An algebraic proof for the identities for the degree of syzygies in numerical semigroup. (Q2904270)
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scientific article; zbMATH DE number 6065079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algebraic proof for the identities for the degree of syzygies in numerical semigroup. |
scientific article; zbMATH DE number 6065079 |
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13 August 2012
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numerical semigroups
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Hilbert series
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syzygies
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Betti numbers
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math.AC
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An algebraic proof for the identities for the degree of syzygies in numerical semigroup. (English)
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An algebraic proof is given for two identities found in 2009 by \textit{L. G. Fel} [``New identities for degrees of syzygies in numerical semigroups'', \url{arXiv:0912.5192}] involving Betti numbers of the semigroup algebra \(K[[t^s:s\in S]]\), where \(S\) is a numerical semigroup.
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