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The gluing of numerical semigroups

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Part of the Developments in Mathematics book series (DEVM,volume 20)

Abstract

If K[V] is the ring of coordinates of a variety V, then V is said to be a complete intersection if its defining ideal is generated by the least possible number of polynomials. In the special case K[V] is taken to be a semigroup ring K[S], the generators of its defining ideal can be chosen to be binomials whose exponents correspond to a presentation of the monoid S (see [41]). In this way the concept of complete intersection translates to finitely generated monoids as those having the least possible number of relations in their minimal presentations.

Keywords

  • Complete Intersection
  • Minimal Generator
  • Numerical Semigroup
  • Minimal System
  • Free Semigroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to J.C. Rosales .

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Rosales, J., García-Sánchez, P. (2009). The gluing of numerical semigroups. In: Numerical Semigroups. Developments in Mathematics, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0160-6_9

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