Numerical Semigroups

• Main Authors: Rosales, J.C. (Author), Garca̕-Sǹchez, P. A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• 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.; Number theory.; Group Theory and Generalizations.; General Algebraic Systems.; Order, Lattices, Ordered Algebraic Structures.; Number Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-0160-6

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:

• Introduction
• 1. Notable Elements
• 2. Numerical Semigroups with Maximal Embedding Dimension
• 3. Irreducible Numerical Semigropus
• 4. Proportionally Modular Numerical Semigroups
• 5. The Quotient of a Numerical Semigroup by a Positive Integer
• 6. Families of Numerical Semigroups Closed Under Finite Intersections and Adjoin of the Frobenius Number
• 7. Presentations of a Numerical Semigroup
• 8. The Gluing of Numerical Semigroups
• 9. Numerical Semigroups with Embedding Dimension Three
• 10. The Structure of a Numerical Semigroup
• Bibliography. List of Symbols. Index.