Numerical Semigroups and Applications

Name: Numerical Semigroups and Applications
Brand: Springer International Publishing AG
SKU: 9783319823256
Price: 37462 HUF
Availability: InStock

Szerző: Abdallah Assi, Pedro A. Garcia-Sanchez

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer International Publishing AG

Elérhetőség: 50 % esély

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

Információk a könyvről

Szerző

Abdallah Assi, Pedro A. Garcia-Sanchez

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2018

oldal

106

EAN

9783319823256

Enbook ID

20093011

Kiadó

Springer International Publishing AG

Súly

196

Méretek

155 x 239 x 5

Teljes leírás

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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Numerical Semigroups and Applications

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