Mathematics: Algebraic Structures

Education facts

Code: MATC31

<p>The course is an elective course for first-cycle studies for a Bachelor's of Science degree in mathematics. The overarching goal of the course is for the students to acquire knowledge of the basic concepts and structures in abstract algebra such as groups, rings and fields, which are of importance for further studies in mathematics as well as in applications in computer science, information theory, physics and chemistry.</p><p>The course treats:</p> <ul> <li>Number theory: the fundamental theorem of arithmetic, modular artithmetic.</li> <li>Groups: definition, basic examples of groups, subgroups, normal subgroups, factor groups, isomorphisms and homomorphisms, Lagrange's theorem, permutation groups, symmetric and alternating groups, finitely generated Abelian groups.</li> <li>Rings: definition, basic examples of rings, isomorphisms and homomorphisms, ideals, factor rings, polynomial rings, factorisation of polynomials as products of irreducible poynomials.</li> <li>Fields: characteristic, simple field extensions, finite fields.</li> </ul><p>https://maths.lu.se/english/education/</p>

Entry requirements

For admission to the course, English 6 is required and at least 60 credits in Natural Science or Engineering studies, of which at least 30 credits in mathematics, including the courses MATA32 Algebra and Vector Geometry, 7.5 credits and MATB32 Linear algebra, 7.5 credits or equivalent courses.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Mathematics: Algebraic Structures

  Lund University

  Start date: 23 March 2026

  End date: 7 June 2026

  Pace of study: 50 %