{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,21]],"date-time":"2023-08-21T15:54:07Z","timestamp":1692633247929},"reference-count":4,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":4759,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2001,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove that the strong Martin conjecture is false. The counterexample is the first-order theory of infinite atomic Boolean algebras. We show that for this class of Boolean algebras, the classification of their (<jats:italic>\u03c9<\/jats:italic> + <jats:italic>\u03c9<\/jats:italic>)-elementary theories can be reduced to the classification of the elementary theories of their quotient algrbras modulo the Frech\u00e9t ideals.<\/jats:p>","DOI":"10.2307\/2694929","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T14:03:53Z","timestamp":1146924233000},"page":"401-406","source":"Crossref","is-referenced-by-count":1,"title":["A remark on Martin's Conjecture"],"prefix":"10.1017","volume":"66","author":[{"given":"Su","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200011397_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(82)90015-8"},{"key":"S0022481200011397_ref003","volume-title":"Handbook of Boolean Algrbras","volume":"1","author":"Koppelberg","year":"1989"},{"key":"S0022481200011397_ref002","doi-asserted-by":"publisher","DOI":"10.4064\/cm-62-2-181-187"},{"key":"S0022481200011397_ref001","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511551574"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200011397","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T20:45:57Z","timestamp":1557261957000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200011397\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,3]]},"references-count":4,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2001,3]]}},"alternative-id":["S0022481200011397"],"URL":"https:\/\/doi.org\/10.2307\/2694929","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,3]]}}}