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Numerical Semigroups

Paperback Engels 2012 2009e druk 9781461424567
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Samenvatting

"Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of  numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.

Specificaties

ISBN13:9781461424567
Taal:Engels
Bindwijze:paperback
Aantal pagina's:181
Uitgever:Springer New York
Druk:2009

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Inhoudsopgave

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.

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        Numerical Semigroups