@misc{10481/111941,
year = {2026},
month = {3},
url = {https://hdl.handle.net/10481/111941},
abstract = {An odd right-end semigroup (hereinafter Ore semigroup) is a numerical semigroup S
verifying that x + 1 ∈ S for every x ∈ S\{0} such that x is even. The introduction and
study of these semigroups is the purpose of the present work. In particular, we will give
some algorithms which compute all Ore semigroups with a given genus, a fixed Frobenius
number and aspecific multiplicity. We will see that if X is a set of positive integers, then
there exists the smallest Ore semigroup, under the inclusion sets, that contains X. We will
denote this semigroup by θ[X] and present an algorithm to calculate it. Finally, we will
study the embedding dimension, the Frobenius number, and the genus of Ore semigroups
of the form θ[{m}], where m is a positive integer. As a consequence of this study, we will
prove that this kind of semigroup satisfies Wilf’s conjecture.},
publisher = {MDPI},
keywords = {Frobenius number},
keywords = {Frobenius variety},
keywords = {Genus},
title = {Odd Right-End Numerical Semigroups},
doi = {10.3390/axioms15030189},
author = {Moreno Frías, María Ángeles and Rosales González, José Carlos},
}