Year: 2025
Type: article
Abstract: We study the poset of normalized ideals of a numerical semigroup with multiplicity three. We show that this poset is always a lattice, and that two different numerical semigroups with multiplicity three have non-isomorphic posets of normalized ideals.
Source: Communications in Algebra
Authors: S. Bonzio, P. A. García-Sánchez
Institutions: University of Cagliari, Universidad de Granada
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Cagliari, Fondazione di Sardegna, Ministero dell’Istruzione, dell’Università e della Ricerca, Ministerio de Ciencia e Innovación, Universidad de Granada, Junta de Andalucía, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni, European Regional Development Fund, Erasmus+, Agencia Estatal de Investigación
Awards: G1254525443, G1462035462, G1663813427, G1855990336, G21826877, G2193086574, G2262748287, G248826378, G2660406951, G2987308281, G3378729657, G3480869486, G4031275129, G425668148, G4509960801, G451917667, G459375866, G490430286, G5245466801, G5421974903, G567365627, G5967599077, G6296285101, G7084143925, G8115423417, G8174551696, G8395667282, G8920660035
OpenAlex ID: W4408221111