Mathematics III - Abstract algebra

Utbildningsfakta

Kod: MM5020

The course covers: Group theory: sub groups, cosets, Lagrange's theorem, homomorphisms, normal subgroups and quotient groups, permutation groups, simple groups. Rings and fields: matrix rings, quaternions, ideals and homomorphisms, quotient rings, polynomial rings, principal ideal rings, Euclidean rings and unique factorization. Fields and vector spaces: finite-dimensional vector spaces, algebraic field extensions, finite fields.

Behörighet

Admission to the course requires knowledge equivalent to 60 credits in mathematics, where Mathematics II - Linear Algebra, 7.5 credits (MM5012) and Mathematics II - Algebra and Combinatorics, 7.5 credits (MM5013), or equivalent, are included.

Utbildningstillfällen

Varje tillfälle har egna datum och villkor. Avslutade tillfällen behålls som historik och innebär inte att en ny ansökan är öppen.

• Mathematics III - Abstract algebra

  Stockholm University

  Stockholm

  Startdatum: 18 januari 2027

  Slutdatum: 28 mars 2027

  Studietakt: 50 %