Modules and Homological Algebra
Course, Master's level, 1MA036
Expand the information below to show details on how to apply and entry requirements.
Autumn 2025
Autumn 2025,
Uppsala, 33%, On-campus, English
Only available as part of a programme
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 1 September 2025–18 January 2026
- Language of instruction
- English
- 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.
- Application deadline
- 15 April 2025
- Application code
- UU-10010
Admitted or on the waiting list?
- Registration period
- 18 August 2025–14 September 2025
- Information on registration from the department
Autumn 2025
Autumn 2025,
Uppsala, 33%, On-campus, English
For exchange students
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 1 September 2025–18 January 2026
- Language of instruction
- English
- 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.
Admitted or on the waiting list?
- Registration period
- 18 August 2025–14 September 2025
- Information on registration from the department
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.
Syllabus
- Syllabus valid from Autumn 2025
- Syllabus valid from Autumn 2024
- Syllabus valid from Autumn 2022
- Syllabus valid from Spring 2019
- Syllabus valid from Autumn 2016
- Syllabus valid from Autumn 2015
- Syllabus valid from Autumn 2013
- Syllabus valid from Autumn 2008, version 2
- Syllabus valid from Autumn 2008, version 1
- Syllabus valid from Autumn 2007, version 2
- Syllabus valid from Autumn 2007, version 1
Reading list
- Reading list valid from Autumn 2025
- Reading list valid from Autumn 2024
- Reading list valid from Autumn 2022
- Reading list valid from Spring 2019
- Reading list valid from Autumn 2016
- Reading list valid from Autumn 2015
- Reading list valid from Autumn 2013
- Reading list valid from Autumn 2012, version 3
- Reading list valid from Autumn 2012, version 2
- Reading list valid from Autumn 2012, version 1
- Reading list valid from Autumn 2009
- Reading list valid from Autumn 2008
- Reading list valid from Autumn 2007
Contact
- Study counselling
- studievagledare@math.uu.se
- +46 18 471 32 03, +46 18 471 32 00