Modul

Oral examination of ca. 30 minutes.

Students are able to

• understand essential concepts from Algebra,
• apply results from Galois theory to concrete situations,
• name basic results concerning discrete valuations and relate them to integral ring extensions.

They are prepared to write a thesis on a topic from algebra.

None

• algebraic field extensions, Galois theory, roots of unit, applications of Galois theory
• discrete valuations, discrete valuation rings
• Tensor products of modules, integral ring extensions, normalization, noetherian rings, Hilbert's Basis Theorem

Basic knowledge on groups and rings is benefitial.

Total worklaod : 240 hours.

Attendance: 90 h

• lectures and tutorials including the examination

Self studies: 150 h

• follow-up and deepening of the course content
• work on problem sheets
• literature study and internet research on the course content
• preparation for the module examination