Abstract Algebra
Course Numbers:
Abstract Algebra I: MATH 4350
Abstract Algebra II: MATH 4360
Abstract Algebra I:
This course is an introduction to the concepts of groups and rings from modern abstract algebra. Group theoretic topics include: modular arithmetic, groups, cyclic groups, permutation groups, normal groups, factor groups, group homomorphism and isomorphism, cosets, Lagrane's theorem, and external (internal) direct products. Ring theoretic topics include: rings, integral domain, ideals, factor rings, ring homomorphism and isomorphism, factorizations, divisibility, and fields.
Abstract Algebra II:
This course, which is a continuation of Math 4350, further develops the theory of groups and rings and introduces the concept of field theory. Group theoretic topics include: group theory, Sylow¿s theorem, symmetric groups, Burnsie¿s theorem. Ring theoretic topics include: ring theory, polynomial rings, factorizations, and divisibility. Field theoretic topics include: extension fields, algebraic extension, finite fields, and Galois theory.
Abstract Algebra
Course Numbers:
Abstract Algebra I: MATH 4350
Abstract Algebra II: MATH 4360
Abstract Algebra I & II Textbook Information:
Abstract Algebra
Course Numbers:
Abstract Algebra I: MATH 4350
Abstract Algebra II: MATH 4360
Abstract Algebra I:
Abstract Algebra II: