MATH503 ALGEBRA I
| Course Code: | 2360503 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Assoc.Prof.Dr. EBRU SOLAK |
| Offered Semester: | Fall Semesters. |
Course Objectives
This is the first part of a classical graduate algebra course that covers some basic concepts in the theory of groups and rings.
For more information, visit the course webpage.
Course Content
Groups quotient groups, isomorphism theorems, alternating and dihedral groups, direct products, free groups, generators and relations, free abelian groups, actions. Sylow theorems, nilpotent and solvable groups, normal and subnormal series. Rings, ring homomorphisms, ideals, factorization in commutative rings, rings of quotients, localization, principle ideal domains, Eucladian domains, unique factorization domains, polynomials and formal power series, factorization in polynomial rings.