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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->
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Ideal Theory of Commutative Rings and Monoids / / by Franz Halter-Koch ; edited by Alfred Geroldinger, Andreas Reinhart
| Ideal Theory of Commutative Rings and Monoids / / by Franz Halter-Koch ; edited by Alfred Geroldinger, Andreas Reinhart |
| Autore | Halter-Koch Franz <1944-2023> |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (X, 282 p. 1 illus.) |
| Disciplina | 512.44 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Commutative algebra
Commutative rings Group theory Commutative Rings and Algebras Group Theory and Generalizations Anells commutatius Monoides |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-88878-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - 1. Basic Monoid Theory -- 2. The Formalism of Module and Ideal Systems -- 3. Prime and Primary Ideals and Noetherian Conditions -- 4. Invertibility, Cancellation and Integrality -- 5. Arithmetic of Cancellative Mori Monoids -- 6. Ideal Theory of Polynomial Rings. |
| Record Nr. | UNINA-9911002560403321 |
|
Halter-Koch Franz <1944-2023>
|
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ideal Theory of Commutative Rings and Monoids / / by Franz Halter-Koch ; edited by Alfred Geroldinger, Andreas Reinhart
| Ideal Theory of Commutative Rings and Monoids / / by Franz Halter-Koch ; edited by Alfred Geroldinger, Andreas Reinhart |
| Autore | Halter-Koch Franz <1944-2023> |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (X, 282 p. 1 illus.) |
| Disciplina | 512.44 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Commutative algebra
Commutative rings Group theory Commutative Rings and Algebras Group Theory and Generalizations Anells commutatius Monoides |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-88878-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - 1. Basic Monoid Theory -- 2. The Formalism of Module and Ideal Systems -- 3. Prime and Primary Ideals and Noetherian Conditions -- 4. Invertibility, Cancellation and Integrality -- 5. Arithmetic of Cancellative Mori Monoids -- 6. Ideal Theory of Polynomial Rings. |
| Record Nr. | UNISA-996660358203316 |
|
Halter-Koch Franz <1944-2023>
|
||
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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 | ||
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