Content and learning outcomes
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.
Literature and preparations
SF2729 Groups and rings.
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.
- 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
Opportunity to raise an approved grade via renewed examination
- 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 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