News
ExamWritten on 20.02.24 by Simon Brandhorst Dear students, the exam is graded and the grades are uploaded. Best, Your AlgebraTeam.

Lecture 17.01. onlineWritten on 16.01.24 (last change on 18.01.24) by Simon Brandhorst Dear Students, because of the dangerous weather conditions the lecture tomorrow will be online in MSTeams. Here are links to the… Read more Dear Students, because of the dangerous weather conditions the lecture tomorrow will be online in MSTeams. Here are links to the recordings:
https://unisaarlandde.sharepoint.com/sites/MIAGBrandhorst/Freigegebene%20Dokumente/Algebra/Recordings/Nur%20Ansicht/Lecture%20Algebra%2017.01.202420240117_101828Besprechungsaufzeichnung.mp4?web=1 https://unisaarlandde.sharepoint.com/sites/MIAGBrandhorst/Freigegebene%20Dokumente/Algebra/Recordings/Nur%20Ansicht/Lecture%20Algebra%2017.01.202420240117_111324Besprechungsaufzeichnung.mp4?web=1
Best, Simon Brandhorst 
EvaluationWritten on 16.01.24 by Simon Brandhorst Dear students, below you find the link to the evaluation for the lecture and the exercise session. Kind regards, Simon Brandhorst Veranstaltungstitel: Algebra (147531) Evaluationslink: https://qualis.unisaarland.de/eva/?l=147531&p=5nk08c Abschaltdatum (inkl.):… Read more Dear students, below you find the link to the evaluation for the lecture and the exercise session. Kind regards, Simon Brandhorst Veranstaltungstitel: Algebra (147531) Evaluationslink: https://qualis.unisaarland.de/eva/?l=147531&p=5nk08c Abschaltdatum (inkl.): 31.01.2024 Veranstaltungstitel: Algebra (Tutorium) (1475311) Evaluationslink: https://qualis.unisaarland.de/eva/?l=1475311&p=w71whn Abschaltdatum (inkl.): 31.01.2024

Lectures 06.12 and 07.12Written on 04.12.23 (last change on 05.12.23) by Simon Brandhorst Dear All, here is the recording of the lectures in three parts: Here are the lecture notes: You will need to login with MSTeams to see them. Best regards, Simon Brandhorst 
ExamWritten on 22.11.23 (last change on 28.11.23) by Simon Brandhorst Dear Students, we are planning the exam dates: the first exam will be on February 19. from 9am to 1 pm Building E2.4 Seminar Room 6 If you cannot attend one of the exams, because you have another exam… Read more Dear Students, we are planning the exam dates: the first exam will be on February 19. from 9am to 1 pm Building E2.4 Seminar Room 6 If you cannot attend one of the exams, because you have another exam at the same time, let me know by tomorrow. In this case we can try and find another date. The exam has a duration of 3 hours. Usually, you will take part in the first exam. If you fail it, then you can try again with the second exam.
Best, Simon Brandhorst 
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, SylowTheorems and solvable groups;
 Rings and ideals, factorial rings, polynomial rings and the lemma of Gauß;
 Algebraic and transcendental field extensions, degree of a field extension, Galois theory and solvability by radicals.
The course and the problem sessions will be held in English.
Prerequisites
Linear algebra 1 and 2.
Dates
Lectures
There will be two classes of 1h30 each per week. The lecture starts in the first week of the semester, on Wednesday, 25 October 2023 at 10:15 in Hörsaal IV (building E2.4).
 Wednesdays: 10:15  11:45 in building E2.4, Hörsaal IV;
 Thursdays: 10:15  11:45 in building E2.4, Seminarraum 6.
Problem session
There will be one problem session of 2h per week. The first problem session will take place in the third week of the semester, on Tuesday, 7 November 2023 at 10:00 in Seminarraum 6 (building E2.4)
 Tuesdays: 10:00  12:00 in building E2.4, Seminarraum 6.
Exams
the first exam will be on February 19. from 9 am to 1 pm Building E2.4 Seminar Room 6
the second exam will be on April 10. from 9 am to 1 pm Building E2.4 Zeichensaal U.39
Assignments and exam criteria
Starting from the second week of the semester (31.10.2023), students will have as weekly homework to solve 4 exercises to be handed in before the start of the next problem session. Students should team up in a group of two, solve the exercises and hand them in together. The solutions can be either
 written digitally (exported in .pdf format) and submitted online on CMS before the deadline;
 handwritten and delivered directly to the tutor at the beginning of the next problem session.
NOTE: for online submission, please remember to submit as a team.
The solutions of the weekly homework will be corrected and graded.
Each student should present the solution to one exercise during the semester. The choice of the week and of the exercise from the exercise sheets is up to them, as long as there are no other students with the same choices. Each student presenting a solution to an exercise should meet the teaching assistant for this lecture prior the next problem session to discuss their solution.
The final exam will be a written exam. In order to register for the final exam, the students must:
 obtain at least 50% of the total points of the exercise sheets;
 present the solution of one exercise during the semester.
Team
Lecturer Jun. Prof. Dr. Simon Brandhorst
Office hours Fridays: 11:30  12:30 in building E2.4, office 2.22.
Assistant Stevell Muller
Office hours Mondays: 11:00  12:00 in building E2.4, office 2.21.
Tutor Bastian Heinen
Office hours Mondays: 13:00  14:00 in building E2.4, third floor, Gruppenarbeitsraum
To enter in contact with a member of the team, you can meet them during office hours or write on the Forum. Alternatively, the email addresses are available in the tab Information>Team.
Literature
Our Library has compiled an online collection of books for your convenience.