{"id":"https://openalex.org/W2079012698","doi":"https://doi.org/10.1002/malq.19930390128","title":"A boolean transfer principle from L*\u2010Algebras to AL*\u2010Algebras","display_name":"A boolean transfer principle from L*\u2010Algebras to AL*\u2010Algebras","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2079012698","doi":"https://doi.org/10.1002/malq.19930390128","mag":"2079012698"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19930390128","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19930390128","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, Tsukuba, Ibaraki 305, Japan","Institute of Mathematics , University of Tsukuba , Tsukuba, Ibaraki, 305, Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305, Japan","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"Institute of Mathematics , University of Tsukuba , 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":0.5085,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6629599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"39","issue":"1","first_page":"241","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9940000176429749,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stones-representation-theorem-for-boolean-algebras","display_name":"Stone's representation theorem for Boolean algebras","score":0.7942022085189819},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7766252756118774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7512466907501221},{"id":"https://openalex.org/keywords/complete-boolean-algebra","display_name":"Complete Boolean algebra","score":0.7380568981170654},{"id":"https://openalex.org/keywords/free-boolean-algebra","display_name":"Free Boolean algebra","score":0.733884334564209},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.6574286818504333},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.5660843849182129},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5413027405738831},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5235735774040222},{"id":"https://openalex.org/keywords/boolean-algebras-canonically-defined","display_name":"Boolean algebras canonically defined","score":0.5049207806587219},{"id":"https://openalex.org/keywords/transfer","display_name":"Transfer (computing)","score":0.4413148760795593},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4342733919620514},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.4253140687942505},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3598620295524597},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.17348012328147888},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10612428188323975}],"concepts":[{"id":"https://openalex.org/C10021369","wikidata":"https://www.wikidata.org/wiki/Q1166774","display_name":"Stone's representation theorem for Boolean algebras","level":5,"score":0.7942022085189819},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7766252756118774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7512466907501221},{"id":"https://openalex.org/C81518389","wikidata":"https://www.wikidata.org/wiki/Q5156447","display_name":"Complete Boolean algebra","level":5,"score":0.7380568981170654},{"id":"https://openalex.org/C188159880","wikidata":"https://www.wikidata.org/wiki/Q5499761","display_name":"Free Boolean algebra","level":5,"score":0.733884334564209},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.6574286818504333},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.5660843849182129},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5413027405738831},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5235735774040222},{"id":"https://openalex.org/C45503250","wikidata":"https://www.wikidata.org/wiki/Q4943350","display_name":"Boolean algebras canonically defined","level":5,"score":0.5049207806587219},{"id":"https://openalex.org/C2776175482","wikidata":"https://www.wikidata.org/wiki/Q1195816","display_name":"Transfer (computing)","level":2,"score":0.4413148760795593},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4342733919620514},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.4253140687942505},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3598620295524597},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.17348012328147888},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10612428188323975},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19930390128","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19930390128","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":17,"referenced_works":["https://openalex.org/W1966405430","https://openalex.org/W1999645228","https://openalex.org/W2014722100","https://openalex.org/W2017393363","https://openalex.org/W2029071675","https://openalex.org/W2061679476","https://openalex.org/W2070266101","https://openalex.org/W2094342034","https://openalex.org/W2100335576","https://openalex.org/W2160651616","https://openalex.org/W2163304450","https://openalex.org/W2170041071","https://openalex.org/W2332626373","https://openalex.org/W4231562935","https://openalex.org/W4235288607","https://openalex.org/W4240201736","https://openalex.org/W4299791907"],"related_works":["https://openalex.org/W2940617399","https://openalex.org/W2037090414","https://openalex.org/W2369221237","https://openalex.org/W2064028328","https://openalex.org/W4256012180","https://openalex.org/W2377493875","https://openalex.org/W2377302330","https://openalex.org/W2349635818","https://openalex.org/W176883546","https://openalex.org/W4243997191"],"abstract_inverted_index":{"Abstract":[0],"Just":[1],"as":[2,12,69],"Kaplansky":[3],"[4]":[4],"has":[5],"introduced":[6],"the":[7,22,77],"notion":[8,23],"of":[9,15,24,31,33],"an":[10,25,34],"AW*\u2010module":[11],"a":[13,16,29,60,70],"generalization":[14,30],"complex":[17],"Hilbert":[18],"space,":[19],"we":[20,54],"introduce":[21],"AL*\u2010algebra,":[26],"which":[27,80],"is":[28,81],"that":[32],"L*\u2010algebra":[35],"invented":[36],"by":[37,47],"Schue":[38],"[9,":[39],"10].":[40],"By":[41],"using":[42],"Boolean":[43],"valued":[44],"methods":[45],"developed":[46],"Ozawa":[48],"[6\u20138],":[49],"Takeuti":[50],"[11\u201313]":[51],"and":[52],"others,":[53],"establish":[55],"its":[56],"basic":[57],"properties":[58],"including":[59],"fundamental":[61],"structure":[62],"theorem.":[63],"This":[64],"paper":[65,75],"should":[66],"be":[67],"regarded":[68],"continuation":[71],"or":[72],"our":[73],"previous":[74],"[5],":[76],"familiarity":[78],"with":[79],"presupposed.":[82],"MSC:":[83],"03C90,":[84],"03E40,":[85],"17B65,":[86],"46L10.":[87]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
