Numerical semigroups and applications. (2016)

• Record Type: Book
• Further Information: Note: Abdallah Assi, Pedro A. García-Sánchez.
• Authors: Assi, Abdallah; García-Sánchez, P. A
• Contents: Preface; Acknowledgments; Contents; 1 Numerical Semigroups, the Basics; 1.1 Notable Elements; 1.2 Numerical Semigroups with Maximal Embedding Dimension; 1.3 Special Gaps and Unitary Extensions of a Numerical Semigroup; 2 Irreducible Numerical Semigroups; 2.1 Characterizations of Irreducible Numerical Semigroups; 2.2 Decomposition of a Numerical Semigroup into Irreducible Semigroups; 2.3 Free Numerical Semigroups; 3 Semigroup of an Irreducible Meromorphic Series; 3.1 Some Notation; 3.2 Characteristic Sequences; 3.3 Contact; 3.4 The Local Case. 3.5 The Case of Curves with One Place at Infinity; 4 Minimal Presentations; 4.1 Generators and Relations; 4.2 Free Numerical Semigroups; 4.3 Graphs of Factorizations and Minimal Presentations; 4.4 Presentations and Binomial Ideals; 4.5 Shaded Sets and Generating Functions; 5 Factorizations and Divisibility; 5.1 Length-Based Invariants; 5.2 Distance-Based Invariants; 5.3 How Far Is an Irreducible from Being Prime; 5.4 Divisors and Feng -- Rao Distances; References; Index.
• Publisher Details: Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 512; Mathematics; Semigroups; MATHEMATICS -- Algebra -- Intermediate; Semigroups; Mathematics -- Algebra -- Abstract; Computers -- Programming -- Algorithms; Mathematics -- Combinatorics; Computers -- Data Processing; Algebra; Numerical analysis; Combinatorics & graph theory; Discrete mathematics; Geometry, algebraic; Algebra; Algorithms; Combinatorics; Computational complexity; Mathematics -- Geometry -- Algebraic; Algebraic geometry; Electronic books
• Languages: English
• ISBNs: 9783319413303; 3319413309
• Related ISBNs: 9783319413297; 3319413295
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed September 1, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.