MATH 513B - Introduction to Modern Algebra

Fundamental theorem on finite abelian groups and its consequences. Cauchy theorem and first Sylow theorem. Polynomial rings. UFD and Euclidean domains. Maximal ideals. Algebraic extensions and splitting fields. Fundamental theorem of Galois theory.

Prerequisites
Prereq: 513A.

Credits: (4)

Ohio University

Ohio University

MATH 513B - Introduction to Modern Algebra