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E-book
Author Grynkiewicz, David J., 1978-

Title The characterization of finite elasticities : factorization theory in Krull monoids via convex geometry / David J. Grynkiewicz
Published Cham, Switzerland : Springer, 2022

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Description 1 online resource (291 p.)
Series Lecture Notes in Mathematics ; v. 2316
Lecture notes in mathematics (Springer-Verlag) ; 2316.
Contents Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Convex Geometry -- 1.2 Krull Domains, Transfer Krull Monoids and Factorization -- 1.3 Zero-Sum Sequences -- 1.4 Overview of Main Results -- 2 Preliminaries and General Notation -- 2.1 Convex Geometry -- 2.2 Lattices and Partially Ordered Sets -- 2.3 Sequences and Rational Sequences -- 2.4 Arithmetic Invariants for Transfer Krull Monoids -- 2.5 Asymptotic Notation -- 3 Asymptotically Filtered Sequences, Encasement and Boundedness -- 3.1 Asymptotically Filtered Sequences -- 3.2 Encasement and Boundedness
4 Elementary Atoms, Positive Bases and Reay Systems -- 4.1 Basic Non-degeneracy Characterizations -- 4.2 Elementary Atoms and Positive Bases -- 4.3 Reay Systems -- 4.4 -Filtered Sequences, Minimal Encasement and Reay Systems -- 5 Oriented Reay Systems -- 6 Virtual Reay Systems -- 7 Finitary Sets -- 7.1 Core Definitions and Properties -- 7.2 Series Decompositions and Virtualizations -- 7.3 Finiteness Properties of Finitary Sets -- 7.4 Interchangeability and the Structure of X(G0) -- 8 Factorization Theory -- 8.1 Lambert Subsets and Elasticity -- 8.2 The Structure of Atoms and Arithmetic Invariants
Summary 8.3 Transfer Krull Monoids Over Subsets of Finitely Generated Abelian Groups -- Summary -- References -- Index
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed November 1, 2022)
Subject Convex geometry.
Monoids.
Teoría de conjuntos
Superficies convexas
Factorización (Matemáticas)
Convex geometry
Monoids
Geometria convexa.
Monoides.
Genre/Form Electronic books
Llibres electrònics.
Form Electronic book
ISBN 9783031148699
303114869X
9788303114860
8303114867