{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T06:10:21Z","timestamp":1698127821872},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":4699,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1994,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In conventional generalization of the main results of classical measure theory to Stone algebra valued measures, the values that measures and functions can take are Booleanized, while the classical notion of a \u03c3\u2010field is retained. The main purpose of this paper is to show by abundace of illustrations that if we agree to Booleanize the notion of a \u03c3\u2010field as well, then all the glorious legacy of classical measure theory is preserved completely.<\/jats:p><jats:p><jats:bold>Mathematics Subject Classification:<\/jats:bold> 03C90, 28B15.<\/jats:p>","DOI":"10.1002\/malq.19940400110","type":"journal-article","created":{"date-parts":[[2007,6,3]],"date-time":"2007-06-03T01:55:06Z","timestamp":1180835706000},"page":"69-75","source":"Crossref","is-referenced-by-count":0,"title":["Boolean Valued and Stone Algebra Valued Measure Theories"],"prefix":"10.1002","volume":"40","author":[{"given":"Hirokazu","family":"Nishimura","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Measure and Integration","author":"Berberian S. K.","year":"1965"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9440-2"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.2977\/prims\/1195180884"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19900360511"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274714"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19910370502"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/03540609"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/03640589"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-32.1.141"},{"key":"e_1_2_1_11_2","volume-title":"Two Applications of Logic to Mathematics","author":"Takeuti G.","year":"1978"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.2307\/2273134"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-45.2.193"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-19.1.107"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.2307\/1995307"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/24.1.189"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19940400110","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19940400110","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T00:48:58Z","timestamp":1698108538000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19940400110"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,1]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1994,1]]}},"alternative-id":["10.1002\/malq.19940400110"],"URL":"https:\/\/doi.org\/10.1002\/malq.19940400110","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,1]]}}}