2026-04-27T19:49:40Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/814972026-04-14T11:45:22Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

Almirón, Patricio Moyano Fernández, Julio José 2026-01-14T11:10:07Z 2026-01-14T11:10:07Z 2022 Communications in Algebra, 2022, vol. 50, n.º 10, pp. 4252--4268 0092-7872 https://uvadoc.uva.es/handle/10324/81497 10.1080/00927872.2022.2058521 4252 10 4268 Communications in Algebra 50 1532-4125 In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect to their Wilf number. We prove that the set of supersymmetric and self-symmetric gaps completely determines the semigroup and we compare this set with the fundamental gaps of the semigroup. Spanish Goverment, Ministerios de Ciencia e Innovaci\'on y de Universidades MTM2016-76868-C2-1-P MCIN/AEI/10.13039/501100011033 and by "ERDF -- A way of making Europe", grants PGC2018-096446-B-C22 and RED2018-102583-T Universitat Jaume I, grant UJI-B2021-02 application/pdf spa info:eu-repo/semantics/openAccess Supersymmetric gaps of a numerical semigroup with two generators info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion SI