{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T17:18:54Z","timestamp":1773249534660,"version":"3.50.1"},"reference-count":13,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2005,8,3]],"date-time":"2005-08-03T00:00:00Z","timestamp":1123027200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2005,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We succeed to say something on the identities of (<jats:italic>\u03bc<\/jats:italic><jats:sup>+<\/jats:sup>, <jats:italic>\u03bc<\/jats:italic>) when <jats:italic>\u03bc<\/jats:italic> &gt; <jats:italic>\u03b8<\/jats:italic> &gt; cf(<jats:italic>\u03bc<\/jats:italic>) with <jats:italic>\u03bc<\/jats:italic> strong limit <jats:italic>\u03b8<\/jats:italic>\u2010compact or even <jats:italic>\u03bc<\/jats:italic> is limit of compact cardinals. (\u00a9 2005 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200410036","type":"journal-article","created":{"date-parts":[[2005,8,3]],"date-time":"2005-08-03T20:53:06Z","timestamp":1123102386000},"page":"437-447","source":"Crossref","is-referenced-by-count":2,"title":["Two cardinals models with gap one revisited"],"prefix":"10.1002","volume":"51","author":[{"given":"Saharon","family":"Shelah","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2005,8,3]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"E. G.Furkhen Languages with added quanti. er \u201cthere exist at least \u2135\u03b1\u201d. In: The Theory of Models (J. V. Addison L. A. Henkin and A. Tarski eds.) pp. 121\u2013131 (North\u2010Holland Publishing Company Amsterdam 1965)."},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.2307\/2275784"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.2307\/2275632"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0003-4843(70)80005-5"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(72)90017-4"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.7146\/math.scand.a-10648"},{"key":"e_1_2_1_8_2","unstructured":"S.Shelah The pair (\u2135n \u21350) may fail \u21350\u2010compactness. In: Proceedings of LC'2001 (M. Baaz S. Friedman and J. Krajicek eds.) Lecture Notes in Logic 20 Assoc. Symbolic Logic pp. 402\u2013433; math. LO\/0404240)6).6)References of the form math.LO\/\u2026 refer to the xxx.lanl.gov archive. The papers are also available under http:\/\/www.front.math.ucdavis.edu\/math.LO\/\u2026."},{"key":"e_1_2_1_9_2","first-page":"425","article-title":"Two cardinal and power like models: compactness and large group of automorphisms","volume":"18","author":"Shelah S.","year":"1968","journal-title":"Notices Amer. Math. Soc."},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02771584"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.2307\/2041962"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(78)90017-7"},{"key":"e_1_2_1_13_2","unstructured":"S.Shelah andJ.V\u00e4\u00e4n\u00e4nen Recursive logic frames. Math. Logic Quarterly (to appear); math. LO\/0405016)6).6)References of the form math.LO\/\u2026 refer to the xxx.lanl.gov archive. The papers are also available under http:\/\/www.front.math.ucdavis.edu\/math.LO\/\u2026."},{"key":"e_1_2_1_14_2","unstructured":"S.Shelah andJ.V\u00e4\u00e4n\u00e4nen On the method of identities. Manuscript 2004; available under: http:\/\/www.crm.es\/Publications\/04\/pr593.pdf."}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.200410036","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.200410036","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,12]],"date-time":"2023-10-12T10:58:31Z","timestamp":1697108311000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.200410036"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,8,3]]},"references-count":13,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2005,9]]}},"alternative-id":["10.1002\/malq.200410036"],"URL":"https:\/\/doi.org\/10.1002\/malq.200410036","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,8,3]]}}}