MAT 502 Cebir II

Ders saatleri:

Pazartesi 13:00-13:50, Perşembe 14:00-15:50

Kitap:

"Algebra", T. W. Hungerford, Springer-Verlag, 1974.

1. öDEV:

sayfa 178: 2, 4, 5, 9, 12, 14, 15.

2. öDEV:

sayfa 188-189: 1, 2, 10, 13; sayfa 226: 1,2.

3. öDEV:

sayfa 166: 5, 10, sayfa 240-241: 2, 8, 9, 10, 12, 13, 14, 15, 16

4. öDEV:

sayfa 267den başlayarak: 2, 16, 17, 20, 23

Önemli Tarihler:

29 Mart 2018: Birinci arasınav

3 Mayıs 2018: İkinci arasınav

Derste yapılanlar:

1. hafta: Modules, homomorphisms and short exact sequences

2. hafta: Free modules, classification of free modules, modules with invariant dimension property, projective modules

3. hafta: Modules over a principal ideal domain, classification of finitely generated modules over a principal ideal domain

4. hafta: Factorizations in polynomial rings, Eisenstein Criterion

5. hafta: Introduction to field extensions, algebraic and transcendental elements

6. hafta: Extension of isomorphisms of fields, Midterm 1

7. hafta: Galois group of a field extension, fundamental theorem of Galois Theory

8. hafta: Dimension relations in Galois theory and stable extensions

9. hafta: Proof of fundamental theorem of Galois theory, examples

10. hafta: Splitting fields, algebraic closures and normality

11. hafta: Preparation to midterm

12. hafta: Finite fields

13. hafta: Radical extensions

14. hafta: Classification of extensions which are solvable by radicals

Son güncelleme: 17.05.2018