Conducted in
term:
2023/24L
ECTS credits:
3
Language:
Polish
Organized by:
Doctoral School of Exact and Natural Sciences
Krull and Dedekind domains 7404-MAT-DKiD
- Integral extensions
- Normal domains
- Primary decomposition of an ideal
- Dedekind domains
- Ideal class group and Picard group
- Modules over Dedekind domains
- Valuations
Total student workload
30 hours - lecture
30 hours - preparation for lectures and study of literature
30 hours - preparation for exam
Learning outcomes - knowledge
After finishing the course a Ph student should know
* notions of integral extension, Dedekind domain, Picard groups, valuations,
* the most important theorem conrening these notions.
(P8S_WG)
Learning outcomes - skills
After finishing the course a Ph student should be able to:
* give examples of Dedekind domains,
* present a description of finitely generated modules over Dedekind domains.
(P8S_UW)
Expository teaching methods
- informative (conventional) lecture
Prerequisites
Knowledge of basic notions and theorems of from group and ring theory.
Course coordinators
Assessment criteria
Oral exam
Bibliography
S. Balcerzyk, T. Józefiak, Commutative Noetherian and Krull Rings, PWN, Ellis Horwood, 1989.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: