{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T21:10:36Z","timestamp":1706649036335},"reference-count":10,"publisher":"Duke University Press","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Notre Dame J. Formal Logic"],"published-print":{"date-parts":[[2011,7,1]]},"DOI":"10.1215\/00294527-1435474","type":"journal-article","created":{"date-parts":[[2011,7,28]],"date-time":"2011-07-28T17:56:37Z","timestamp":1311875797000},"source":"Crossref","is-referenced-by-count":2,"title":["Depth of Boolean Algebras"],"prefix":"10.1215","volume":"52","author":[{"given":"Shimon","family":"Garti","sequence":"first","affiliation":[]},{"given":"Saharon","family":"Shelah","sequence":"additional","affiliation":[]}],"member":"73","reference":[{"key":"1","unstructured":"[1] Chang, C. C., and H. J. Keisler, <i>Model Theory<\/i>, vol. 73 of <i>Studies in Logic and the Foundations of Mathematics<\/i>, North-Holland Publishing Co., Amsterdam, 1973."},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] Donder, H.-D., \"Regularity of ultrafilters and the core model\", <i>Israel Journal of Mathematics<\/i>, vol. 63 (1988), pp. 289\u2013322.","DOI":"10.1007\/BF02778036"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] Garti, S., and S. Shelah, \"On Depth and Depth$^+$\" of Boolean algebras, <i>Algebra Universalis<\/i>, vol. 58 (2008), pp. 243\u201348.","DOI":"10.1007\/s00012-008-2065-1"},{"key":"5","doi-asserted-by":"crossref","unstructured":"[5] Monk, J. D., <i>Cardinal Functions on Boolean Algebras<\/i>, Lectures in Mathematics ETH Z\u00fcrich. Birkh\u00e4user Verlag, Basel, 1990.","DOI":"10.1007\/978-3-0348-6381-0"},{"key":"6","doi-asserted-by":"crossref","unstructured":"[6] Monk, J. D., <i>Cardinal Invariants on Boolean Algebras<\/i>, vol. 142 of <i>Progress in Mathematics<\/i>, Birkh\u00e4user Verlag, Basel, 1996.","DOI":"10.1007\/978-3-0346-0334-8"},{"key":"7","doi-asserted-by":"publisher","unstructured":"[7] Shelah, S., \"Products of regular cardinals and cardinal invariants of products of Boolean algebras\", <i>Israel Journal of Mathematics<\/i>, vol. 70 (1990), pp. 129\u201387.","DOI":"10.1007\/BF02807866"},{"key":"8","doi-asserted-by":"publisher","unstructured":"[8] Shelah, S., \"Applications of PCF\" theory, <i>The Journal of Symbolic Logic<\/i>, vol. 65 (2000), pp. 1624\u201374.","DOI":"10.2307\/2695067"},{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] Shelah, S., \"More constructions for Boolean algebras\", <i>Archive for Mathematical Logic<\/i>, vol. 41 (2002), pp. 401\u201341.","DOI":"10.1007\/s001530100099"},{"key":"10","doi-asserted-by":"publisher","unstructured":"[10] Shelah, S., \"The depth of ultraproducts of Boolean algebras\", <i>Algebra Universalis<\/i>, vol. 54 (2005), pp. 91\u201396.","DOI":"10.1007\/s00012-005-1925-1"},{"key":"4","doi-asserted-by":"crossref","unstructured":"[4] Garti, S., and S. Shelah, \"($\\kappa-\\theta$)-weak normality\", forthcoming in <i>Journal of the Mathematical Society of Japan<\/i>, (2011).","DOI":"10.2969\/jmsj\/06420549"}],"container-title":["Notre Dame Journal of Formal Logic"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/journalArticle\/Download?urlid=10.1215\/00294527-1435474","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T20:57:42Z","timestamp":1706648262000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/notre-dame-journal-of-formal-logic\/volume-52\/issue-3\/Depth-of-Boolean-Algebras\/10.1215\/00294527-1435474.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7,1]]},"references-count":10,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2011,7,1]]}},"URL":"https:\/\/doi.org\/10.1215\/00294527-1435474","relation":{},"ISSN":["0029-4527"],"issn-type":[{"value":"0029-4527","type":"print"}],"subject":[],"published":{"date-parts":[[2011,7,1]]}}}