{"id":"https://openalex.org/W2068573065","doi":"https://doi.org/10.1016/0168-0072(90)90064-9","title":"Sub-arithmetical ultrapowers: a survey","display_name":"Sub-arithmetical ultrapowers: a survey","publication_year":1990,"publication_date":"1990-10-01","ids":{"openalex":"https://openalex.org/W2068573065","doi":"https://doi.org/10.1016/0168-0072(90)90064-9","mag":"2068573065"},"language":"en","primary_location":{"id":"doi:10.1016/0168-0072(90)90064-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(90)90064-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/0168007290900649/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/0168007290900649/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109841134","display_name":"T. G. McLaughlin","orcid":null},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas G. McLaughlin","raw_affiliation_strings":["Department of Mathematics, Texas Tech University, Lubbock, TX 79409, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas Tech University, Lubbock, TX 79409, USA","institution_ids":["https://openalex.org/I12315562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109841134"],"corresponding_institution_ids":["https://openalex.org/I12315562"],"apc_list":{"value":3520,"currency":"USD","value_usd":3520},"apc_paid":null,"fwci":3.8583,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.94228476,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"2","first_page":"143","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9934999942779541,"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":0.9934999942779541,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9916999936103821,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9674000144004822,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.8526449203491211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5064254999160767},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4696454405784607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4451931416988373},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32021045684814453}],"concepts":[{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.8526449203491211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5064254999160767},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4696454405784607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4451931416988373},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32021045684814453}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0168-0072(90)90064-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(90)90064-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/0168007290900649/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0168-0072(90)90064-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(90)90064-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/0168007290900649/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2068573065.pdf","grobid_xml":"https://content.openalex.org/works/W2068573065.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W13300039","https://openalex.org/W25366483","https://openalex.org/W96632404","https://openalex.org/W580363663","https://openalex.org/W658415929","https://openalex.org/W939367565","https://openalex.org/W1488454741","https://openalex.org/W1971459873","https://openalex.org/W1995881727","https://openalex.org/W2024868415","https://openalex.org/W2027556312","https://openalex.org/W2031249972","https://openalex.org/W2033165530","https://openalex.org/W2050888701","https://openalex.org/W2054770471","https://openalex.org/W2103889573","https://openalex.org/W2188630266","https://openalex.org/W2313398169","https://openalex.org/W2320527537","https://openalex.org/W4253337930","https://openalex.org/W6603933778","https://openalex.org/W6616902783","https://openalex.org/W6621956784","https://openalex.org/W6629032631","https://openalex.org/W6658637094","https://openalex.org/W6687224692"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2000071592","https://openalex.org/W1660676450","https://openalex.org/W1586473494","https://openalex.org/W2382181079","https://openalex.org/W2125955092","https://openalex.org/W2119550093","https://openalex.org/W2074726530","https://openalex.org/W582971654","https://openalex.org/W2861978802"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}