2021-2022 Graduate Catalog

MATH 612 Abstract Algebra 2

An introduction to the theory of rings, including integral domains, division rings, and fields. Topics include: quotient fields of integral domains, homomorphisms, ideals, quotient structures, factorization in commutative rings, polynomial rings and field extensions, and aspects of Galois theory. Prerequisite: MATH 411 or MATH 511, or permission of the department chairperson.