Algebra III WM-MA-AL-EN
Algebra III is an advanced mathematics subject that prepares students for further studies in mathematics. This subject gives solid background in key areas of modern mathematics, Algebra in particular. It builds on already acquired knowledge of algebraic concepts of groups and fields.
Topics include groups, rings, fields, polynomials in one variable, vector spaces, categories and functors, and Galois theory.
(in Polish) Dyscyplina naukowa, do której odnoszą się efekty uczenia się
(in Polish) E-Learning
(in Polish) Grupa przedmiotów ogólnouczenianych
Course coordinators
(in Polish) Opis nakładu pracy studenta w ECTS
Subject level
Learning outcome code/codes
Type of subject
Learning outcomes
Students completing this subject should:
- understand groups, rings and ideals;
- develop deep understanding of homomorphisms;
- develop deeper knowledge of normal subgroups, isotropy groups and operations of groups on sets;
- become familiar with categories and functors;
- understand modules and vector spaces;
- understand theory of polynomials, irreducibility and power series;
- develop understanding of algebraic extensions and Galois theory.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: