{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,12]],"date-time":"2025-04-12T04:09:51Z","timestamp":1744430991642,"version":"3.40.4"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,6,8]],"date-time":"2023-06-08T00:00:00Z","timestamp":1686182400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2023,6,8]],"date-time":"2023-06-08T00:00:00Z","timestamp":1686182400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"Universidad de Cadiz"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[2025,5]]},"abstract":"Abstract<\/jats:title>\n In this paper, we study the set \n \n $$\\mathscr {L}(m,r)$$<\/jats:tex-math>\n \n \n L<\/mml:mi>\n (<\/mml:mo>\n m<\/mml:mi>\n ,<\/mml:mo>\n r<\/mml:mi>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> of all numerical semigroups with multiplicity m<\/jats:italic> and ratio r<\/jats:italic>. In particular, we present some algorithms that compute all the elements of \n \n $$ \\mathscr {L}(m,r)$$<\/jats:tex-math>\n \n \n L<\/mml:mi>\n (<\/mml:mo>\n m<\/mml:mi>\n ,<\/mml:mo>\n r<\/mml:mi>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> with a given genus or with a given Frobenius number.<\/jats:p>","DOI":"10.1007\/s00200-023-00610-w","type":"journal-article","created":{"date-parts":[[2023,6,8]],"date-time":"2023-06-08T10:01:58Z","timestamp":1686218518000},"page":"427-441","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Frobenius pseudo-variety of numerical semigroups with a given multiplicity and ratio"],"prefix":"10.1007","volume":"36","author":[{"given":"M. A.","family":"Moreno-Fr\u00edas","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. 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