Kunz, E. and Waldi, R. (2014) Geometrical illustration of numerical semigroups and of some of their invariants. SEMIGROUP FORUM, 89 (3). pp. 664-691. ISSN 0037-1912, 1432-2137
Full text not available from this repository. (Request a copy)Abstract
Let p, q is an element of N be relatively prime integers with 1 < p < q. In Knebl et al. (J Algebra 348:315-335, 2011) the numerical semigroups containing p and q have been illustrated by certain lattice paths in the plane. In this paper we derive some further information from this visualization, for example formulas to compute or estimate the number of certain semigroups by counting lattice paths, and formulas for their genus and Frobenius number.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LATTICE PATHS; NUMBER; Numerical semigroup; Lattice path; Apery set; Catalan numbers; Genus; Frobenius number; Pseudo-Frobenius numbers; Type; Symmetric and pseudo-symmetric semigroups |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Aug 2019 14:25 |
| Last Modified: | 07 Aug 2019 14:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/9176 |
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