Cisto, Carmelo and Navarra, Francesco (2025) On some classes of generalized numerical semigroups. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 33 (1). pp. 153-175. ISSN 1224-1784 (Print) 1844-0835 (Online)
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Official URL: https://dx.doi.org/10.2478/auom-2025-0008
Abstract
A generalized numerical semigroup is a submonoid of Nd with finite complement in it. In this work we study some properties of three different classes of generalized numerical semigroups defined starting from numerical semigroups. In particular, we prove that the class of the so called T-stripe generalized numerical semigroups satisfies a generalization of Wilf’s conjecture. Some partial results for the generalized Wilf’s conjecture, together with characterizations for the properties of quasi-irreducibility and quasi-symmetry, are obtained for the so called Tgraded semigroups and for the generalized numerical semigroups S ⊆ Nd such that elements of Nd \ S belong to the coordinate axes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | embedding dimension; Generalized numerical semigroups (GNSs); generalized Wilf’s conjecture; type |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Francesco Navarra |
| Date Deposited: | 19 Aug 2025 11:33 |
| Last Modified: | 19 Aug 2025 11:33 |
| URI: | https://research.sabanciuniv.edu/id/eprint/51888 |
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