{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T08:16:03Z","timestamp":1772180163039,"version":"3.50.1"},"reference-count":6,"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":376,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2013,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We introduce the notions of a mutually algebraic structures and theories and prove many equivalents. A theory <jats:italic>T<\/jats:italic> is mutually algebraic if and only if it is weakly minimal and trivial if and only if no model <jats:italic>M<\/jats:italic> of <jats:italic>T<\/jats:italic> has an expansion (<jats:italic>M, A<\/jats:italic>) by a unary predicate with the finite cover property. We show that every structure has a maximal mutually algebraic reduct. and give a strong structure theorem for the class of elementary extensions of a fixed mutually algebraic structure.<\/jats:p>","DOI":"10.2178\/jsl.7801120","type":"journal-article","created":{"date-parts":[[2013,1,23]],"date-time":"2013-01-23T14:38:23Z","timestamp":1358951903000},"page":"185-194","source":"Crossref","is-referenced-by-count":17,"title":["Mutually algebraic structures and expansions by predicates"],"prefix":"10.1017","volume":"78","author":[{"given":"Michael C.","family":"Laskowski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200000347_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-008-0116-0"},{"key":"S0022481200000347_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-006-0019-x"},{"key":"S0022481200000347_ref002","first-page":"1291","volume":"58","author":"Baldwin","year":"1993","journal-title":"Forcing isomorphism"},{"key":"S0022481200000347_ref001","first-page":"1243","volume":"69","author":"Baizhanov","year":"2004","journal-title":"Local homogeneity"},{"key":"S0022481200000347_ref003","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093870870"},{"key":"S0022481200000347_ref006","volume-title":"Classification theory","author":"Shelah","year":"1990"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200000347","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T19:11:45Z","timestamp":1556133105000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200000347\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3]]},"references-count":6,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2013,3]]}},"alternative-id":["S0022481200000347"],"URL":"https:\/\/doi.org\/10.2178\/jsl.7801120","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3]]}}}