MATH 512 Abstract Algebra 2
An introduction to the theory of rings, including integral domains, division rings, and fields. Quotient fields of integral domains. Homomorphisms, ideals, and quotient structures. Factorization in commutative rings. Polynomial rings and field extensions. Aspects of Galois theory. Prerequisite: MATH 411 or MATH 511, or permission of the department chairperson. Not open to students who have credit in MATH 412.