Course Syllabus for

Algebraic Structures
Algebraiska strukturer

FMAN10F, 7.5 credits

Valid from: Autumn 2013
Decided by: FN1/Anders Gustafsson
Date of establishment: 2014-01-27

General Information

Division: Mathematics
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course codes: FMAN10, MATM11
Teaching language: English


The course is established in order to give the doctoral students knowledge about basic concepts of abstract algebra, which is useful for further studies in mathematics as well as within digital technology and coding theory.


Knowledge and Understanding

For a passing grade the doctoral student must

Competences and Skills

For a passing grade the doctoral student must

Course Contents

Rings: Polynomial rings. Ideals and quotient rings. Ring homomorphisms and isomorphisms. Groups: Lagrange's theorem. Permutation groups. Normal subgroups and quotient groups. Group homomorphisms and isomorphisms. Fields: Characteristic. Finite fields. Field extensions.

Course Literature

Hungerford, T.: Abstract Algebra: An Introduction. Cengage Learning, 2012. ISBN 9781111573331.

Instruction Details

Types of instruction: Lectures, exercises

Examination Details

Examination formats: Written exam, oral exam
Grading scale: Failed, pass

Admission Details

Assumed prior knowledge: In terms of content, basic courses in calculus (in one and several variables) and linear algebra are sufficient. However, the mathematical maturity provided by one or more further courses in mathematics is helpful .

Course Occasion Information

Contact and Other Information

Course coordinators:

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