{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T07:48:36Z","timestamp":1773820116117,"version":"3.50.1"},"reference-count":11,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3238,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1998,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A theory <jats:italic>T<\/jats:italic> is called almost \ud835\udca9<jats:sub>0<\/jats:sub>\u2010categorical if for any pure types <jats:italic>p<\/jats:italic><jats:sub>1<\/jats:sub>(<jats:italic>x<\/jats:italic><jats:sub>1<\/jats:sub>),\u2026,<jats:italic>p<jats:sub>n<\/jats:sub>(x<jats:sub>n<\/jats:sub>)<\/jats:italic> there are only finitely many pure types which extend <jats:italic>p<\/jats:italic><jats:sub>1<\/jats:sub>(<jats:italic>x<\/jats:italic><jats:sub>1<\/jats:sub>) \u222a\u2026\u222a<jats:italic>p<jats:sub>n<\/jats:sub>(x<jats:sub>n<\/jats:sub>)<\/jats:italic>. It is shown that if <jats:italic>T<\/jats:italic> is an almost \ud835\udca9<jats:sub>0<\/jats:sub>\u2010categorical theory with <jats:italic>I<\/jats:italic>(\ud835\udca9<jats:sub>0<\/jats:sub>,<jats:italic>T<\/jats:italic>) = 3, then a dense linear ordering is interpretable in <jats:italic>T<\/jats:italic>.<\/jats:p>","DOI":"10.1002\/malq.19980440203","type":"journal-article","created":{"date-parts":[[2007,5,31]],"date-time":"2007-05-31T02:25:54Z","timestamp":1180578354000},"page":"161-166","source":"Crossref","is-referenced-by-count":20,"title":["On Theories Having Three Countable Models"],"prefix":"10.1002","volume":"44","author":[{"given":"Koichiro","family":"Ikeda","sequence":"first","affiliation":[]},{"given":"Akito","family":"Tsuboi","sequence":"additional","affiliation":[]},{"given":"Anand","family":"Pillay","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/2275026"},{"key":"e_1_2_1_3_2","series-title":"Proceedings, Bucharest 1971","first-page":"45","volume-title":"Logic, Methodology and Philosophy of Science IV","author":"Lachlan A. H.","year":"1973"},{"key":"e_1_2_1_4_2","first-page":"196","volume-title":"Aspects of Effective Algebra","author":"Millar T.","year":"1981"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2275029"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01669839"},{"key":"e_1_2_1_7_2","unstructured":"Pillay A. Gaifman operations minimal models and the number of countable models. Ph. D. thesis Bedford College London University 1977."},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.2307\/2043741"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.2307\/2273190"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274332"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.2307\/2272044"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.2307\/2273520"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19980440203","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19980440203","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T12:22:23Z","timestamp":1698495743000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19980440203"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["10.1002\/malq.19980440203"],"URL":"https:\/\/doi.org\/10.1002\/malq.19980440203","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,1]]}}}