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Published education catalogue

Modules and Homological Algebra

Education information from the published source. The education record and its time-bound offerings are kept separate.

Education facts

Code: 1MA036

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.

Entry requirements

120 credits including 90 credits in mathematics or 60 credits in mathematics and 60 credits in physics. Participation in Algebraic Structures or Mathematical Methods of Physics II. Participation in Linear Algebra III or Quantum Physics. Proficiency in English equivalent to the Swedish upper secondary course English 6.

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.

Source and updates

Skolverket Susa-navet

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Publication version: 8e217193-f5fa-4778-b085-a4521fd03e8d

Checksum: 1b0dc54c0fc8a359f83ba9dc8f9d468479ce432de4c03bce3b8b33dd67fe3f6c

Last changed according to the source: 2026-03-09T12:14:24