The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet

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.

Bibliographic Details
Main Authors: Aureliano M. Robles-Pérez, José Carlos Rosales
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/459024
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spelling doaj-543475840434409bb64fbcf7403ac3432020-11-25T01:27:35ZengHindawi LimitedThe 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
collection DOAJ
language English
format Article
sources DOAJ
author Aureliano M. Robles-Pérez
José Carlos Rosales
spellingShingle Aureliano M. Robles-Pérez
José Carlos Rosales
The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet
The Scientific World Journal
author_facet Aureliano M. Robles-Pérez
José Carlos Rosales
author_sort Aureliano M. Robles-Pérez
title The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet
title_short 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_sort numerical semigroup of phrases' lengths in a simple alphabet
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/459024
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