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SF2737 Commutative Algebra and Algebraic Geometry 7.5 credits

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus SF2737 (Autumn 2010–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Ring and ideal theory, fraction rings, Noetherian rings, Noethers normalization, Nullstellensats, prime spectrum.

Intended learning outcomes

After completing the course the students are expected

  • to be familiar with fundamental results in commuatative algebra
  • to be able to translate algebraic results into geometric statements,
  • to be able to translate geometric results into algebraic statements.

Course Goal: After completing the course the students are expected to be confident with basic notions of ring theory, being familiar with the fundamental results for commutative rings. The student is also expected to be  able to interpret the algebraic constructions and results in geometric terms, and vice versa.

Course disposition

No information inserted

Literature and preparations

Specific prerequisites

SF2729 Groups and rings.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

Miles Reid "Undergraduate Commutative Algebra"

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F

Examination

  • TEN1 - Examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

TEN1 - Examination, 7.5 credits, grade scale: A- F

Other requirements for final grade

Written examn/home assignments (Where slash means and/or, all depending on what we decide to do at a much later stage.)

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF2737

Offered by

Main field of study

Mathematics

Education cycle

Second cycle

Add-on studies

No information inserted