The poset of normalized ideals of numerical semigroups with multiplicity three
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.
Authors
- Stefano Bonzio (ORCID: https://orcid.org/0000-0002-5959-5868)
- Pedro A. García-Sánchez (ORCID: https://orcid.org/0000-0003-2330-9871)
Institutions
- University of Cagliari (IT)
- Universidad de Granada (ES)
Publication Details
- Journal
- Communications in Algebra
- Published
- 2025-03-05
- DOI
- https://doi.org/10.1080/00927872.2025.2464956
- Citations
- 2
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 10.76
Funders
- Universidad de Granada