Arithmetical Properties of Commutative Rings and Monoids
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Abelian Groups
advanced factorization theory in mathematics
algebraic number theory
Block Monoids
Cale Base
Category=PBF
commutative algebra
Completely Integrally Closed
Congruence Monoids
dedekind
Dedekind Domain
Divisor Class Group
domain
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Factorization Monoid
Generalized Krull Domain
graded ring structures
HFD
ideal
Inside Factorial
integral
Integral Domains
krull
Krull Domain
Krull Monoids
maximal
Maximal Ideals
Maximal T-ideal
monoid factorization
noetherian
Nonunique Factorizations
Nonzero Nonunit
Nonzero Nonunit Element
Numerical Semigroup
polynomial
prime
Prime Ideal
Prime T-ideal
Proper Principal Ideal
ring theory methods
Unique Factorization Domains
valuation
Valuation Domain
zero-divisor analysis
Product details
- ISBN 9780824723279
- Weight: 740g
- Dimensions: 178 x 254mm
- Publication Date: 01 Mar 2005
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
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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.
Scott T. Chapman, Trinity University, San Antonio, Texas, U.S.A
