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The doubles of a numerical semigroup |
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| Authors: | Aureliano M Robles-Pérez José Carlos Rosales |
| Institution: | a Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071-Granada, Spain b Departamento de Álgebra, Facultad de Ciencias, Universidad de Granada, 18071-Granada, Spain c Departamento de Matemática, Universidade de Trás-os-Montes e Alto Douro, 5001-801 Vila Real, Portugal |
| Abstract: | Let S be a numerical semigroup and let p be a positive integer. Then the quotient  is also a numerical semigroup. When p=2 we say that  is half of the numerical semigroup S. Dually, we say that S is a double of the numerical semigroup  . We characterize the set of all doubles of a numerical semigroup. We also give some alternative proofs and improvements for some results that we find in previous papers. |
| Keywords: | 20M14 |
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