Course - Commutative Algebra - MA8202
Commutative Algebra
About
About the course
Course content
The course is taught every second year, if there are enough students. Next time Fall 2010. If there are few students, there will be guided self-study.
The contents of the course may vary, but it will have a kernel consisting of ideals, modules, chain conditions, the spectrum of a ring, Hilberts Nullestellensatz, associated primes and decomposition theorems, integral elements and rings, valuation rings, Dedekind rings, graded rings, dimension theory. It can also include regular sequences, Koszul complex, and finally regular, Cohen-Macaulay and Gorenstein rings.
Learning outcome
Give the student an introduction to commutative algebra.
Learning methods and activities
Lectures, possibly as a guided self-study.
Recommended previous knowledge
MA3201 Rings and modules, MA3202 Commutative algebra and Galois theory.
Course materials
Matsumura, H.: Commutative ring theory, Cambridge Studies in Advanced Mathematics, 8.
Subject areas
- Algebra