Messages
Friday Dec 6th is the last lecture. According to the plan I will discuss problems 1,2,4 of the exam Dec 2011. In addition I will comment on the following four particular topics in the course:
Computing
-primary decomposition
-factorizations of Artinian rings
-in rings of fractions
-Hilbert polynomials in graded rings
Kristian R
12/10/2004: 1,2,3,4 (modules, flatness, prime decomposition)
9/12/2005: 1,2,3 (flatness, integral closure, Hilbert function)
11/12/2006: 1,2 (rings of fractions, Hilbert function)
12/12/2007: 1,2 (primary decomposition, rings of fractions)
10/12/2008: 1,2,4 (Integral dependence, primary decomposition, dimension)
9/12/2009: 1,2,3,4 (rings of fractions, prime ideals, noetherian/non-noetherian rings, primary decomposition)
10/12/2010: 1,2,3,4 (flatness/nilpotency, radical ideals, Hilbert polynomial, going up)
9/11/2011: 1,2,4 (integral closure, radical, artinian rings)
11/12/2012: 1,2,3, 4 (torsion, radical and primary decomposition, going up/lying over, Hilbert polynomial)
The textbook "A Term of Commutative Algebra" by Altman and Kleiman has many useful comments and alternative presentations to Atiyah- MacDonalds book. Its digital version is available for free at
http://www.centerofmathematics.com/textbooks/com_algebra/index.html
KR
/studier/emner/matnat/math/MAT4200/h13/compexercise4200.pdf
Deadline 14.30 , Nov 1st.
Department policy regarding compulsory assignment
KR
There will be one compulsory assignement in the course, to be handed in Nov. 1st. The assignement will be posted on this page by October 4th, and will consist of a problem set. You may certainly work together, but must hand in separately.
KR
Velkommen til MAT 4200 Kommutativ Algebra.
Vi bruker og f?lger boka
Atiyah, Macdonald: Introduction to Commutative algebra.
F?rste forelesning Tirsdag 20. August kl 14.15 i B935 NHA.
Vel m?tt!
KR