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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Bibliographic Details
Published inTheScientificWorld Vol. 2013; no. 1; p. 459024
Main Authors Robles-Pérez, Aureliano M., Rosales, José Carlos
Format Journal Article
LanguageEnglish
Published United States Hindawi Publishing Corporation 01.01.2013
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Alphabets
Combinatorics
Generators
Group theory
Language
Mathematical research
Numerical analysis
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Academic Editors: R. Esteban-Romero and J. Rada
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2013/459024