Information Package / Course Catalogue
| Course Code | : MAT403 |
| 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 |
We need to study commutative algebra to solve many problems in algebra, number theory and algebraic geometry. The aim of this course to give an advanced level of algebra for graduate students. The course also contains standart fundamental algebraic facts
Rings and ideals, transformations, Division rings, zero divisors, units, Prime ideal, Maximal ideal, Radicals, Jacobson radical, Some results on ideals, Modules, submodules and quotient modules Finitely generated modules, Direct sum and direct products of modules, Exact sequences, Tensor products of modules, Tensor producs of algebras, Localization of rings, Extentensions and restrictions on quotient rings, Principal decompositions
| 1. | Be able to solve some problems of ideals in advanced level |
| 2. | To explain the notion of maximal and prime ideals, primary ideals |
| 3. | To perceive subject of tarnsformations of module and congruences |
| 4. | To be explain localization |
| 5. | To be explain fractions |
| 6. | To perceive decompositions |
| 7. | To introduce prime spectrum |
| 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. Nagpaul |
| 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 | 5 | ||||||||||
OÇ-2 | 5 | 5 | 5 | 3 | 5 | 4 | 5 | 5 | ||||||||||
OÇ-3 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | 5 | ||||||||||
OÇ-4 | 5 | 5 | 5 | 4 | 5 | 4 | 5 | 5 | ||||||||||
OÇ-5 | 5 | 5 | 5 | 4 | 5 | 4 | 5 | 5 | ||||||||||
OÇ-6 | 5 | 5 | 5 | 4 | 5 | 4 | 5 | 5 | ||||||||||
OÇ-7 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | 5 | ||||||||||