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Commutative Algebra

Course
Master’s level
7,5 credits (ECTS)
Study pace
50%
Time
Day
Location
Göteborg
Study form
Campus
Language
English
Duration
-
Application open
-
Application code
GU-11755
Tuition
Full education cost: 14 875 SEK
First payment: 14 875 SEK

No fees are charged for EU and EEA citizens, Swedish residence permit holders and exchange students.

More information about tuition fees

Application closed

About

In this course you will study structural theorems for commutative rings, with applications in algebraic geometry, algebraic number theory, and complex analysis. To construct and study new commutative rings from known ones, you will look at polynomials, fractions, and congruences. We introduce a concept of dimension for commutative rings and relate it to the transcendence degree of extension fields. Finally, you will study Dedekind rings and (if we have time) p-adic numbers. The course is one of the first you will take as a graduate student in mathematics.

For
more information

Prerequisites and selection

Requirements

Knowledge equivalent to 90 credits in mathematics, including the course MMG500 Algebraic Structures.

Selection

All eligible applicants who have applied before the deadline will be granted a place.

Facilities

Mathematical
Sciences is a joint department of Chalmers/University of Gothenburg. Your
education takes place in the spacious and bright premises of Mathematical
Sciences at the Chalmers campus Johanneberg, where there are lecture halls,
computer rooms and group rooms. Here you can also find student lunch room and
reading room, as well as student counsellors and student office.

Maps for
Campus Johanneberg