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- Almost-positioned numerical semigroupsPublication . Branco, M.B.Branco; Faria, Manuel Caldas; Rosales, J. C.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.
- Positioned numerical semigroupsPublication . Branco, M. B.; Faria, Manuel Caldas; Rosales, José CarlosA numerical semigroup S is positioned if for all s ∈ N\S we have that F(S) + m(S) − s ∈ S. In this paper, we give algorithms to compute the set of positioned semigroups and a criterium to check whether S is or not is positioned. Furthermore, we prove the Wilf’s conjecture for this type of numerical semigroups.