MATH - 7451 Topics in Abstract Algebra (3)

Provides a foundation in abstract algebraic structures including groups, rings, fields, and vector spaces. Topics may include one-to-one maps, onto maps, inverse maps, equivalence relations, equivalence classes, groups, Lagrange’s Theorem, normal subgroups, factor groups, group homomorphisms and isomorphisms, Fundamental Theorem of Group Homomorphisms, Fundamental Theorem for Finite Abelian Groups, the Sylow Theorems, rings, ring homomorphisms, polynomial rings, and fields. Prerequisites: MATH-2292, MATH-2449, MATH-2150, and MATH-7133 or the equivalent for each.