{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:26:05Z","timestamp":1777645565141,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2010,5,1]],"date-time":"2010-05-01T00:00:00Z","timestamp":1272672000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2010,5]]},"abstract":"<jats:p>An algebraic tree T is one determined by a finite system of fixed point equations. The frontier Fr(T ) of an algebraic tree T is linearly ordered by the lexicographic order &lt;\u2113 If (Fr(T) &lt;\u2113) is well-ordered, its order type is an algebraic ordinal. We prove that the algebraic ordinals are exactly the ordinals less than \u03c9 $^{&amp;omega;}$ $^{&amp;omega;}$ .<\/jats:p>","DOI":"10.3233\/fi-2010-255","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T23:29:57Z","timestamp":1575329397000},"page":"383-407","source":"Crossref","is-referenced-by-count":12,"title":["Algebraic Ordinals"],"prefix":"10.1177","volume":"99","author":[{"given":"Stephen L.","family":"Bloom","sequence":"first","affiliation":[{"name":"Department of Computer Science, Stevens Institute of\r\t\t\t Technology, Hoboken, NJ, USA. E-mail: bloom@cs.stevens.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zoltan","family":"\u00c9sik","sequence":"additional","affiliation":[{"name":"Department of Informatics, University of Szeged,\r\t\t\t Szeged, Hungary. E-mail: ze@inf.u-szeged.hu"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2010,5,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2010-255","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2010-255","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:33Z","timestamp":1777444353000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2010-255"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,5]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,5]]}},"alternative-id":["10.3233\/FI-2010-255"],"URL":"https:\/\/doi.org\/10.3233\/fi-2010-255","relation":{"is-cited-by":[{"id-type":"doi","id":"10.4204\/EPTCS.305.12","asserted-by":"object"}]},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,5]]}}}