Algebraic geometry and commutative algebra, 7.5 ECTS

Second level

Facts

Study pace 25%
Study time No tuition
Study form Normal
Language English
Course code MM8019

Syllabus

Special eligibility requirements
90 ECTS credits in Mathematics including Algebra III second level 7,5 ECTS credits or equivalent. English B/English 6 or equivalent.

Description

The course covers rings, ideals, prime ideals, nilpotency, zero divisors, modules, Noetherian rings, Hilbert’s basis theorem, finite extensions and Noetherian normalization, Nullstellensatz, Spec, rings of quotients, primary decomposition. Algebra…

The course covers rings, ideals, prime ideals, nilpotency, zero divisors, modules, Noetherian rings, Hilbert’s basis theorem, finite extensions and Noetherian normalization, Nullstellensatz, Spec, rings of quotients, primary decomposition. Algebraic geometry is the study of solutions of systems of polynomial equations. Commutative algebra is the basic algebraic tool. The course is an introduction to these fields. One example of application is coding theory.

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Area of interests: Science and Mathematics

Science and mathematics help us understand how the world around us is connected – from the origin and structure of the universe, to the development and function of humanity and all other organisms on earth. Scientific knowledge makes it possible …

Science and mathematics help us understand how the world around us is connected – from the origin and structure of the universe, to the development and function of humanity and all other organisms on earth. Scientific knowledge makes it possible to critically examine the credibility of information in different areas of everyday life, society, and the media. As a scientist or mathematician, you will be attractive on a large job market that covers all parts of society and includes everything from pure technology companies to environment and healthcare, as well as research.

More about Science and Mathematics

Subject

Mathematics

As a mathematical theory always implies that certain conclusions hold under certain given conditions, it can in principle say nothing about the physical reality. None the less mathematics has become an indispensable tool for a large number of subjects like astronomy, physics, chemistry, statistics and the technical sciences and in later times also for economy, biology, various social sciences and computor science. The role of mathematics in the applied sciences is both to supply notions for exact and adequate formulations of empirical laws but also from these laws to derive consequences, which can be used to find better models of the reality one has to describe. These tasks have lately become more important. Mathematics is in continual progress by intensive international research, new theories are created and already existing theories are simplified and augmented.

Mathematics

Course events

Autumn 2018

Study pace 25 %
Study time No tuition
Study form Normal
Language English.

Selection: No selection.

Start period: Period 1 - starts during the first half of the semester

Location: Stockholm

Additional information: Application deadline 16 April.

Tuition fee

Tuition fees only concern citizens outside the EU, EES and Switzerland
First instalment: 17500 SEK
Total course/programme fee: 17500 SEK

Tuition fees only concern citizens outside the EU, EES and Switzerland
Appl.code: SU-48111