{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T04:47:22Z","timestamp":1747198042156,"version":"3.40.5"},"reference-count":16,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["MTM2014-55367-P"],"award-info":[{"award-number":["MTM2014-55367-P"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002878","name":"Consejer\u00eda de Econom\u00eda, Innovaci\u00f3n, Ciencia y Empleo, Junta de Andaluc\u00eda","doi-asserted-by":"publisher","award":["FQM-343","FQM-5849"],"award-info":[{"award-number":["FQM-343","FQM-5849"]}],"id":[{"id":"10.13039\/501100002878","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We present a fast algorithm to compute the Delta set of a nonsymmetric numerical semigroup with embedding dimension three. We also characterize the sets of integers that are the Delta set of a numerical semigroup of this kind.<\/jats:p>","DOI":"10.1515\/forum-2015-0065","type":"journal-article","created":{"date-parts":[[2017,2,14]],"date-time":"2017-02-14T10:02:03Z","timestamp":1487066523000},"page":"15-30","source":"Crossref","is-referenced-by-count":9,"title":["Delta sets for nonsymmetric numerical semigroups with embedding dimension three"],"prefix":"10.1515","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2330-9871","authenticated-orcid":false,"given":"Pedro A.","family":"Garc\u00eda-S\u00e1nchez","sequence":"first","affiliation":[{"name":"Departamento de \u00c1lgebra and IEMath-GR , Universidad de Granada , 18071 Granada , Spain"}]},{"given":"David","family":"Llena","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas , Universidad de Almer\u00eda , 04120 Almer\u00eda , Spain"}]},{"given":"Alessio","family":"Moscariello","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Informatica , Universit\u00e0 di Catania , Viale Andrea Doria 6 ; and Scuola Superiore di Catania, Universit\u00e0 di Catania, Via Valdisavoia 9, 95125 Catania , Italy"}]}],"member":"374","published-online":{"date-parts":[[2017,2,14]]},"reference":[{"key":"2023033114454905725_j_forum-2015-0065_ref_001_w2aab3b7ab1b6b1ab1b6b1Aa","doi-asserted-by":"crossref","unstructured":"F.  Aguil\u00f3-Gost, P. A.  Garc\u00eda-S\u00e1nchez and D.  Llena,\nAn algorithm to compute the primitive elements of an embedding dimension three numerical semigroup,\nElectron. Notes Discrete Math. 46C (2014), 185\u2013192.","DOI":"10.1016\/j.endm.2014.08.025"},{"key":"2023033114454905725_j_forum-2015-0065_ref_002_w2aab3b7ab1b6b1ab1b6b2Aa","unstructured":"T.  Barron, C.  O\u2019Neill and R.  Pelayo,\nOn dynamic algorithms for factorization invariants in numerical monoids,\npreprint (2015), https:\/\/arxiv.org\/abs\/1507.07435;\nto appear in Math Comp."},{"key":"2023033114454905725_j_forum-2015-0065_ref_003_w2aab3b7ab1b6b1ab1b6b3Aa","doi-asserted-by":"crossref","unstructured":"S. T.  Chapman, C.  Bowles, N.  Kaplan and D.  Reiser,\nOn Delta sets of numerical monoids,\nJ. 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Hoyer,\nDelta sets of numerical monoids using non-minimal sets of generators,\nComm. Algebra. 38 (2010), 2622\u20132634.\n10.1080\/00927870903045165","DOI":"10.1080\/00927870903045165"},{"key":"2023033114454905725_j_forum-2015-0065_ref_007_w2aab3b7ab1b6b1ab1b6b7Aa","doi-asserted-by":"crossref","unstructured":"S. T.  Chapman, N.  Kaplan, T.  Lemburg, A.  Niles and C.  Zlogar,\nShifts of generators and delta sets of numerical monoids,\nInternat. J. Algebra Comput. 24 (2014), no. 5, 655\u2013669.\n10.1142\/S0218196714500271","DOI":"10.1142\/S0218196714500271"},{"key":"2023033114454905725_j_forum-2015-0065_ref_008_w2aab3b7ab1b6b1ab1b6b8Aa","unstructured":"S.  Colton and N.  Kaplan,\nThe realization problem for Delta sets of numerical semigroups,\npreprint (2015), https:\/\/arxiv.org\/abs\/1503.08496;\nto appear in J. Commut. Algebra."},{"key":"2023033114454905725_j_forum-2015-0065_ref_009_w2aab3b7ab1b6b1ab1b6b9Aa","doi-asserted-by":"crossref","unstructured":"M.  Delgado, P. A.  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