Institutt for matematiske fag, NTNU

Problem sets

Problem Set 1. For Tuesday 05.09. Required background:

After Chapter 9.1-9.3: Problems 1,2,3,7,11.
After Chapter 9.4: Problems 4,5,6,8,9,10,13.
After Chapter 9.5: Problems 12.
Solutions .

Problem Set 2. For Tuesday 26.09. Required background:

Immediately: Problem 1.
After Chapter 10.1: Problems 3,4.
After Chapter 10.2: Problems 2,8,9,13.
After Chapter 10.3: Problem 5.
After Chapter 10.4: Problems 6,7,12,15.
After Chapter 10.5: Problems 11,14.
After Chapter 10.6: Problem 10.
Solutions .

Problem Set 3. For Tuesday 17.10. Required background:

After Chapter 11.3: Problem 4.
After Chapter 14.1: Problem 3.
After Chapter 14.2: Problem 7.
After Chapter 14.3: Problems 1,8,9,10,12,13,15,16.
After Chapter 14.4: Problems 2,11,14.
After Chapter 14.5: Problems 5,6.
Solutions .

Problem Set 4. For Tuesday 31.10. Required background:

After Chapter 10.2: Problem 5.
After Chapter 10.3: Problem 7.
After Chapter 14.3: Problem 4.
After Chapter 14.4: Problems 2,11.
After Chapter 14.5: Problems 1,8.
After Chapter 19.2: Problems 3,12,13,14,16.
After Chapter 19.3: Problems 6,9,10,15,17.
Solutions .

Problem Set 5. For Friday 10.11. Required background:

After Chapter 10.2: Problem 6.
After Chapter 11.3: Problem 1.
After Chapter 14.3: Problem 5.
After Chapter 19.2: Problems 7.
After Chapter 19.3: Problems 8,9,10,11.
After Chapter 20.3: Problems 2,3,4.
Solutions .

Problem Set 6. For Friday 21.11. Required background:

After Chapter 14.2: Problem 1.
After Chapter 14.3: Problem 10.
After Chapter 20.3: Problem 3.
After Chapter 21.2: Problem 8.
After Chapter 21.4: Problems 2,4,6,7,9,11.
After Chapter 21.5: Problems 5,12.
Solutions .

Repetition exam . For Friday 24.11. Assume that all rings given in the statements of the problems are unital. Required background:

After Chapter 10.4: Problem 2(b).
After Chapter 14.3: Problem 3(a), 3(b).
After Chapter 14.4: Problem 2(d).
After Chapter 19.2: Problem 4(a), 4(b).
After Chapter 19.3: Problems 2(a), 2(c).
After Chapter 20.3: Problem 1.
After Chapter 21.2: Problem 3(c).
Solutions