MATH 405 - Abstract Algebra

An introduction to some of the fundamental algebraic structures with emphasis on the axiomatic method. Topics include mathematical induction, equivalence relations, divisibility, congruence relations, rings, integral domains, fields, polynomials rings, factorization, groups, abelian groups, cyclic groups, permutation groups, homomorphism and isomorphism, cosets, quotient structures, extension fields. Prerequisite: MATH 245