Catalogue 2013 - 2014

MATH 418 Introduction to Modern Algebra

Credits

3 cr.

Prerequisite

MATH 251 or MATH 282 or permission.

Course Description

This is an introduction to the axiomatic study of the algebraic structures of groups, rings, and fields. Topics include groups, subgroups, permutation groups, cosets, normal subgroups, group homomorphisms, factor groups, rings, subrings, polynomial rings, ideals, ring homomorphisms, factor rings, integral domains, fields, and the Fundamental Theorem of Algebra. There is an emphasis on writing formally correct mathematical proofs.

Distribution

MR

Offered

in the fall semesters.