{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,23]],"date-time":"2023-03-23T04:04:37Z","timestamp":1679544277830},"reference-count":5,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":8228,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1991,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We study the structures (<jats:italic>K<\/jats:italic> \u2282 <jats:italic>K<\/jats:italic><jats:sup>r<\/jats:sup>), where <jats:italic>K<\/jats:italic> is an ordered field and <jats:italic>K<\/jats:italic><jats:sup>r<\/jats:sup> its real closure, in the language of ordered fields with an additional unary predicate for the subfield <jats:italic>K<\/jats:italic>. Two such structures (<jats:italic>K<\/jats:italic> \u2282 <jats:italic>K<\/jats:italic><jats:sup>r<\/jats:sup>) and (<jats:italic>L<\/jats:italic> \u2282 <jats:italic>L<\/jats:italic><jats:sup>r<\/jats:sup>) are not necessarily elementary equivalent when <jats:italic>K<\/jats:italic> and <jats:italic>L<\/jats:italic> are. But with some saturation assumption on <jats:italic>K<\/jats:italic> and <jats:italic>L<\/jats:italic>, then the two structures become equivalent, and we give a description of the complete theory.<\/jats:p>","DOI":"10.2307\/2275065","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:41:03Z","timestamp":1146955263000},"page":"974-980","source":"Crossref","is-referenced-by-count":2,"title":["Plongement dense d'un corps ordonn\u00e9 dans sa cl\u00f4ture r\u00e9elle"],"prefix":"10.1017","volume":"56","author":[{"given":"Fran\u00e7oise","family":"Delon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200024130_ref001","doi-asserted-by":"crossref","DOI":"10.24033\/msmf.334","volume-title":"Id\u00e9aux et types sur les corps s\u00e9parablement clos","author":"Delon","year":"1988"},{"key":"S0022481200024130_ref002","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1307\/mmj\/1028999037","article-title":"Complete theories of algebraically closed fields with distinguished subfields","volume":"11","author":"Keisler","year":"1964","journal-title":"Michigan Mathematical Journal"},{"key":"S0022481200024130_ref004","first-page":"98","volume":"14","author":"Robinson","year":"1949","journal-title":"Definability and decision problems in arithmetic"},{"key":"S0022481200024130_ref003","first-page":"329","article-title":"Elementare Schemata nichtelementare Axiome","volume":"13","author":"Rautenberg","year":"1967","journal-title":"Zeitschrift f\u00fcr Mathematische Logik und Grundlagen der Mathematik"},{"key":"S0022481200024130_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1987-0866447-8"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200024130","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T10:34:23Z","timestamp":1679481263000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200024130\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,9]]},"references-count":5,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1991,9]]}},"alternative-id":["S0022481200024130"],"URL":"https:\/\/doi.org\/10.2307\/2275065","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,9]]}}}