The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet
Let 𝒜 be an alphabet with two elements. Considering a particular class of words (the phrases) over such an alphabet, we connect with the theory of numerical semigroups. We study the properties of the family of numerical semigroups which arise from this starting point.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/459024 |
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| _version_ | 1832549932939083776 |
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| author | Aureliano M. Robles-Pérez José Carlos Rosales |
| author_facet | Aureliano M. Robles-Pérez José Carlos Rosales |
| author_sort | Aureliano M. Robles-Pérez |
| collection | DOAJ |
| description | Let 𝒜 be an alphabet with two elements. Considering a particular class of words (the phrases) over such an alphabet, we connect with the theory of numerical semigroups. We study the properties of the family of numerical semigroups which arise from this starting point. |
| format | Article |
| id | doaj-art-543475840434409bb64fbcf7403ac343 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-543475840434409bb64fbcf7403ac3432025-02-03T06:08:11ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/459024459024The Numerical Semigroup of Phrases' Lengths in a Simple AlphabetAureliano M. Robles-Pérez0José Carlos Rosales1Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, SpainDepartamento de Álgebra, Universidad de Granada, 18071 Granada, SpainLet 𝒜 be an alphabet with two elements. Considering a particular class of words (the phrases) over such an alphabet, we connect with the theory of numerical semigroups. We study the properties of the family of numerical semigroups which arise from this starting point.http://dx.doi.org/10.1155/2013/459024 |
| spellingShingle | Aureliano M. Robles-Pérez José Carlos Rosales The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet The Scientific World Journal |
| title | The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet |
| title_full | The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet |
| title_fullStr | The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet |
| title_full_unstemmed | The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet |
| title_short | The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet |
| title_sort | numerical semigroup of phrases lengths in a simple alphabet |
| url | http://dx.doi.org/10.1155/2013/459024 |
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