Numerical Semigroups and Applications

• Main Authors: Assi, Abdallah (Author), García-Sánchez, Pedro A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: RSME Springer Series, 1
• Subjects: Mathematics.; Computer science > Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Algorithms.; Combinatorics.; Algebraic Geometry.; Commutative Rings and Algebras.; Discrete Mathematics in Computer Science.

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 pa...

Table of Contents:

• 1 Numerical semigroups, the basics
• 2 Irreducible numerical semigroups
• 3 Semigroup of an irreducible meromorphic series
• 4 Minimal presentations
• 5 Factorizations and divisibility.