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math.AC2008
Duality Relation for the Hilbert Series of Almost Symmetric Numerical Semigroups
Leonid G. Fel
We derive the duality relation for the Hilbert series H(d^m;z) of almost symmetric numerical semigroup S(d^m) combining it with its dual H(d^m;z^{-1}). On this basis we establish t…
math.AC2007
Gaps in Nonsymmetric Numerical Semigroups
Leonid G. Fel, Francesca Aicardi
There exist two different sorts of gaps in the nonsymmetric numerical additive semigroups finitely generated by a minimal set of positive integers {d_1,...,d_m}. The h-gaps are spe…