MAI0034
Algebra, introductory course/
Algebra, mindre kurs

Number of credits: 7.5 hp

Examiner: Leif Melkersson

Course literature: Serge Lang: Algebra (Springer GTM#211).

Course contents: Groups, operations, Sylow subgroups, structure of finitely generated abelian groups, categories and functors(universal constructions), free groups. Rings, rings of fractions, factorial domains , irreducibility criteria. Modules, free modules, modules over a principal ideal domain, exactness, lemme de serpent, limits, noetherian rings, Hilberts basis theorem, symmetric polynomials.

Organisation: Lectures, exercises (alt. reading course).

Examination: Solving assigned problems.

Prerequisites: Basic knowledge of algebra and linear algebra.

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Last updated: 2022-11-14