In this paper we introduce a family of numerical semigroups whose elements, given nonnegative integers a,r,q,j_1 satisfying certain conditions, are denoted by L(a,r,q,j_1). For such a class of numerical semigroups we compute its main invariants and verify Wilf’s conjecture. If L is a semigroup of the family, A is a numerical semigroup transform introduced in a previous paper by the first author, we study the numerical semigroup A(L) and provide a subfamily for which A produces a decreasing of the embedding dimension.

On a family of numerical semigroups

C. Cisto
Primo
Membro del Collaboration Group
;
R. Utano
Secondo
Membro del Collaboration Group
2024-01-01

Abstract

In this paper we introduce a family of numerical semigroups whose elements, given nonnegative integers a,r,q,j_1 satisfying certain conditions, are denoted by L(a,r,q,j_1). For such a class of numerical semigroups we compute its main invariants and verify Wilf’s conjecture. If L is a semigroup of the family, A is a numerical semigroup transform introduced in a previous paper by the first author, we study the numerical semigroup A(L) and provide a subfamily for which A produces a decreasing of the embedding dimension.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3320051
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