{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,5,3]],"date-time":"2023-05-03T06:11:06Z","timestamp":1683094266103},"reference-count":15,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":10146,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1986,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>C. U. Jensen suggested the following construction, starting from a field<jats:italic>K<\/jats:italic>:<\/jats:p><jats:p><jats:disp-formula><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" orientation=\"portrait\" mime-subtype=\"gif\" mimetype=\"image\" position=\"float\" xlink:type=\"simple\" xlink:href=\"S0022481200031200_eqnU1\" \/><\/jats:disp-formula><\/jats:p><jats:p>and asked when two fields<jats:italic>K<jats:sub>\u03b1<\/jats:sub><\/jats:italic>and<jats:italic>K<jats:sub>\u03b2<\/jats:sub><\/jats:italic>are equivalent. We give a complete answer in the case of a field<jats:italic>K<\/jats:italic>of characteristic 0.<\/jats:p>","DOI":"10.1017\/s0022481200031200","type":"journal-article","created":{"date-parts":[[2014,3,13]],"date-time":"2014-03-13T12:44:02Z","timestamp":1394714642000},"page":"334-351","source":"Crossref","is-referenced-by-count":0,"title":["P\u00e9riodicit\u00e9 des th\u00e9ories \u00e9l\u00e9mentaires des corps de s\u00e9ries formelles it\u00e9r\u00e9es"],"prefix":"10.1017","volume":"51","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":"S0022481200031200_ref015","volume-title":"Model theory of ordered Abelian groups","author":"Schmitt","year":"1982"},{"key":"S0022481200031200_ref002","volume-title":"Model theory","author":"Chang","year":"1973"},{"key":"S0022481200031200_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/BF01214188"},{"key":"S0022481200031200_ref007","doi-asserted-by":"publisher","DOI":"10.4064\/fm-47-1-57-103"},{"key":"S0022481200031200_ref009","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(77)90014-6"},{"key":"S0022481200031200_ref008","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1090\/trans2\/046\/09","article-title":"Elementary properties of ordered Abelian groups","volume":"46","author":"Gurevich","year":"1965","journal-title":"American Mathematical Society Translations"},{"key":"S0022481200031200_ref011","first-page":"65","article-title":"Arithmetical classes and types of well ordered systems","volume":"55","author":"Mostowski","year":"1949","journal-title":"Bulletin of the American Mathematical Society"},{"key":"S0022481200031200_ref005","doi-asserted-by":"publisher","DOI":"10.4064\/fm-65-1-95-127"},{"key":"S0022481200031200_ref010","volume-title":"El\u00e9ments de logique math\u00e9matique","author":"Kreisel","year":"1967"},{"key":"S0022481200031200_ref003","volume-title":"Logique","author":"Delon","year":"1983"},{"key":"S0022481200031200_ref013","volume-title":"Th\u00e9orie des valuations","author":"Ribenbo\u00efm","year":"1964"},{"key":"S0022481200031200_ref001","first-page":"846","article-title":"On the undecidability of power series fields","volume":"16","author":"Ax","year":"1965","journal-title":"Proceedings of the American Mathematical Society"},{"key":"S0022481200031200_ref012","article-title":"Produits lexicographiques de groupes ordonn\u00e9s: Isomorphisme et \u00e9quivalence \u00e9l\u00e9mentaire","author":"Oger","journal-title":"Journal of Algebra"},{"key":"S0022481200031200_ref014","unstructured":"Schmitt P. , Elementary properties of ordered Abelian groups (to appear)."},{"key":"S0022481200031200_ref004","first-page":"1","volume-title":"Logic Colloquium '77","author":"Doner","year":"1978"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200031200","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,3]],"date-time":"2023-05-03T05:53:36Z","timestamp":1683093216000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200031200\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,6]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1986,6]]}},"alternative-id":["S0022481200031200"],"URL":"https:\/\/doi.org\/10.1017\/s0022481200031200","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1986,6]]}}}