Problems for the 5th edition of Gilbert and Gilbert book
These problems are from the textbook Elements of Modern Algebra by J.
Gilbert and L. Gilbert, 5th edition.
- Problems for Test #1 (tentative):
- Section 1.2: 1-10;
- Section 1.4: 1-9;
- Section 1.6: 1-3, 5-6;
- Section 2.2: 3-5, 21-22, 26-27, 36;
- Section 2.3: 2-17, 19-20, 23, 26, 34;
- Section 2.4: 2-3, 5, 7, 9-10;
- Section 2.5: 1-6, 19-21;
- Section 3.1:
1-10 decide group or monoid;
11-12: is it monoid?;
15-26: decide group or monoid;
13-14 and 27-30: as they are in textbook.
- Problems for Test #2 (tentative):
- Section 3.1: 1-31, 38-49, 54-55;
- Section 3.2: 1-5, 8-12, 17-19, 21, 24-25, 28-34;
- Section 3.3: 1-4, 7-11, 19-21, 24, 26, 29.
- Problems for Test #3 (tentative):
- Section 3.1: 1-31, 38-49, 54-55;
- Section 3.2: 1-5, 8-12, 17-19, 21, 24-25, 28-34;
- Section 3.3: 1-4, 7-11, 19-21, 24, 26, 29;
- Section 3.4: 1-4, 6, 10-11, 13-14, 16, 19, 21-27, 29;
- Section 3.5: 1-2, 4-5, 9, 11-13, 15;
- Section 4.1: 1-8, 13, 15.
- Problems for Test #4 (tentative):
- Section 2.8: 1-25;
- Section 3.5: 1-2, 4-15;
- Section 4.1: 1-20;
- Section 4.4: 1-2, 6-12, 14-28, 30-31, 38-39, 43.
- Problems for the exam (tentative):
all exercises listed above for
previous tests plus the following exercises:
- Section 4.5: 1-11, 13-19, 22;
- Section 5.1: 1-2, 7-8, 11-20, 22, 26-27, 30, 34-36, 40;
- Section 5.2: 1, 15, 18-19;
- Section 6.1: 1-3, 5-8, 10-14, 19, 21-24;
- Section 6.2: 6, 8, 12, 16, 19;
- Section 6.4: 1-2, 5-6, 9-10;
- Section 8.1: 1-11, 13-17;
- Section 8.2: 1-21;
- Section 8.5: 1-2.