Academic Catalog

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: Academic Staff Dr. MUHDDN UUZ
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 2360116
The course set 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.