Information Package / Course Catalogue
| Course Code | : MAT404 |
| Course Type | : Area Elective |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 2 |
| Prt. | : 2 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
This course is continuotion of MAT 403. To introduce Advance level of Commutative Algebra and give relations to Algebraic Geometry
Summary course of Commutative Algebra I, Exact dependance and evaluations, Going up theorem, domains of fully closed, going down theorems, Rings of evaluation, Chain conditions, Noether rings and principal decomposition of Noether rings, Artin rings, Discrete valuation rings, Dedekind domains, Proportional ideals, Topologies and completions, Progresive ring and modules, Dimension theory, Hilbert functions
| 1. | To introduce some facts that necessary for algebraic geometry on advance algebra |
| 2. | To construct background for obtaining some deep theorems |
| 3. | To teach how to optain chain conditions from finite conditions |
| 4. | To teach how useful Noetherian rings as an aplication of chain conditions |
| 5. | To teach Artinian rings as a dualization of Noether rings |
| 6. | To make attraction of some rings that are important for primary decomposition theorems |
| 7. | To give geometrical meaning of Dedekind condition |
| 1. | Atiyah M.F., MacDonald I.G., Çevirenler: Harmancı A., Tutalar H.İ., Akgül M., Taş K. “Değişmeli Cebire Giriş” (Introduction to Commutative Algebra), Hacettepe Üniv. Fen. Fak.Yayınları (1980) |
| 2. | Algebra, Thomas W. Hungerford, Holt,Rinehart and Winston Inc. 1974 |
| 3. | Abstract Algebra, I.N. Herstein, University of Chicago, New York |
| 4. | Basic Abstract Algebra, P. B. Bhattacharya, S. K. Jain, S. R. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %6 |
| Quiz | 2 | %10 |
| Midterm Examination | 1 | %24 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 2 | 28 |
| Lecture - Practice | 14 | 0 | 2 | 28 |
| Assignment | 1 | 0 | 10 | 10 |
| Quiz | 2 | 10 | 1 | 22 |
| Midterm Examination | 1 | 25 | 2 | 27 |
| Final Examination | 1 | 33 | 2 | 35 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | PÇ-16 | PÇ-17 | PÇ-18 | |
OÇ-1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | |||||||||||
OÇ-2 | 5 | 5 | 5 | 3 | 5 | 5 | 5 | |||||||||||
OÇ-3 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | |||||||||||
OÇ-4 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | |||||||||||
OÇ-5 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | |||||||||||
OÇ-6 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | |||||||||||
OÇ-7 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | |||||||||||