Numerical Semigroups

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...

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Detalles Bibliográficos
Autor principal: Rosales, J.C (-)
Autor Corporativo: SpringerLink (-)
Otros Autores: García-Sánchez, P. A.
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York, NY : Springer New York 2009.
Edición:1st ed
Colección:Developments in Mathematics ; 20.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b32741996*spi
Descripción
Sumario: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 ranging from the basics to open research problems and the latest advances in the field; - Exercises at the end of each chapter that expand upon and support the material; - Emphasis on the computational aspects of the theory; algorithms are presented to provide effective calculations; - Many examples that illustrate the concepts and algorithms; - Presentation of various connections between numerical semigroups and number theory, coding theory, algebraic geometry, linear programming, and commutative algebra would be of significant interest to researchers. "Numerical Semigroups" is accessible to first year graduate students, with only a basic knowledge of algebra required, giving the full background needed for readers not familiar 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.
Descripción Física:IX, 181 p., 7 il
Formato:Forma de acceso: World Wide Web.
ISBN:9781441901606