{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T13:42:29Z","timestamp":1698327749738},"reference-count":13,"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":5064,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1993,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Just as Kaplansky [4] has introduced the notion of an AW*\u2010module as a generalization of a complex Hilbert space, we introduce the notion of an AL*\u2010algebra, which is a generalization of that of an L*\u2010algebra invented by Schue [9, 10]. By using Boolean valued methods developed by Ozawa [6\u20138], Takeuti [11\u201313] and others, we establish its basic properties including a fundamental structure theorem. This paper should be regarded as a continuation or our previous paper [5], the familiarity with which is presupposed. MSC: 03C90, 03E40, 17B65, 46L10.<\/jats:p>","DOI":"10.1002\/malq.19930390128","type":"journal-article","created":{"date-parts":[[2007,6,3]],"date-time":"2007-06-03T01:53:31Z","timestamp":1180835611000},"page":"241-250","source":"Crossref","is-referenced-by-count":1,"title":["A boolean transfer principle from L*\u2010Algebras to AL*\u2010Algebras"],"prefix":"10.1002","volume":"39","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","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(68)90007-4"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.2307\/1994762"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01350738"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2372552"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274714"},{"key":"e_1_2_1_7_2","first-page":"609","article-title":"Boolean valued interpretation of Hilbert space theory","volume":"36","author":"Ozawa M.","year":"1984","journal-title":"J. Math. Soc. Japan"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/03640589"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-32.1.141"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.2307\/1993330"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.2307\/1993500"},{"key":"e_1_2_1_12_2","volume-title":"Two Applications of Logic to Mathematics","author":"Takeuti G.","year":"1978"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.2307\/2273134"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/03510001"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19930390128","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19930390128","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,25]],"date-time":"2023-10-25T20:58:43Z","timestamp":1698267523000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19930390128"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,1]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1993,1]]}},"alternative-id":["10.1002\/malq.19930390128"],"URL":"https:\/\/doi.org\/10.1002\/malq.19930390128","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,1]]}}}