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Almost-positioned numerical semigroups

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A numerical semigroup S is almost-positioned if for all s is an element of N\S we have that F(S)+m(S)+1-s is an element of S. In this note we give algorithmics for computing the whole set of almost-positioned numerical semigroup with fixed multiplicity and Frobenius number. Moreover, we prove Wilf's conjecture for this type of numerical semigroups.

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Numerical semigroups Almost-positioned numerical semigroups Tree Frobenius number Multiplicity Genus and Wilf's conjecture 20M14 11D07

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BRANCO, M. B.; FARIA, Manuel Caldas; ROSALES, J. C. – Almost-positioned numerical semigroups. Results in Mathematics. ISSN 1422-6383. Vol. 76, N.º 2 (2021), pp. 1-14

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Springer

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