{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:23:06Z","timestamp":1740108186853,"version":"3.37.3"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2020,9,27]],"date-time":"2020-09-27T00:00:00Z","timestamp":1601164800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,27]],"date-time":"2020-09-27T00:00:00Z","timestamp":1601164800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100000608","name":"London Mathematical Society","doi-asserted-by":"publisher","award":["Early Career Fellowship"],"award-info":[{"award-number":["Early Career Fellowship"]}],"id":[{"id":"10.13039\/501100000608","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Arch. Math. Logic"],"published-print":{"date-parts":[[2021,5]]},"DOI":"10.1007\/s00153-020-00750-7","type":"journal-article","created":{"date-parts":[[2020,9,27]],"date-time":"2020-09-27T16:02:20Z","timestamp":1601222540000},"page":"425-439","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Keisler\u2019s order via Boolean ultrapowers"],"prefix":"10.1007","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3438-8635","authenticated-orcid":false,"given":"Francesco","family":"Parente","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,9,27]]},"reference":[{"issue":"2","key":"750_CR1","doi-asserted-by":"publisher","first-page":"607","DOI":"10.1090\/S0002-9947-1982-0675069-3","volume":"274","author":"B Balcar","year":"1982","unstructured":"Balcar, B., Franek, F.: Independent families in complete Boolean algebras. Trans. Am. Math. Soc. 274(2), 607\u2013618 (1982)","journal-title":"Trans. Am. Math. Soc."},{"issue":"2","key":"750_CR2","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1090\/S0002-9939-1974-0357107-1","volume":"46","author":"M Benda","year":"1974","unstructured":"Benda, M.: Note on Boolean ultrapowers. Proc. Am. Math. Soc. 46(2), 289\u2013293 (1974)","journal-title":"Proc. Am. Math. Soc."},{"issue":"3","key":"750_CR3","doi-asserted-by":"publisher","first-page":"195","DOI":"10.4064\/fm-51-3-195-228","volume":"51","author":"T Frayne","year":"1962","unstructured":"Frayne, T., Morel, A.C., Scott, D.S.: Reduced direct products. Fund. Math. 51(3), 195\u2013228 (1962)","journal-title":"Fund. Math."},{"key":"750_CR4","unstructured":"Hamkins, J.D., Seabold, D.E.: Well-founded Boolean ultrapowers as large cardinal embeddings, pp. 1\u201340 (2012). arXiv:1206.6075 [math.LO]"},{"issue":"2","key":"750_CR5","doi-asserted-by":"publisher","first-page":"338","DOI":"10.2307\/1970549","volume":"79","author":"HJ Keisler","year":"1964","unstructured":"Keisler, H.J.: Good ideals in fields of sets. Ann. Math. 79(2), 338\u2013359 (1964)","journal-title":"Ann. Math."},{"issue":"4","key":"750_CR6","doi-asserted-by":"publisher","first-page":"644","DOI":"10.1090\/S0002-9904-1964-11219-2","volume":"70","author":"HJ Keisler","year":"1964","unstructured":"Keisler, H.J.: On cardinalities of ultraproducts. Bull. Am. Math. Soc. 70(4), 644\u2013647 (1964)","journal-title":"Bull. Am. Math. Soc."},{"key":"750_CR7","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1016\/S1385-7258(64)50021-9","volume":"67","author":"HJ Keisler","year":"1964","unstructured":"Keisler, H.J.: Ultraproducts and saturated models. Indag. Math. (Proc.) 67, 178\u2013186 (1964)","journal-title":"Indag. Math. (Proc.)"},{"issue":"1","key":"750_CR8","doi-asserted-by":"publisher","first-page":"23","DOI":"10.2307\/2271240","volume":"32","author":"HJ Keisler","year":"1967","unstructured":"Keisler, H.J.: Ultraproducts which are not saturated. J. Symb. Log. 32(1), 23\u201346 (1967)","journal-title":"J. Symb. Log."},{"key":"750_CR9","doi-asserted-by":"publisher","first-page":"250","DOI":"10.1016\/j.aim.2013.08.027","volume":"249","author":"M Malliaris","year":"2013","unstructured":"Malliaris, M., Shelah, S.: A dividing line within simple unstable theories. Adv. Math. 249, 250\u2013288 (2013)","journal-title":"Adv. Math."},{"issue":"3","key":"750_CR10","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1016\/0003-4843(71)90017-9","volume":"2","author":"R Mansfield","year":"1971","unstructured":"Mansfield, R.: The theory of Boolean ultrapowers. Ann. Math. Log. 2(3), 297\u2013323 (1971)","journal-title":"Ann. Math. Log."},{"key":"750_CR11","unstructured":"Parente, F.: Boolean valued models, saturation, forcing axioms. Master\u2019s thesis, Universit\u00e0 di Pisa (2015)"},{"key":"750_CR12","first-page":"41","volume":"2081","author":"F Parente","year":"2018","unstructured":"Parente, F.: On regular ultrafilters, Boolean ultrapowers, and Keisler\u2019s order. RIMS K\u014dky\u016broku 2081, 41\u201356 (2018)","journal-title":"RIMS K\u014dky\u016broku"},{"key":"750_CR13","unstructured":"Shelah, S.: Atomic saturation of reduced powers, pp. 1\u201338 (2016). arXiv:1601.04824 [math.LO]"},{"key":"750_CR14","unstructured":"Ulrich, D.: Keisler\u2019s order and full Boolean-valued models, pp. 1\u201332 (2018). arXiv:1810.05335 [math.LO]"}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-020-00750-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00153-020-00750-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-020-00750-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,26]],"date-time":"2021-09-26T23:19:54Z","timestamp":1632698394000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00153-020-00750-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,27]]},"references-count":14,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2021,5]]}},"alternative-id":["750"],"URL":"https:\/\/doi.org\/10.1007\/s00153-020-00750-7","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"type":"print","value":"0933-5846"},{"type":"electronic","value":"1432-0665"}],"subject":[],"published":{"date-parts":[[2020,9,27]]},"assertion":[{"value":"25 July 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 September 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 September 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}