Arithmetical Properties of Commutative Rings and Monoids

1st Edition

Scott T. Chapman

CRC Press
Published March 1, 2005
Reference - 416 Pages - 4 B/W Illustrations
ISBN 9780824723279 - CAT# DK2988
Series: Lecture Notes in Pure and Applied Mathematics

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Summary

The study of nonunique factorizations of elements into irreducible elements in commutative rings and monoids has emerged as an independent area of research only over the last 30 years and has enjoyed a recent flurry of activity and advancement. This book presents the proceedings of two recent meetings that gathered key researchers from around the world to review recent major results. The first seven chapters demonstrate the diversity of approaches taken in studying nonunique factorizations and serve both as an introduction to factorization theory and as a survey of current trends and results. The remaining chapters reflect research motivated by arithmetical properties of commutative rings and monoids.

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