Mathematics III - Abstract algebra
7.5 credits cr.
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In this course, you will study the algebraic structures groups, rings, fields and vector spaces, and learn to use methods in abstract algebra to solve mathematical and applied problems.
Congratulations! You have been admitted at Stockholm University and we hope that you will enjoy your studies with us.
In order to ensure that your studies begin as smoothly as possible we have compiled a short checklist for the beginning of the semester.
Follow the instructions on wether you have to reply to your offer or not.
Checklist for admitted students
Activate your university account
The first step in being able to register and gain access to all the university's IT services.
Register at your department
Registration can be done in different ways. Read the instructions from your department below.
Read all the information on this page
Here you will find what you need to know before your course or programme starts.
Your seat may be withdrawn if you do not register according to the instructions provided by your department.
Information from the department - courses
Here you can find information about online registration times, our learning platform, and how teaching is affected by the covid-19 pandemic. If you are conditionally admitted or placed on a reserve list, you can read more about that here.
First: Reply to your offer!
If you are offered a place or reserve place in the first notification of selection results, you must reply to it via Universityadmissions.se by 23 July to keep your place!
If you forget to do this, you must apply for the course again (assuming it opens for late application) if you want to take it.
Once you are admitted to a course you must register online via student.ladok.se to keep your place. Online registration opens 9 August, and closes at different times for different courses.
For the following courses the last day for online registration is extra early:
- Mathematics I (only given in Swedish): last day for registration is 23 August.
- Courses in computer science or scientific computing given at KTH, so all courses with a course code beginning in DA or BE except DA4005 and DA5001: last day for registration is 27 August.
For other courses, the last day for online registration is 19 September if the course begins in the first half of the semester and 21 November if it begins in the second half.
Note that you cannot register online for degree project courses in mathematics or computer science, we will register you for these when your project plan has been approved.
Our course pages can be found at kurser.math.su.se.
Teaching during autumn 2021
It is quite common that the student at the time of application has not finished all courses that are given as special eligibility requirements for the course or programme the student has applied for. This will result in the admission status "Conditionally admitted".
The administration of conditions will be carried out just before course start. As long as the condition remains you cannot complete online registration to the courses you will take. If the condition is still in place by course start, and you haven't received any notification about whether or not you'll be allowed to take the course or programme you have applied for, contact our student advisors. If the course is one where online registration closes early, contact us before it closes.
You can also be conditionally admitted because you need to pay a tuition fee. You can find more information on tuition fees here:
Placed on reserve list
If you have a reserve place for a course, we may be able to offer you a spot in which case we will contact you around the start of the semester. If you have a conditional reserve place and are offered a place on the course, you also need to fulfil the condition(s) before you can take your place on the course.
Stockholm University organises a series of welcome activities that stretch over a few weeks at the beginning of each semester. The programme is voluntary (attendance is optional) and includes Arrival Service at the airport and an Orientation Day, see more details about these events below.
Your department may also organise activities for welcoming international students. More information will be provided by your specific department.
Find your way on campus
Stockholm University's main campus is in the Frescati area, north of the city centre. While most of our departments and offices are located here, there are also campus areas in other parts of the city.
For new international students
This course is one of the requirements for eligibility to our Master's Programme in Mathematics.
The course covers: Group theory: sub groups, cosets, Lagrange's theorem, homomorphisms, normal subgroups and quotient groups, permutation groups, simple groups. Rings and fields: matrix rings, quaternions, ideals and homomorphisms, quotient rings, polynomial rings, principal ideal rings, Euclidean rings and unique factorization. Fields and vector spaces: finite-dimensional vector spaces, algebraic field extensions, finite fields.
The course consists of one element.
Instruction is given in the form of lectures and exercises.
The course is assessed through written and oral examination.
Assessment when the course is given as a distance course
Even when the course is given as a distance course, the exam is on campus. If you cannot come to Stockholm for the exam, you may be able to arrange to take the exam elsewhere, e.g. at another university or (if you are not in Sweden) at a Swedish embassy or consulate.
A list of examiners can be found on
ScheduleThe schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.
Note that the course literature can be changed up to two months before the start of the course.
Dummit & Foote: Abstract Algebra. John Wiley & Sons Inc.