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One half of a pseudo‐symmetric numerical semigroup
Author(s) -
Rosales J. C.
Publication year - 2008
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdn010
Subject(s) - numerical semigroup , mathematics , semigroup , cancellative semigroup , numerical analysis , pure mathematics , mathematical analysis
We prove that a numerical semigroup is irreducible if and only if it is one half of a pseudo‐symmetric numerical semigroup. As a consequence we find that every numerical semigroup can be obtained by dividing a pseudo‐symmetric numerical semigroup by 4.