Inhalt
[ 201ADMAALGU20 ] UE Algebra
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 1,5 ECTS |
M1 - Master's programme 1. year |
Mathematics |
Manuel Kauers |
1 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2025W |
| Learning Outcomes |
Competences |
| Students develop an understanding of some advanced topics in algebra.
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| Skills |
Knowledge |
- Prove and disprove statements related to the theorems presented in the course.
- Produce examples and counterexamples for the concepts presented in the course.
- Put the contents of introductory courses on algebra into a larger context.
- Reproduce proofs of classical results on the subject.
- Regognize in nontrivial situations whether given algebraic structures are isomorphic.
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Groups and semigroups, Rings and modules, Galois theory, valued fields.
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| Criteria for evaluation |
In the exercise session, homework problems will be discussed.
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| Language |
English and French |
| Study material |
- Thomas W. Hungerford, Algebra, Springer Verlag
- Günter F. Pilz, Algebra, Ein Reiseführer durch die schönsten Gebiete, Trauner Verlag
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| Changing subject? |
No |
| Earlier variants |
They also cover the requirements of the curriculum (from - to)
TM1WJUEALGE: UE Algebra (2004S-2020S)
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| On-site course |
| Maximum number of participants |
25 |
| Assignment procedure |
Direct assignment |
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