News
Exam 2 ReviewGeschrieben am 01.04.25 von Pascal Kattler The exam review will be this Thursday (03.04.) 14:00 pm - 15:00 pm in lecture hall 2 (Hörsaal II) in building E2.5.
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Proseminar/Seminar "Generating functions"Geschrieben am 18.03.25 von Gabriela Weitze-Schmithuesen Dear participants, next semester I will give a proseminar/seminar about "Generating Functions" which is intended to fit e.g. for the participants of the algebra lecture. You can find the announcement with a description of the seminar in the CMS. The Preliminary discussion will be tomorrow at 1pm… Weiterlesen Dear participants, next semester I will give a proseminar/seminar about "Generating Functions" which is intended to fit e.g. for the participants of the algebra lecture. You can find the announcement with a description of the seminar in the CMS. The Preliminary discussion will be tomorrow at 1pm in SR 10. If you cannot attend the session tomorrow but you are interested to attend the seminar, please do not hesitate to send me an email. Best, Gabriela Weitze-Schmithüsen |
Script of the lecture availableGeschrieben am 16.03.25 von Gabriela Weitze-Schmithuesen Dear Participants, there is now a script of the lecture available which was written by Antonio Ferrigno. Maybe this is e.g. helpful for the preparation of the second exam. You find it under: Informationen --> Materialien --> Script of the lecture (in the middle of the page). Best, Gabriela… Weiterlesen Dear Participants, there is now a script of the lecture available which was written by Antonio Ferrigno. Maybe this is e.g. helpful for the preparation of the second exam. You find it under: Informationen --> Materialien --> Script of the lecture (in the middle of the page). Best, Gabriela Weitze-Schmithüsen |
Results of the exam now in the LSFGeschrieben am 21.02.25 von Manuel Kany Dear participants, we finished marking the Algebra exam and you can now see your grade in the LSF. Have a nice holiday! Manuel
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Exam ReviewGeschrieben am 19.02.25 von Gabriela Weitze-Schmithuesen The exam review will be this Friday (21.2.) 10:15am - 11am in SR 10 in building E2.4. |
ExamGeschrieben am 14.02.25 von Pascal Kattler Dear participants,
You are allowed to bring one (!) handwritten sheet for the exam. (You write on both sides of the sheet)
Best Pascal Kattler |
Registeration for the examGeschrieben am 10.02.25 von Gabriela Weitze-Schmithuesen Dear Participants, IMPORTANT: if you want to write the exam next week please do not hesitate to register TODAY (one week before the exam). Sincerely, Gabriela Weitze-Schmithüsen |
Inquiry of a student from our lecture: Interested in a seminar on topology next summer?Geschrieben am 17.12.24 von Gabriela Weitze-Schmithuesen Inquiry regarding a possible seminar in the upcoming summer semester: Who would be interested in a seminar on Algebraic Topology in the summer semester? There is a possibility that Professor Lazić will offer this again if there is sufficient interest. I have put the list of topics of the… Weiterlesen Inquiry regarding a possible seminar in the upcoming summer semester: Who would be interested in a seminar on Algebraic Topology in the summer semester? There is a possibility that Professor Lazić will offer this again if there is sufficient interest. I have put the list of topics of the seminar held in 2023/24 here in the cms into materials/others. If you are interested, please send an email to Mr. Philipp Weisang (email: philipp.weisang1@gmail.com). He can also provide you with more information about it.
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Anfrage zu einem möglichen Seminar im kommenden Sommersemester:
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ExamGeschrieben am 06.11.24 von Gabriela Weitze-Schmithuesen Dear participants, here is as promised the decision about the type of the exams: They will be written exams. The dates are 17-02-2025 and 26-03-2025. Gabriela Weitze-Schmithüsen |
Algebra
About the course
The course provides an introduction to the basics of Algebra and algebraic structures such as groups, rings and fields. The goal for the end of the semester is to teach about algebraic equations and solvability of polynomial by radicals using Galois theory. In particular, the course will cover the following topics:
- elementary category theory;
- group operations, Sylow-Theorems and solvable groups;
- theory of rings and ideals;
- algebraic and transcendental field extensions, degree of a field extension, Galois theory and solvability by radicals.
Prerequisites
Linear algebra 1 and 2.
Dates
Lectures
There will be two classes each per week. The lecture starts in the first week of the semester, on Wednesday, 16 October 2023 at 14:15 in Hörsaal IV (building E2.4).
- Wednesdays: 14:15 - 15:45 in building E2.4, Hörsaal IV;
- Thursdays: 10:15 - 11:45 in building E2.4, Hörsaal IV.
Problem session
There will be one problem session per week.
Exams
- 17.2.2025, 9:00 - 12:00 in HS III
- 26.3.2025, 9:00 - 12:00 in HS III
Assignments and exam criteria
There will be a weekly homework assignment. Students may team up in groups of three.
The solutions of the weekly homework will be corrected and graded.
Team
Lecturer Prof. Dr. Gabriela Weitze-Schmithüsen
Office hours: Wednesday, 4:15 - 5:00
Assistant Pascal Kattler
Office hours: Wednesday, 13:00 - 14:00
Literature
Our Library has compiled an online collection of books for your convenience.
Additional Literature
- Ebbinghaus: "Einführung in die Mengenlehre", Springer 2021: https://link.springer.com/book/10.1007/978-3-662-63866-8
- Jech: "Set theory", Springer 2003: https://link.springer.com/book/10.1007/3-540-44761-X