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Classes of complete intersection numerical semigroups

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Abstract

We consider several classes of complete intersection numerical semigroups, arising from many different contexts like algebraic geometry, commutative algebra, coding theory and factorization theory. In particular, we determine all the logical implications among these classes and provide examples. Most of these classes are shown to be well-behaved with respect to the operation of gluing.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria, 6, 95125, Catania, Italy

    Marco D’Anna & Vincenzo Micale

  2. Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN, 47907, USA

    Alessio Sammartano

Authors
  1. Marco D’Anna
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  2. Vincenzo Micale
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  3. Alessio Sammartano
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Corresponding author

Correspondence to Marco D’Anna.

Additional information

Communicated by Fernando Torres.

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D’Anna, M., Micale, V. & Sammartano, A. Classes of complete intersection numerical semigroups. Semigroup Forum 88, 453–467 (2014). https://doi.org/10.1007/s00233-013-9547-y

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  • DOI: https://doi.org/10.1007/s00233-013-9547-y

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