Research Article

The complexity of a numerical semigroup

Published in: Quaestiones Mathematicae
Volume 46 , issue 9 , 2023 , pages: 1847–1861

DOI: 10.2989/16073606.2022.2114391

Author(s): J.I. García-García Universidad de Cádiz, Spain , M.A. Moreno-Frías Universidad de Cádiz, Spain , J.C. Rosales Universidad de Granada, Spain , A. Vigneron-Tenorio Universidad de Cádiz, Spain

Keywords: 11B13 , 11P70 , 13P25 , 20M12 , 20M14 , Complexity , extension , i-chain , i-pertinent map , ideal , numerical semigroup

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Abstract

Let S and Δ be numerical semigroups. A numerical semigroup S is an I(Δ)-semigroup if S \ {0} is an ideal of Δ. We denote by S is an I(Δ)-semigroup}, and we say that Δ is an ideal extension of S if S

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