This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites

Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for s

The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in

Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem,

Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.