The Characterization of Finite Elasticities
Language: English
Published by Springer International Publishing, 2022
- Softcover
- New
Condition: New
£ 59.63
Quantity: 1 available
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Develops new convex geometric methods for studying factorizationCharacterizes finite elasticity for Krull monoids with finitely generated class groupExtensively generalizes positive bases in Euclidean spaceThis book develops a new t.
Seller Inventory # 668447916
- Title
- The Characterization of Finite Elasticities
- Author
- David J. Grynkiewicz
- Publisher
- Springer International Publishing
- Publication year
- 2022
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3031148681
- ISBN 13
- 9783031148682
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
This new theory is developed in a self-contained way with the main motivation of its later applications regarding factorization. While factorization into irreducibles, called atoms, generally fails to be unique, there are various measures of how badly this can fail. Among the most important is the elasticity, which measures the ratio between the maximum and minimum number of atoms in any factorization. Having finite elasticity is a key indicator that factorization, while not unique, is not completely wild. Via the developed material in convex geometry, we characterize when finite elasticity holds for any Krull domain with finitely generated class group $G$, with the results extending more generally to transfer Krull monoids.
This book is aimed at researchers in the field but is written to also be accessible for graduate students and general mathematicians.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This new theory is developed in a self-contained way with the main motivation of its later applications regarding factorization. While factorization into irreducibles, called atoms, generally fails to be unique, there are various measures of how badly this can fail. Among the most important is the elasticity, which measures the ratio between the maximum and minimum number of atoms in any factorization. Having finite elasticity is a key indicator that factorization, while not unique, is not completely wild. Via the developed material in convex geometry, we characterize when finite elasticity holds for any Krull domain with finitely generated class group $G$, with the results extending more generally to transfer Krull monoids.
This book is aimed at researchers in the field but is written to also be accessible for graduate students and general mathematicians.
"About the title" may belong to another edition of this title.
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