The spring semester 2021 will generally take place online. New presence elements as of April 26 will be communicated by the lecturers.

Search result: Catalogue data in Autumn Semester 2017

Mathematics Bachelor Information
Compulsory Courses
Examination Block II
NumberTitleTypeECTSHoursLecturers
401-2003-00LAlgebra I Information O7 credits4V + 2UE. Kowalski
AbstractIntroduction and development of some basic algebraic structures - groups, rings, fields.
ObjectiveIntroduction to basic notions and results of group, ring and field
theory.
ContentGroup Theory: basic notions and examples of groups; Subgroups, Quotient groups and Homomorphisms, Sylow Theorems, Group actions and applications

Ring Theory: basic notions and examples of rings; Ring Homomorphisms, ideals and quotient rings, applications

Field Theory: basic notions and examples of fields; finite fields, applications
LiteratureJ. 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)
B.L. van der Waerden: Algebra I & II (Springer Verlag)
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