{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T13:06:53Z","timestamp":1772716013636,"version":"3.50.1"},"reference-count":27,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T00:00:00Z","timestamp":1772668800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>An odd right-end semigroup (hereinafter Ore semigroup) is a numerical semigroup S verifying that x+1\u2208S for every x\u2208S\u2216{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 a specific 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 \u03b8[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 \u03b8[{m}], where m is a positive integer. As a consequence of this study, we will prove that this kind of semigroup satisfies Wilf\u2019s conjecture.<\/jats:p>","DOI":"10.3390\/axioms15030189","type":"journal-article","created":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T11:52:11Z","timestamp":1772711531000},"page":"189","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Odd Right-End Numerical Semigroups"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0593-9434","authenticated-orcid":false,"given":"Mar\u00eda \u00c1ngeles","family":"Moreno-Fr\u00edas","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, University of C\u00e1diz, E-11510 C\u00e1diz, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3353-4335","authenticated-orcid":false,"given":"Jos\u00e9 Carlos","family":"Rosales","sequence":"additional","affiliation":[{"name":"Department of Algebra, Faculty of Sciences, University of Granada, E-18071 Granada, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,3,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Rosales, J.C., and Garc\u00eda-S\u00e1nchez, P.A. 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