rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Numerical Semigroups
  name:
    name part: Rosales, J.C.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: García-Sánchez, P. A.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2009
    edition: First.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 181 p. 7 illus. online resource.
  abstract: 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.
  table of contents: Notable elements -- Numerical semigroups with maximal embedding dimension -- Irreducible numerical semigroups -- Proportionally modular numerical semigroups -- The quotient of a numerical semigroup by a positive integer -- Families of numerical semigroups closed under finite intersections and adjoin of the Frobenius number -- Presentations of a numerical semigroup -- The gluing of numerical semigroups -- Numerical semigroups with embedding dimension three -- The structure of a numerical semigroup.
  note: by J.C. Rosales, P. A. García-Sánchez.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Group theory
  subject:
    topic: Ordered algebraic structures
  subject:
    topic: Number theory
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Group Theory and Generalizations
  subject:
    topic: Number Theory
  subject:
    topic: General Algebraic Systems
  subject:
    topic: Order, Lattices, Ordered Algebraic Structures
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 20
  identifier: 9781441901606
  identifier: http://dx.doi.org/10.1007/978-1-4419-0160-6
  record info:
    record creation date: 100301
    record change date: 20151204174342.0
    record identifier: 978-1-4419-0160-6