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The doubles of one half of a numerical semigroup.

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Publication:5964545
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DOI10.1016/j.jnt.2015.11.026zbMath1344.20076OpenAlexW2309182136MaRDI QIDQ5964545

Xilin Tang, Ze Gu

Publication date: 29 February 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.11.026


zbMATH Keywords

numerical semigroupsgeneraFrobenius numbersdoubles of numerical semigroupsquotients of numerical semigroups


Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) The Frobenius problem (11D07)


Related Items (2)

Counting numerical semigroups by genus and even gaps ⋮ On the genus of a quotient of a numerical semigroup


Uses Software

  • NumericalSemigroupsWithGenus


Cites Work

  • Unnamed Item
  • Unnamed Item
  • The numerical duplication of a numerical semigroup.
  • Numerical semigroups whose fractions are of maximal embedding dimension.
  • Numerical semigroups.
  • The doubles of a numerical semigroup.
  • Fundamental gaps of numerical semigroups generated by two elements.
  • Minimal genus of a multiple and Frobenius number of a quotient of a numerical semigroup
  • Two-Extension of a Numerical Semigroup with Embedding Dimension Two


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