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Catalogue Information
Field name	Details
Dewey Class	512.27
Title	Numerical Semigroups ([Ebook]) / by J.C. Rosales, P. A. García-Sánchez
Author	Rosales, José C.
Added Personal Name	García-Sánchez, Pedro A.
Other name(s)	SpringerLink (Online service)
Edition statement	First. edition
Publication	New York, NY : Springer , 2009.
Physical Details	IX, 181 pages : 7 illus. : online resource.
Series	Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt 1389-2177 ; ; 20
ISBN	9781441901606
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-0160-6
Links to Related Works	Subject References: Algebra . General Algebraic Systems . Group theory . Group Theory and Generalizations . Mathematics . Number Theory . Order, Lattices, Ordered Algebraic Structures . Authors: author . García-Sánchez, Pedro A. . Rosales, José C. . Corporate Authors: SpringerLink (Online service) . Series: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt . Classification: 512.27 . 512.2 (DDC 23) .

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Numerical Semigroups

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