Beschreibung:
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.
First monograph devoted exclusively to the study of numerical semigroups
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.