{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T20:47:03Z","timestamp":1772830023310,"version":"3.50.1"},"reference-count":0,"publisher":"University Library in Kragujevac","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["KgJMat"],"published-print":{"date-parts":[[2022,6]]},"abstract":"<jats:p>In this paper we give algorithms that allow to compute the set of every elementary numerical semigroups with given genus, Frobenius number and multiplicity. As a consequence we obtain formulas for the cardinality of these sets.<\/jats:p>","DOI":"10.46793\/kgjmat2203.433r","type":"journal-article","created":{"date-parts":[[2022,6,2]],"date-time":"2022-06-02T07:21:50Z","timestamp":1654154510000},"page":"433-442","source":"Crossref","is-referenced-by-count":8,"title":["On the Enumeration of the Set of Elementary Numerical Semigroups with Fixed Multiplicity, Frobenius Number or Genus"],"prefix":"10.46793","volume":"46","author":[{"name":"Universidad de Granada, \u00c1lgebra","sequence":"first","affiliation":[]},{"given":"J. C.","family":"ROSALES","sequence":"first","affiliation":[]},{"given":"M. B.","family":"BRANCO","sequence":"additional","affiliation":[]}],"member":"24947","published-online":{"date-parts":[[2022,6]]},"container-title":["Kragujevac Journal of Mathematics"],"original-title":[],"deposited":{"date-parts":[[2022,6,2]],"date-time":"2022-06-02T07:21:59Z","timestamp":1654154519000},"score":1,"resource":{"primary":{"URL":"https:\/\/imi.pmf.kg.ac.rs\/kjm\/en\/index.php?page=10.46793\/KgJMat2203.433R"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2022,6]]},"published-print":{"date-parts":[[2022,6]]}},"URL":"https:\/\/doi.org\/10.46793\/kgjmat2203.433r","relation":{},"ISSN":["1450-9628","2406-3045"],"issn-type":[{"value":"1450-9628","type":"print"},{"value":"2406-3045","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6]]}}}