Modules and Homological Algebra

10 credits

Course, Master's level, 1MA036

Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English Only available as part of a programme

Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English For exchange students

Autumn 2024 Autumn 2024, Uppsala, 33%, On-campus, English Only available as part of a programme

Autumn 2024 Autumn 2024, Uppsala, 33%, On-campus, English For exchange students

About the course

Free groups and algebras. Generators and relations. Modules. Noether's isomorphism theorems. The structure of finitely generated modules over principal ideal rings. Categories and functors. Equivalence for categories. Adjoint functors. The hom and tensor functors. Projective, injective, simple and indecomposable modules. Quiver algebras and their modules. Complexes. Homology. Exact sequences. Diagram chase.

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