{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T20:21:30Z","timestamp":1648585290341},"reference-count":5,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":6310,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1996,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We give a solution stated in the title to problem 3 of part 1 of the problems listed in the book of Eklof and Mekler [2], p. 453. There, in pp. 241-242, this is discussed and proved in some cases. The existence of strongly <jats:italic>\u03bb<\/jats:italic>-free ones was proved earlier by the criteria in [5] and [3]. We can apply a similar proof to a large class of other varieties in particular to the variety of (non-commutative) groups.<\/jats:p>","DOI":"10.2307\/2275815","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:59:54Z","timestamp":1146956394000},"page":"1261-1278","source":"Crossref","is-referenced-by-count":22,"title":["If there is an exactly <i>\u03bb<\/i>-free abelian group then there is an exactly <i>\u03bb<\/i>-separable one in <i>\u03bb<\/i>"],"prefix":"10.1017","volume":"61","author":[{"given":"Saharon","family":"Shelah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200016881_ref002","volume-title":"Almost free modules; Set theoretic methods","author":"Eklof","year":"1990"},{"key":"S0022481200016881_ref003","first-page":"137","volume-title":"Abelian group theory (Oberwolfach 1985)","author":"Mekler","year":"1987"},{"key":"S0022481200016881_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(88)90049-8"},{"key":"S0022481200016881_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02808203"},{"key":"S0022481200016881_ref005","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093870869"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200016881","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,12]],"date-time":"2019-05-12T19:59:17Z","timestamp":1557691157000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200016881\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,12]]},"references-count":5,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1996,12]]}},"alternative-id":["S0022481200016881"],"URL":"https:\/\/doi.org\/10.2307\/2275815","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,12]]}}}