{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T21:58:09Z","timestamp":1765231089524},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2018,2]]},"abstract":"<jats:p> In this work, we give parametrizations in terms of the Kunz coordinates of numerical semigroups with multiplicity up to [Formula: see text]. We also obtain parametrizations of MED semigroups, symmetric and pseudo-symmetric numerical semigroups with multiplicity up to [Formula: see text]. These parametrizations also lead to formulas for the number of numerical semigroups, the number of MED semigroups and the number of symmetric and pseudo-symmetric numerical semigroups with multiplicity up to [Formula: see text] and given conductor. <\/jats:p>","DOI":"10.1142\/s0218196718500042","type":"journal-article","created":{"date-parts":[[2017,11,28]],"date-time":"2017-11-28T02:50:06Z","timestamp":1511837406000},"page":"69-95","source":"Crossref","is-referenced-by-count":3,"title":["Parametrizing numerical semigroups with multiplicity up to 5"],"prefix":"10.1142","volume":"28","author":[{"given":"Halil \u0130brahim","family":"Karaka\u015f","sequence":"first","affiliation":[{"name":"Faculty of Commercial Sciences, Ba\u015fkent University, Ankara, Turkey"}]}],"member":"219","published-online":{"date-parts":[[2018,2,25]]},"reference":[{"key":"S0218196718500042BIB001","first-page":"1","volume":"125","author":"Barucci V.","year":"1997","journal-title":"Mem. Amer. Math. Soc."},{"key":"S0218196718500042BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196711006911"},{"key":"S0218196718500042BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02573091"},{"key":"S0218196718500042BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498817502097"},{"key":"S0218196718500042BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2011.10.038"},{"key":"S0218196718500042BIB008","unstructured":"E. Kunz,  \u00dcber die Klassifikation Numerischer Halbgruppen,  Regensburger Mathematische Schriften, Vol.  11  (Fakult\u00e4t f\u00fcr mathematik der universit\u00e4t, 1987),  81 pages."},{"key":"S0218196718500042BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/BF02574106"},{"key":"S0218196718500042BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-005-0517-x"},{"key":"S0218196718500042BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-0160-6"},{"key":"S0218196718500042BIB014","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610701003052"},{"issue":"1","key":"S0218196718500042BIB015","first-page":"47","volume":"2","author":"Rosales J. C.","year":"2003","journal-title":"Int. J. Commut. Rings"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196718500042","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:51:33Z","timestamp":1565113893000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196718500042"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2]]},"references-count":11,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2018,2,25]]},"published-print":{"date-parts":[[2018,2]]}},"alternative-id":["10.1142\/S0218196718500042"],"URL":"https:\/\/doi.org\/10.1142\/s0218196718500042","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,2]]}}}