{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T04:24:41Z","timestamp":1770956681035,"version":"3.50.1"},"reference-count":0,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2016,12,23]],"date-time":"2016-12-23T00:00:00Z","timestamp":1482451200000},"content-version":"vor","delay-in-days":5319,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of London Math Soc"],"published-print":{"date-parts":[[2002,6]]},"abstract":"<jats:p>A one\u2010to\u2010one correspondence is described between the set S(<jats:italic>m<\/jats:italic>) of numerical semigroups with multiplicity <jats:italic>m<\/jats:italic> and the set of non\u2010negative integer solutions of a system of linear Diophantine inequalities. This correspondence infers in S(<jats:italic>m<\/jats:italic>) a semigroup structure and the resulting semigroup is isomorphic to a subsemigroup of N<jats:sup><jats:italic>m<\/jats:italic>\u22121<\/jats:sup>. Finally, this result is particularized to the symmetric case.<\/jats:p>","DOI":"10.1112\/s0024610701003052","type":"journal-article","created":{"date-parts":[[2002,10,1]],"date-time":"2002-10-01T19:27:34Z","timestamp":1033500454000},"page":"611-623","source":"Crossref","is-referenced-by-count":33,"title":["Systems of Inequalities and Numerical Semigroups"],"prefix":"10.1112","volume":"65","author":[{"given":"J. C.","family":"Rosales","sequence":"first","affiliation":[]},{"given":"P. A.","family":"Garc\u00eda-S\u00e1nchez","sequence":"additional","affiliation":[]},{"given":"J. I.","family":"Garc\u00eda-Garc\u00eda","sequence":"additional","affiliation":[]},{"given":"M. B.","family":"Branco","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2016,12,23]]},"container-title":["Journal of the London Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/londmathsoc.onlinelibrary.wiley.com\/doi\/pdf\/10.1112\/S0024610701003052","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T19:07:12Z","timestamp":1718132832000},"score":1,"resource":{"primary":{"URL":"https:\/\/londmathsoc.onlinelibrary.wiley.com\/doi\/10.1112\/S0024610701003052"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,6]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2002,6]]}},"alternative-id":["10.1112\/S0024610701003052"],"URL":"https:\/\/doi.org\/10.1112\/s0024610701003052","archive":["Portico"],"relation":{},"ISSN":["0024-6107","1469-7750"],"issn-type":[{"value":"0024-6107","type":"print"},{"value":"1469-7750","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,6]]}}}