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Numerical semigroups with embedding dimension three and minimal catenary degree. (English) Zbl 1472.20133

Given \(S\) a numerical semigroup, it is well-known that \(\max(\Delta(S))+2\leq c(S)\), where \(\Delta(S)\) is the Delta set of \(S\) and \(c(S)\) is its catenary degree. In this paper, the autors give a characterization for numerical semigroups with embedding dimension three such that the equality \(\max(\Delta(S))+2 = c(S)\) holds.

MSC:

20M14 Commutative semigroups
20M13 Arithmetic theory of semigroups

Software:

GAP; numericalsgps
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Full Text: arXiv Link

References:

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