Students in this course study some abstract algebraic structures. The main structures are groups and rings. Topics include groups and subgroups, cyclic groups, permutation groups, group homomorphisms and quotient groups, rings and ring homomorphisms, integral domains, ideals and quotient rings, prime and maximal ideals, and fields. Prerequisite: MATH 2210 (min grade C) and MATH 2200 (min grade C) or MATH 2700 (min grade C) or MATH 3070 (min grade C) or MATH 3080 (min grade C) or MATH 3120 (min grade C)
Students in this course study some abstract algebraic structures. The main structures are groups and rings. Topics include groups and subgroups, cyclic groups, permutation groups, group homomorphisms and quotient groups, rings and ring homomorphisms, integral domains, ideals and quotient rings, prime and maximal ideals, and fields. Prerequisite: MATH 2210 (min grade C) and MATH 2200 (min grade C) or MATH 2700 (min grade C) or MATH 3070 (min grade C) or MATH 3080 (min grade C) or MATH 3120 (min grade C)