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

Algebra I

Lecturers & Examiners: Prof. Dr. Rahul Pandharipande
VVZ CR n/a

Last Updated: 2026-06-03 00:07:54

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
English
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.---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.

Course Components

Type Title Time & Place Hours
lecture Algebra I
This course is offered in English in HS 2026. On 29 September and 8 December tentatively 11-13 instead of 12-14 [tbc and room tba]
No time listed 3 h weekly
exercise Algebra I
One or two of the exercise groups are conducted in German.
No time listed 2 h weekly

Offered In