240053 Algebra II (V) (SoSe 2018)
Contents, comment
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Die Veranstaltung ist eine Fortsetzung der Algebra I und behandelt zum Beispiel Moduln über Ringen (als Verallgemeinerung von Vektorräumen über Körpern). Insbesondere werden die endlich erzeugten Moduln über Hauptidealringen klassifiziert, sowie halbeinfache Moduln und halbeinfache Ringe behandelt. Einen guten Einblick gibt das Buch "Algebra" von Jantzen und Schwermer, welches auch für Teile der Vorlesung als Grundlage dient. Zur Auflockerung sind kleiner Ausflüge in die kommutative Algebra aber auch in die Nichtstandardanalysis geplant.
Requirements for participation, required level
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Empfohlene Voraussetzung sind Grundkenntnisse der Algebra (über Gruppen, Ringe, Körper) entsprechend der Algebra I.
Bibliography
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Jacobson, Nathan; Basic Algebra I, II
Jens Carsten Jantzen, Joachim Schwermer; Algebra
Lang, Serge; AlgebraWeitere Literatur wird in der Vorlesung bekanntgegeben.
External comments page
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
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Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-B-PSE-5a Profilierung Strukturierte Ergänzung a (5LP) | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-B-PSE-5b Profilierung Strukturierte Ergänzung b (5LP) | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-B-PSE_ver1 Profilierung Strukturierte Ergänzung | Vorlesung gemäß Modulbeschreibung | Graded examination
|
Student information |
| 24-B-SP Spezialisierung | Vorlesung gemäß Modulbeschreibung | Graded examination
|
Student information |
| 24-SE Strukturierte Ergänzung | Vorlesung 1 | Student information | |
| Vorlesung 2 | Student information | ||
| 24-SP Spezialisierung | Vorlesung gemäß Modulbeschreibung | Graded examination
|
Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
- Registered number: 15
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- Last update basic details/teaching staff:
- Tuesday, January 30, 2018
- Last update times:
- Friday, May 11, 2018
- Last update rooms:
- Friday, May 11, 2018
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Department
- Faculty of Mathematics
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