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.
