MATH367 ABSTRACT ALGEBRA
| Course Code: |
2360367 |
| METU Credit (Theoretical-Laboratory hours/week): |
4(3-2) |
| ECTS Credit: |
9.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Undergraduate |
| Course Coordinator: |
Lecturer Dr. MUHÝDDÝN UÐUZ |
| Offered Semester: |
Fall Semesters. |
| Prerequisite: |
Set 1: 2360116
Set 2: 2360267 |
| One of the sets above should be completed before taking
MATH367 ABSTRACT ALGEBRA . |
Course Content
Groups. Isomorphism theorems, direct pro-ducts. Groups acting on sets. Class equation. Statements of Sylow theorems and the F.T. on finite abelian groups. Rings, isomorphism theorems. Prime and maximal ideals. Integral domains, field of fractions. Euclidean domains, PIDs, UFDs. Polynomials, polynomials in several variables. Field extensions. Impossibility of certain geometric constructions. Finite fields.
