MATH268Undergraduate
Abstract Algebra II
Printed in the catalogue as ABSTRACT ALGEBRA II
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.
Where it sits in a curriculum
Programs whose published curriculum lists this course, and the term it falls in. Your own curriculum is the one that counts.
- MathematicsYear 2, Spring semester
- Mathematics EducationYear 2, Spring semester
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