{"id":"https://openalex.org/W2054745748","doi":"https://doi.org/10.1007/s001530050004","title":"On completeness of the quotient algebras ${\\cal P}(\\kappa)/I$","display_name":"On completeness of the quotient algebras ${\\cal P}(\\kappa)/I$","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W2054745748","doi":"https://doi.org/10.1007/s001530050004","mag":"2054745748"},"language":"en","primary_location":{"id":"doi:10.1007/s001530050004","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050004","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/A5042809009","display_name":"Yasuo Kanai","orcid":null},"institutions":[{"id":"https://openalex.org/I131361393","display_name":"National Institute of Technology, Toyota College","ror":"https://ror.org/01nw25822","country_code":"JP","type":"education","lineage":["https://openalex.org/I131361393"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yasuo Kanai","raw_affiliation_strings":["Toyota National College of Technology, 2-1 Eisei-cho Toyota, Aichi 471-8525, Japan (e-mail:Kanai@toyota-ct.ac.jp)\n, , , , , , JP","Toyota National College of Technology, 2-1 Eisei-cho Toyota, Aichi 471-8525, Japan (e-mail:Kanai@toyota-ct.ac.jp)#N#, , JP"],"affiliations":[{"raw_affiliation_string":"Toyota National College of Technology, 2-1 Eisei-cho Toyota, Aichi 471-8525, Japan (e-mail:Kanai@toyota-ct.ac.jp)\n, , , , , , JP","institution_ids":["https://openalex.org/I131361393"]},{"raw_affiliation_string":"Toyota National College of Technology, 2-1 Eisei-cho Toyota, Aichi 471-8525, Japan (e-mail:Kanai@toyota-ct.ac.jp)#N#, , JP","institution_ids":["https://openalex.org/I131361393"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042809009"],"corresponding_institution_ids":["https://openalex.org/I131361393"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17561926,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"2","first_page":"75","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9962999820709229,"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":0.9962999820709229,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9815999865531921,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9350000023841858,"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/regular-cardinal","display_name":"Regular cardinal","score":0.8446238040924072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8171569108963013},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.749038815498352},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6500510573387146},{"id":"https://openalex.org/keywords/kappa","display_name":"Kappa","score":0.6386528015136719},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6264873147010803},{"id":"https://openalex.org/keywords/uncountable-set","display_name":"Uncountable set","score":0.44999539852142334},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3805127739906311},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32278192043304443},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2545838952064514},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.09294891357421875},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06985580921173096}],"concepts":[{"id":"https://openalex.org/C89507440","wikidata":"https://www.wikidata.org/wiki/Q1193137","display_name":"Regular cardinal","level":2,"score":0.8446238040924072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8171569108963013},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.749038815498352},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6500510573387146},{"id":"https://openalex.org/C2778724333","wikidata":"https://www.wikidata.org/wiki/Q14401","display_name":"Kappa","level":2,"score":0.6386528015136719},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6264873147010803},{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.44999539852142334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3805127739906311},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32278192043304443},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2545838952064514},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.09294891357421875},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06985580921173096},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s001530050004","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050004","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4289676933","https://openalex.org/W2950296149","https://openalex.org/W2885719937","https://openalex.org/W4297981628","https://openalex.org/W2952331208","https://openalex.org/W2980664854","https://openalex.org/W2320441726","https://openalex.org/W104259515","https://openalex.org/W3013788203","https://openalex.org/W4287824093"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
