Course content

Introduction to commutative algebra. Noetherian rings and modules. Local algebra and primary decomposition. The course may also include subjects from non-commutative algebra such as group and representation theory.

Learning outcome

The course is a comprehensive introduction to algebra. It is meant to give students a foundation for further studies in algebra and algebraic geometry.

Admission

PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Prerequisites

Formal prerequisite knowledge

None.

Recommended previous knowledge

Overlapping courses

10 credits with MAT3200 – Commutative algebra (discontinued).

10 credits with MA251/351.

10 credits with MAT4200 – Commutative Algebra.

*The information about the overlaps is not complete. Contact the Department for more information.

Teaching

4 hours of lectures/exercises per week.

Examination

One compulsory assignment has to be handed in and approved. Final mark based on written examination at the end of the semester.


Rules for compulsory assignments at the Department of Mathematics (norwegian only)

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who due to illness or other valid reason of absence were unable to sit for their final exams may apply for participation in deferred examinations. Deferred examinations are arranged either later in the same semester or early in the semester following the exam in question. Documentation of valid reasons for absence from the regular exam must be submitted upon application to participate in deferred examinations.

Students who have failed an exam, who withdraw during an exam, and students who wish to retake an exam to achieve a better grade may not participate in deferred exams, but may retake the exam when it is regularly scheduled.

Information about deferred and new examination (also called repeat examination) is found here

More information about examination at the Faculty of Mathematics and Natural Sciences can be found here

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Facts about this course

Credits
10
Level
PhD
Teaching
Autumn 2009

This version of the course was held for the last time Autumn 2009. MAT4200 – Commutative Algebra will still be held.

Examination
Autumn 2009
Teaching language
English

The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.