V3A1/F4A1 Algebra I - summer term 2023


Dr. Andreas Mihatsch

Contact:
Dr. Johannes Anschütz
Endenicher Allee 60 · Zimmer 4.027
Tel.: 0228-73-62216
E-mail: ja(add @math.uni-bonn.de)

Zeit und Ort

Monday, 16-18h, Großer Hörsaal
Thursday, 14-16h, Großer Hörsaal
First lecture: Monday, 3.4.2023
End of lecture period: 14.7.2023
No lecture on: 10.4., 1.5., 18.5., 29.5., 1.6., 8.6.


Content

Commutative algebra deals with commutative rings and their modules. Examples of commutative rings are rings of functions in algebraic geometry or rings of integral elements in number theory. In particular, commutative algebra has important applications in these areas. Examples of modules over commutative rings are vector spaces over fields, but in general not every module admits a basis. This makes their theory much richer as many examples during the course will show. Topics to be covered include: Principal ideal domains and their finitely generated modules, integral domains and divisibility, polynomial rings, localisations, tensor products, ... .


Literature


Exercise sheets


Exercise sessions

In addition to the lecture there are weekly exercise sessions. Registration to the exercise sessions is via eCampus during the first week of the lectures. The exercise sessions themselves start in the second week of lectures. The registration via eCampus does NOT replace the registration to the course Algebra via Basis.

Group Time and place Tutor
Group 1 Monday, 8-10h, SR0.007 Chenji Fu
Group 2 Monday, 10-12h, SR0.007 Thomas Manopulo
Group 3 Tuesday, 10-12h, SR0.007 Max von Consbruch
Group 4 Tuesday, 12-14h, SR0.007 Tanja Helme
Group 5 Wednesday, 16-18h, SR0.007 Kim Lukas Kiehn
Group 6 Thursday, 8-10h, SR0.007 Tim Kuppel
The exercise sessions will take place in the buildings of the Mathematisches Zentrum, Endenicher Allee 60.


Exam

After the end of the lectures there will be a written exam. The dates will be 31.07.2023, 9-12h (Großer Hörsaal and kleiner Hörsaal) and 27.09.2023 (9-12h, kleiner Hörsaal), Revision for the second exam: 28.9., 14-15h, kleiner Hösaal. All necessary information will be provided via this webpage during the semester. For participation in the exam a registration via Basis is necessary as well a sucessful participation in the weekly exercise sessions (more than 50% of all points). General informations to exams can be found here for bachelor students and here for master students.


Last modified: April 2023, Johannes Anschütz