INTRODUCTION TO ABSTRACT ALGEBRA, AN: Sets, Groups, Rings, and Fields

This book is a textbook for a semester-long or year-long introductory course in abstract algebra at the upper undergraduate or beginning graduate level.

It treats set theory, group theory, ring and ideal theory, and field theory (including Galois theory), and culminates with a treatment of Dedekind rings, including rings of algebraic integers.

In addition to treating standard topics, it contains material not often dealt with in books at this level. It provides a fresh perspective on the subje...