{"id":"https://openalex.org/W2593290804","doi":"https://doi.org/10.1007/s001530100099","title":"More constructions for Boolean algebras","display_name":"More constructions for Boolean algebras","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W2593290804","doi":"https://doi.org/10.1007/s001530100099","mag":"2593290804"},"language":"en","primary_location":{"id":"doi:10.1007/s001530100099","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530100099","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","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/A5024923217","display_name":"Saharon Shelah","orcid":"https://orcid.org/0000-0003-0462-3152"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]},{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["IL","US"],"is_corresponding":true,"raw_author_name":"Saharon Shelah","raw_affiliation_strings":["Institute of Mathematics, The Hebrew University, Givat Ram, Jerusalem 91904, Israel (e-mail: shelah@math.huji.ac.il) and Rutgers University, Mathematics Department, New Brunswick, NJ, USA, , , , , , US","Rutgers University Mathematics Department New Brunswick, NJ USA","Institute of Mathematics The Hebrew University Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Givat Ram, Jerusalem 91904, Israel (e-mail: shelah@math.huji.ac.il) and Rutgers University, Mathematics Department, New Brunswick, NJ, USA, , , , , , US","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Rutgers University Mathematics Department New Brunswick, NJ USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Institute of Mathematics The Hebrew University Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024923217"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I197251160"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4452,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81447566,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"5","first_page":"401","last_page":"441"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9966999888420105,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9894000291824341,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.836800217628479},{"id":"https://openalex.org/keywords/stones-representation-theorem-for-boolean-algebras","display_name":"Stone's representation theorem for Boolean algebras","score":0.7139723896980286},{"id":"https://openalex.org/keywords/free-boolean-algebra","display_name":"Free Boolean algebra","score":0.6826284527778625},{"id":"https://openalex.org/keywords/complete-boolean-algebra","display_name":"Complete Boolean algebra","score":0.6584406495094299},{"id":"https://openalex.org/keywords/boolean-algebras-canonically-defined","display_name":"Boolean algebras canonically defined","score":0.6208856105804443},{"id":"https://openalex.org/keywords/interior-algebra","display_name":"Interior algebra","score":0.5627052783966064},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.48100098967552185},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.4809236228466034},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.4723545014858246},{"id":"https://openalex.org/keywords/boolean-prime-ideal-theorem","display_name":"Boolean prime ideal theorem","score":0.4519750773906708},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4470067024230957},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42543458938598633},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.41616255044937134},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35266125202178955},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2776254117488861},{"id":"https://openalex.org/keywords/non-associative-algebra","display_name":"Non-associative algebra","score":0.27182307839393616},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.15796074271202087},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.11153334379196167}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.836800217628479},{"id":"https://openalex.org/C10021369","wikidata":"https://www.wikidata.org/wiki/Q1166774","display_name":"Stone's representation theorem for Boolean algebras","level":5,"score":0.7139723896980286},{"id":"https://openalex.org/C188159880","wikidata":"https://www.wikidata.org/wiki/Q5499761","display_name":"Free Boolean algebra","level":5,"score":0.6826284527778625},{"id":"https://openalex.org/C81518389","wikidata":"https://www.wikidata.org/wiki/Q5156447","display_name":"Complete Boolean algebra","level":5,"score":0.6584406495094299},{"id":"https://openalex.org/C45503250","wikidata":"https://www.wikidata.org/wiki/Q4943350","display_name":"Boolean algebras canonically defined","level":5,"score":0.6208856105804443},{"id":"https://openalex.org/C203254541","wikidata":"https://www.wikidata.org/wiki/Q10894825","display_name":"Interior algebra","level":5,"score":0.5627052783966064},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.48100098967552185},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.4809236228466034},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4723545014858246},{"id":"https://openalex.org/C175958551","wikidata":"https://www.wikidata.org/wiki/Q872088","display_name":"Boolean prime ideal theorem","level":3,"score":0.4519750773906708},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4470067024230957},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42543458938598633},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.41616255044937134},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35266125202178955},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2776254117488861},{"id":"https://openalex.org/C518143113","wikidata":"https://www.wikidata.org/wiki/Q4391941","display_name":"Non-associative algebra","level":4,"score":0.27182307839393616},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.15796074271202087},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.11153334379196167}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s001530100099","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530100099","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W155697877","https://openalex.org/W1487303443","https://openalex.org/W1595388840","https://openalex.org/W1675833220","https://openalex.org/W1777877970","https://openalex.org/W1806402352","https://openalex.org/W1990284484","https://openalex.org/W1998825076","https://openalex.org/W2007936948","https://openalex.org/W2028792087","https://openalex.org/W2032867052","https://openalex.org/W2058293843","https://openalex.org/W2072137840","https://openalex.org/W2107195257","https://openalex.org/W2122408715","https://openalex.org/W2154362837","https://openalex.org/W2530098671","https://openalex.org/W3145967443"],"related_works":["https://openalex.org/W2951697398","https://openalex.org/W2064128553","https://openalex.org/W2785885914","https://openalex.org/W4300190062","https://openalex.org/W1496446432","https://openalex.org/W2030362615","https://openalex.org/W4256012180","https://openalex.org/W4308506997","https://openalex.org/W2358834649","https://openalex.org/W2000260263"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}