Numerical Semigroups

• Main Authors: Rosales, J.C (Author), García-Sánchez, P. A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Edition: First.
• Series: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 20
• Subjects: Mathematics.; Algebra.; Group theory.; Ordered algebraic structures.; Number theory.; Group Theory and Generalizations.; Number Theory.; General Algebraic Systems.; Order, Lattices, Ordered Algebraic Structures.

This monograph is the first devoted exclusively to the development of the theory of numerical semigroups. In this concise, self-contained text, graduate students and researchers will benefit from this broad exposition of the topic. Key features of "Numerical Semigroups" include: - Content...

Table of Contents:

• Notable elements
• Numerical semigroups with maximal embedding dimension
• Irreducible numerical semigroups
• Proportionally modular numerical semigroups
• The quotient of a numerical semigroup by a positive integer
• Families of numerical semigroups closed under finite intersections and adjoin of the Frobenius number
• Presentations of a numerical semigroup
• The gluing of numerical semigroups
• Numerical semigroups with embedding dimension three
• The structure of a numerical semigroup.