Numerical Semigroups and Applications - Abdallah Assi & Pedro A. García-Sánchez

Numerical Semigroups and Applications

By Abdallah Assi & Pedro A. García-Sánchez

  • Release Date - Published: 2016-08-25
  • Book Genre: Mathematics
  • Author: Abdallah Assi & Pedro A. García-Sánchez
Our rating: 5/5 stars

Score: (From 0 Ratings)

Numerical Semigroups and Applications Abdallah Assi & Pedro A. García-Sánchez read online review & book 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.

@2019 – Go Read a Book. All Right Reserved. goreadabook.org is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for website owners, to earn advertising fees by linking and advertising to amazon.com and any other website that may be affiliated with Amazon Service LLC Associates Program; As an Amazon Associate I earn from qualifying purchases.

Numerical Semigroups and Applications book review Numerical Semigroups and Applications ePUB; Abdallah Assi & Pedro A. García-Sánchez; Mathematics books.

Post a review about this book