دانلود کتاب NUMERICAL SEMIGROUPS AND APPLICATIONS

فهرست مطالب :

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 Ideals 3.1 Basic Definitions and Relevant Invariants 3.2 Duality 3.3 Irreducibility 3.4 Reduction Number, Blowup and Multiplicity Sequence; Arf Semigroups 4 Semigroup of an Irreducible Meromorphic Series 4.1 Some Notation 4.2 Characteristic Sequences 4.3 Contact 4.4 The Local Case 4.4.1 Module of Kähler Differentials 4.5 The Case of Curves with One Place at Infinity 4.5.1 Module of Kähler Differentials on Polynomial Curves 5 Minimal Presentations 5.1 Generators and Relations 5.2 Free Numerical Semigroups 5.3 Graphs of Factorizations and Minimal Presentations 5.4 Presentations and Binomial Ideals 5.5 Shaded Sets and Generating Functions 6 Factorizations and Divisibility 6.1 Length Based Invariants 6.2 Distance Based Invariants 6.3 How Far Is an Irreducible from Being Prime 6.4 Divisors and Feng–Rao Distances Appendix References Index