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The characterization of finite elasticities : factorization theory in Krull monoids via convex geometry / / David J. Grynkiewicz
The characterization of finite elasticities : factorization theory in Krull monoids via convex geometry / / David J. Grynkiewicz
Autore Grynkiewicz David J. <1978->
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (291 pages)
Disciplina 516.08
Collana Lecture notes in mathematics
Soggetto topico Convex geometry
Monoids
Geometria convexa
Monoides
Soggetto genere / forma Llibres electrònics
ISBN 9783031148699
9783031148682
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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.
Record Nr. UNISA-996495168103316
Grynkiewicz David J. <1978->  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
The characterization of finite elasticities : factorization theory in Krull monoids via convex geometry / / David J. Grynkiewicz
The characterization of finite elasticities : factorization theory in Krull monoids via convex geometry / / David J. Grynkiewicz
Autore Grynkiewicz David J. <1978->
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (291 pages)
Disciplina 516.08
Collana Lecture notes in mathematics
Soggetto topico Convex geometry
Monoids
Geometria convexa
Monoides
Soggetto genere / forma Llibres electrònics
ISBN 9783031148699
9783031148682
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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.
Record Nr. UNINA-9910624377103321
Grynkiewicz David J. <1978->  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Rings, monoids and module theory : AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6-9 / / Ayman Badawi and Jim Coykendall, editors
Rings, monoids and module theory : AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6-9 / / Ayman Badawi and Jim Coykendall, editors
Pubbl/distr/stampa Singapore : , : Springer, , [2022]
Descrizione fisica 1 online resource (317 pages)
Disciplina 512.74
Collana Springer Proceedings in Mathematics & Statistics
Soggetto topico Modules (Algebra)
Anells (Àlgebra)
Monoides
Mòduls (Àlgebra)
Soggetto genere / forma Congressos
Llibres electrònics
ISBN 981-16-8422-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910552720603321
Singapore : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Rings, monoids and module theory : AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6-9 / / Ayman Badawi and Jim Coykendall, editors
Rings, monoids and module theory : AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6-9 / / Ayman Badawi and Jim Coykendall, editors
Pubbl/distr/stampa Singapore : , : Springer, , [2022]
Descrizione fisica 1 online resource (317 pages)
Disciplina 512.74
Collana Springer Proceedings in Mathematics & Statistics
Soggetto topico Modules (Algebra)
Anells (Àlgebra)
Monoides
Mòduls (Àlgebra)
Soggetto genere / forma Congressos
Llibres electrònics
ISBN 981-16-8422-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996466568703316
Singapore : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui