden von den Dozierenden kommuniziert.
|
|
2 h weekly |