Numerical Semigroups and Applications

Name: Numerical Semigroups and Applications
Brand: Springer International Publishing AG
SKU: 9783319823256
Price: 496.64 RON
Availability: InStock

Autor: Abdallah Assi, Pedro A. Garcia-Sanchez

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Editura: Springer International Publishing AG

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This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Co...

Informații despre carte

Autor

Abdallah Assi, Pedro A. Garcia-Sanchez

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2018

Pagini

106

EAN

9783319823256

Enbook ID

20093011

Editura

Springer International Publishing AG

Greutate

196

Dimensiuni

155 x 239 x 5

Descriere completă

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.

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