MATH268 ABSTRACT ALGEBRA II
| Course Code: |
2360268 |
| METU Credit (Theoretical-Laboratory hours/week): |
4(3-2) |
| ECTS Credit: |
7.5 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Undergraduate |
| Course Coordinator: |
|
| Offered Semester: |
Fall and Spring Semesters. |
Course Content
Rings. integral domains. fields. Subrings and ideals. Quotient rings. Ring homomorphisms. Prime and maximal ideals. Field of fractions. Principal ideal domains. Euclidean domains. Unique factorization domains. Polynomial rings: Factorization in polynomial rings. Euclidean algorithm in polynomial rings over fields. Field Extensions. extension degrees. algebraic and transcendental elements. Geometric constructions. Finite Fields.
