{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T06:17:03Z","timestamp":1773382623579,"version":"3.50.1"},"reference-count":6,"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":5671,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1998,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We continue the study of simple theories begun in [3] and [5]. We first find the right analogue of definability of types. We then develop the theory of generic types and stabilizers for groups definable in simple theories. The general ideology is that the role of formulas (or definability) in stable theories is replaced by partial types (or \u221e-definability) in simple theories.<\/jats:p>","DOI":"10.2307\/2586712","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T14:01:28Z","timestamp":1146924088000},"page":"788-796","source":"Crossref","is-referenced-by-count":18,"title":["Definability and definable groups in simple theories"],"prefix":"10.1017","volume":"63","author":[{"given":"Anand","family":"Pillay","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200014596_ref003","unstructured":"Kim B. , Forking in simple unstable theories, Journal of the London Mathematical Society , to appear."},{"key":"S0022481200014596_ref005","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(97)00019-5"},{"key":"S0022481200014596_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/BF02758643"},{"key":"S0022481200014596_ref001","unstructured":"Hrushovski E. , manuscript on PAC structures, 1992."},{"key":"S0022481200014596_ref004","unstructured":"Kim B. , Simple first order theories, Ph.D. thesis, University of Notre Dame, 1996."},{"key":"S0022481200014596_ref006","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(80)90009-1"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200014596","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T16:20:54Z","timestamp":1557505254000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200014596\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,9]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1998,9]]}},"alternative-id":["S0022481200014596"],"URL":"https:\/\/doi.org\/10.2307\/2586712","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,9]]}}}