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Algebra II
MAT 5313-01F Summer I, 2006 Instructor: J. Iovino |
Prerequisites
Basic group theory, including, the fundamental isomorphism theorems and the Sylow Theorems. This material is covered in Algebra I (MAT 5173).Content
The course is divided into two parts:Material covered
6/6: Section III-1.6/7: Section III-2.
6/8: Section III-3.
6/12: Section III-4.
6/13: Started Section III-5
6/14: Finished Section III-5.
6/15: Section III-9.
6/19: Section III-10.
6/20: Finished Section III-10. Started Section III-13.
6/21: Sections III-11 and III-13.
6/22: Section III-13. Existence of maximal ideals, Zorn's Lemma and transfinite induction. 6/26: More on maximal ideals.
6/27: Finished Section III-3.
6/29: Sections XIII-2 and XIII-3.
7/3: Section XIII-3.
7/5: Finished Section XIII-3.
7/6: Section XIII-4.
Exercises
Due 6/13: Page 89: 1, 3, 4, 5. Page 94: 1, 3, 4, 5. Page 94: 2, 7.Due 6/20: Page 101: 3, 8. Page 104: 6. Page 116: 1-5.
Due 6/27: Page 120: 1, 5, 7, 8. Page 128: 5, 6, 7, 11. Note: This assignment was postponed until 6/28.
Due 7/5: Page 442: 1, 3. Page 444: 1, 7.
Due 7/7: Page 442: 5, 6. Page 444: 8, 10.
Textbook
Garrett Birkhoff and Saunders MacLane, Algebra. Chelsea Pub Co, 1993, ISBN:0828403309.Evaluation
There will be five problem sets; each of them will be worth 20% of the grade. Your solutions must be the result of your individual work. All the University regulations regarding academic integrity apply.How to contact the instructor
Office: SB 4.02.50
Telephone: (210) 458-5531
Email: iovino at math.utsa.edu
Office hours: M, W, 4-5 pm, or by appointment.
