Honors Algebra III

(3-5 Credit Hours) · Undergraduate

The modern axiomatic approach to mathematics is demonstrated in the study of the fundamental theory of abstract algebraic structures. Group theory, subgroups, generators, Lagrange's theorem. Normal subgroups, homomorphisms, isomorphism theorems. Ring theory, integral domains. Ideals, homomorphisms and isomorphism theorems. Polynomial rings, Euclidean algorithm, fields of fractions