Téléchargez le livre : Numerical Semigroups and Applications

Numerical Semigroups and Applications

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Springer


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RSME Springer Series

Paru le : 2016-08-25

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Description
This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students(especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research.
Pages
106 pages
Collection
RSME Springer Series
Parution
2016-08-25
Marque
Springer
EAN papier
9783319413297
EAN PDF
9783319413303
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
1782 Ko
Prix
94,94 €
EAN EPUB
9783319413303
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
3082 Ko
Prix
94,94 €

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