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401-2003-00L 7 Credits BSC D-PHYS , D-MATH
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Algebra I

Lecturers & Examiners: Dr. Christian Urech
VVZ CR n/a

Last Updated: 2026-06-01 11:31:23

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, factorization Field Theory: basic notions and examples of fields and field extensions, applications

Resources

Literature

M. Artin: Algebra J.F. Humphreys: A Course in Group Theory (Oxford University Press) G. Smith and O. Tabachnikova: Topics in Group Theory (Springer-Verlag) R. Lidl and H. Niederreiter: Introduction to Finite Fields and their Applications (Cambridge University Press)

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 120 minutes
Aids
None
Es gibt jede Woche ein Quiz auf der Moodle Seite der Vorlesung. Für 10 oder mehr bestandene Quizze gibt es einen Notenbonus von 0.25 Notenpunkten. Für weniger bestandene Quizze gibt es den Bonus anteilmässig. Der Bonus wird ungerundet zur ungerundeten Note aus der Prüfung addiert; das Resultat wird zur Endnote gerundet.Betrifft den Jahreskurs Algebra I und II: Die Prüfung als Jahreskurs besteht aus den beiden Teilprüfungen Algebra I und Algebra II, welche in der betreffenden Prüfungssession auch als Prüfungen für die Semesterkurse stattfinden.---There is a quiz every week on the Moodle page of the lecture. For 10 or more passed quizzes, there is a grade bonus of 0.25 grade points. For fewer passed quizzes, the bonus is proportional. The bonus is added to the unrounded grade from the exam; the result is rounded to the final grade.Applies to the yearly course Algebra I and II: The exam for the yearly course consists of two parts, Algebra I and Algebra II, which are also offered as exams for the semester courses in the relevant exam session.

Course Components

Type Title Time & Place Hours
lecture Algebra I
Am 30.09. und 09.12. wird die Vorlesung um eine Stunde vorgezogen (11-13 statt 12-14) und findet im IFW A 36 statt.
  • Tue 12:15-14:00 (HG G 5)
  • Wed 14:15-15:00 (HG G 5)
  • 30.09 Date 11:15-13:00 (IFW A 36)
  • 09.12 Date 11:15-13:00 (IFW A 36)
3 h weekly
exercise Algebra I
Groups are selected in myStudies.
  • Wed 16:15-18:00 (HG D 7.1)
  • Wed 16:15-18:00 (LFW B 1)
  • Wed 16:15-18:00 (LFW C 4)
  • Wed 16:15-18:00 (LFW E 13)
  • Wed 16:15-18:00 (RZ F 21)
2 h weekly

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