Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
25.08.2010 | Arne B. Sletsj?e? | B63? | Rings and ideals? | Chapter 1; 1.1-1.6, p. 1-4? |
27.08.2010 | Arne B. Sletsj?e? | B63? | More about ideals? | Chapter 1; 1.7-1.16, p. 5-9? |
01.09.2010 | Arne B. Sletsj?e? | B63? | Modules? | Chapter 2; 2.1-2.2, p. 17-20? |
03.09.2010 | Arne B. Sletsj?e? | B63? | Finitely generated modules? | Chapter 2; 2.3-2.8, p. 21-22? |
08.09.2010 | Arne B. Sletsj?e? | B63? | Exact sequences? | Chapter 2; 2.9-2.11, p. 22-24? |
08.09.2010: Voluntary assignment: Chapter 1: Exercises 1, 2, 4, 8, 10, 11
Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
10.09.2010 | Arne B. Sletsj?e? | B63? | Tensor product of modules? | Chapter 2; 2.12-2.15, p. 24-27? |
15.09.2010 | Arne B. Sletsj?e? | B63? | More on tensor products? | Chapter 2; 2.18-2.20, p. 28-31? |
17.09.2010 | Arne B. Sletsj?e? | B63? | Direct limits? | Chapter 2; Exercise14-19, p. 32-33 + Chapter 11, p. 103? |
22.09.2010 | Arne B. Sletsj?e? | B63? | Rings and modules of fractions? | Chapter 3; 3.1-3.7, p. 36-40? |
24.09.2010 | Arne B. Sletsj?e? | B63? | Local properties? | Chapter 3; 3.8-3.10, p. 40-41? |
29.09.2010 | Arne B. Sletsj?e? | B63? | Primary decomposition? | Chapter 4, p. 50- 54? |
29.09.2010: Voluntary assignment: Chapter 2: Exercises 1, 2, 3, 4, 6, 8, 9, 11
Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
01.10.2010 | Arne B. Sletsj?e? | B63? | Integral dependence and the Going-up Theorem? | Chapter 5; 5.0-5.11, p. 59-62? |
06.10.2010 | Arne B. Sletsj?e? | B63? | Integrally closed integral domains and the Going-down Theorem? | Chapter 5; 5.12-5.16, p. 62-64? |
08.10.2010 | Arne B. Sletsj?e? | B63? | Chain conditions? | Chapter 6, p. 74-78? |
13.10.2010 | Arne B. Sletsj?e? | B63? | Noetherian rings and Hilbert?s Basis Theorem? | Chapter 7; 7.1-7.10, p. 80-82? |
15.10.2010 | Arne B. Sletsj?e? | B63? | Primary decomposition in noetherian rings? | Chapter 7; 7.11-7.17, p. 82-84? |
20.10.2010 | Arne B. Sletsj?e? | B63? | Artinian rings? | Chapter 8, p. 89-91? |
20.10.2010: Voluntary assignment: Chapter 3: Exercises 1, 2, 3, 5, Chapter 4: Exercises 1, 2, 4, Chapter 5: Exercises 2, 7
Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
22.10.2010 | Arne B. Sletsj?e? | B63? | Discrete valuation rings? | Chapter 9; 9.1-9.2, p. 93-95? |
27.10.2010 | Arne B. Sletsj?e? | B63? | Completions? | Chapter 10; 10.1-10.5, p. 100-105? |
29.10.2010 | Arne B. Sletsj?e? | B63? | Graded rings and modules? | Chapter 10; 10.6-10.21, p. 105-111? |
03.11.2010 | Arne B. Sletsj?e? | B63? | The associated graded ring? | Chapter 10; 10.22-10.27, p. 111-113? |
04.11.2010: Mandatory assignment
Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
05.11.2010 | Arne B. Sletsj?e? | B63? | Hilbert functions? | Chapter 11; 11.1-11.6, p. 116-119? |
10.11.2010 | Arne B. Sletsj?e? | B63? | Dimension theory of noetherian local rings? | Chapter 11; 11.7-11.21, p. 119-123? |
12.11.2010 | ? | ? | ? | Ingen forelesning i dag? |
17.11.2010 | Arne B. Sletsj?e? | B63? | Regular local rings? | Chapter 11; 11.22-11.24, p. 123-124? |
19.11.2010 | Arne B. Sletsj?e? | B63? | Regne eksamensoppgaver? | 2004 og 2005? |
24.11.2010 | Arne B. Sletsj?e? | B63? | Regne eksamensoppgaver? | 2006 og 2007? |
26.11.2010 | Arne B. Sletsj?e? | B63? | Regne eksamensoppgaver? | 2008 og 2009? |
10.12.2010: Final written exam