MATH-4010

Abstract Algebra

Groups, rings, polynomial rings, fields, integral domains, with emphasis on group theory; homomorphisms and isomorphisms; normal subgroups, cosets, ideals, modules; quotient groups and quotient rings; other topics including algebraic aspects of set theory, of relations and functions, and of number theory. Prerequisite: a readiness to reason abstractly; MATH-4100 is desirable but not required. Spring term annually.

4 credit hours