Description |
1 online resource (291 p.) |
Series |
Lecture Notes in Mathematics ; v. 2316 |
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Lecture notes in mathematics (Springer-Verlag) ; 2316.
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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 |
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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.
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Monoids.
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Teoría de conjuntos
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Superficies convexas
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Factorización (Matemáticas)
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Convex geometry
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Monoids
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Geometria convexa.
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Monoides.
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Genre/Form |
Electronic books
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Llibres electrònics.
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Form |
Electronic book
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ISBN |
9783031148699 |
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303114869X |
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9788303114860 |
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8303114867 |
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