The Characterization of Finite Elasticities
Language: English
Published by SPRINGER VERLAG GMBH, 2022
- Softcover
- New
Seller: Agapea Libros, Malaga, MA, SpainAgapea Libros
AbeBooks seller since September 15, 2009
Condition: New
£ 75.64
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Add to basketItem description from seller
Idioma/Language: Inglés. This book develops a new theory in convex geometry, generalizing positive bases and related to Carathéordory?s Theorem by combining convex geometry, the combinatorics of infinite subsets of lattice points, and the arithmetic of transfer Krull monoids (the latter broadly generalizing the ubiquitous class of Krull domains in commutative algebra) 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. *** Nota: Los envíos a España peninsular, Baleares y Canarias se realizan a través de mensajería urgente. No aceptamos pedidos con destino a Ceuta y Melilla.…
Seller Inventory # 22750793
- Title
- The Characterization of Finite Elasticities
- Author
- Grynkiewicz, David J.
- Publisher
- SPRINGER VERLAG GMBH
- Publication year
- 2022
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3031148681
- ISBN 13
- 9783031148682
- Item weight
- 456 grams
- Seller catalogs
- Novela y Narrativa en Inglés
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.
Agapea Libros
Malaga, MA, Spain
AbeBooks seller since September 15, 2009
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