{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T16:07:54Z","timestamp":1649002074353},"reference-count":6,"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":12703,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1979,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove there are theories (stable or countable) for which over every <jats:italic>A<\/jats:italic> there is a prime model but it is not necessarily unique. We also give a simplified proof of the uniqueness theorem for countable stable theories.<\/jats:p>","DOI":"10.2307\/2273729","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T21:50:09Z","timestamp":1146952209000},"page":"215-220","source":"Crossref","is-referenced-by-count":3,"title":["On uniqueness of prime models"],"prefix":"10.1017","volume":"44","author":[{"given":"Saharon","family":"Shelah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200048933_ref003","volume-title":"Classification theory and the number of non-isomorphic models","author":"Shelah"},{"key":"S0022481200048933_ref001","volume-title":"Model theory","author":"Chang","year":"1973"},{"key":"S0022481200048933_ref002","volume-title":"Saturated model theory","author":"Sacks","year":"1970"},{"key":"S0022481200048933_ref004","first-page":"241","article-title":"The lazy model-theorist's guide to stability","volume":"71","author":"Shelah","year":"1975","journal-title":"Proceedings of a Symposium on Model Theory, Louvain, 1975, Logique et Analyse"},{"key":"S0022481200048933_ref005","first-page":"107","volume":"37","author":"Shelah","year":"1972","journal-title":"Uniqueness and characterization of prime models over sets for totally transcendental theories"},{"key":"S0022481200048933_ref006","first-page":"303","volume-title":"Infinistic methods, Proceedings of the Symposium on Foundations of Mathematics, Warsaw, 1959","author":"Vaught","year":"1961"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200048933","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,26]],"date-time":"2019-05-26T21:20:45Z","timestamp":1558905645000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200048933\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1979,6]]},"references-count":6,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1979,6]]}},"alternative-id":["S0022481200048933"],"URL":"https:\/\/doi.org\/10.2307\/2273729","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1979,6]]}}}