{"id":"https://openalex.org/W2093374072","doi":"https://doi.org/10.1002/malq.19940400110","title":"Boolean Valued and Stone Algebra Valued Measure Theories","display_name":"Boolean Valued and Stone Algebra Valued Measure Theories","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2093374072","doi":"https://doi.org/10.1002/malq.19940400110","mag":"2093374072"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19940400110","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19940400110","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111845461","display_name":"Hirokazu Nishimura","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hirokazu Nishimura","raw_affiliation_strings":["Institute of Mathematics, University of Tsukuba, Ibaraki 305, Japan","Institute of Mathematics University of Tsukuba Ibaraki 305 Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Tsukuba, Ibaraki 305, Japan","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"Institute of Mathematics University of Tsukuba Ibaraki 305 Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111845461"],"corresponding_institution_ids":["https://openalex.org/I146399215"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.25602537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"1","first_page":"69","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8349767923355103},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7728891372680664},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7464105486869812},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.5936451554298401},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5928792953491211},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5771183371543884},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4640340805053711},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36221587657928467},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22942984104156494},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08591455221176147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08253195881843567}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8349767923355103},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7728891372680664},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7464105486869812},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.5936451554298401},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5928792953491211},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5771183371543884},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4640340805053711},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36221587657928467},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22942984104156494},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08591455221176147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08253195881843567},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19940400110","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19940400110","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1966405430","https://openalex.org/W1978568978","https://openalex.org/W2026394899","https://openalex.org/W2043545064","https://openalex.org/W2050664688","https://openalex.org/W2061679476","https://openalex.org/W2084888671","https://openalex.org/W2091375029","https://openalex.org/W2100335576","https://openalex.org/W2113530026","https://openalex.org/W2163304450","https://openalex.org/W2170041071","https://openalex.org/W3142024887","https://openalex.org/W4250230659","https://openalex.org/W4255034261","https://openalex.org/W4299791907"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4388258507","https://openalex.org/W2392013855","https://openalex.org/W4318064328","https://openalex.org/W2357926602","https://openalex.org/W3200517220","https://openalex.org/W2052359815","https://openalex.org/W1495493211","https://openalex.org/W2000364634","https://openalex.org/W3105028440"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"conventional":[2],"generalization":[3],"of":[4,8,31,39,47,57,67],"the":[5,17,28,55,64],"main":[6,37],"results":[7],"classical":[9,29,68],"measure":[10,69],"theory":[11,70],"to":[12,43,53],"Stone":[13],"algebra":[14],"valued":[15],"measures,":[16],"values":[18],"that":[19,49],"measures":[20],"and":[21],"functions":[22],"can":[23],"take":[24],"are":[25],"Booleanized,":[26],"while":[27],"notion":[30,56],"a":[32,58],"\u03c3\u2010field":[33,59],"is":[34,42,71],"retained.":[35],"The":[36],"purpose":[38],"this":[40],"paper":[41],"show":[44],"by":[45],"abundace":[46],"illustrations":[48],"if":[50],"we":[51],"agree":[52],"Booleanize":[54],"as":[60],"well,":[61],"then":[62],"all":[63],"glorious":[65],"legacy":[66],"preserved":[72],"completely.":[73],"Mathematics":[74],"Subject":[75],"Classification:":[76],"03C90,":[77],"28B15.":[78]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}