{"id":"https://openalex.org/W2135503406","doi":"https://doi.org/10.1002/malq.19930390139","title":"Variations of Rado's lemma","display_name":"Variations of Rado's lemma","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2135503406","doi":"https://doi.org/10.1002/malq.19930390139","mag":"2135503406"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19930390139","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19930390139","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/A5025418958","display_name":"Paul Howard","orcid":"https://orcid.org/0000-0001-8649-0511"},"institutions":[{"id":"https://openalex.org/I138216421","display_name":"Eastern Michigan University","ror":"https://ror.org/02ehshm78","country_code":"US","type":"education","lineage":["https://openalex.org/I138216421"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul Howard","raw_affiliation_strings":["Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, U.S.A","Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, U, S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, U.S.A","institution_ids":["https://openalex.org/I138216421"]},{"raw_affiliation_string":"Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, U, S.A","institution_ids":["https://openalex.org/I138216421"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025418958"],"corresponding_institution_ids":["https://openalex.org/I138216421"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.26036549,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":"1","first_page":"353","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9904999732971191,"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":0.9904999732971191,"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":0.9684000015258789,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.949400007724762,"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/lemma","display_name":"Lemma (botany)","score":0.9383387565612793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.844555139541626},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.7447618246078491},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6402754783630371},{"id":"https://openalex.org/keywords/boolean-prime-ideal-theorem","display_name":"Boolean prime ideal theorem","score":0.5388078689575195},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.4931122958660126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4860894978046417},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46549996733665466},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4035439193248749},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.36317455768585205},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.2794959545135498},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07762837409973145}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.9383387565612793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.844555139541626},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.7447618246078491},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6402754783630371},{"id":"https://openalex.org/C175958551","wikidata":"https://www.wikidata.org/wiki/Q872088","display_name":"Boolean prime ideal theorem","level":3,"score":0.5388078689575195},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4931122958660126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4860894978046417},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46549996733665466},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4035439193248749},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.36317455768585205},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2794959545135498},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07762837409973145},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19930390139","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19930390139","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2008347684","https://openalex.org/W2085674347","https://openalex.org/W2167901711","https://openalex.org/W2320909447","https://openalex.org/W4238317440"],"related_works":["https://openalex.org/W3109582549","https://openalex.org/W1608708592","https://openalex.org/W2606121466","https://openalex.org/W4377158283","https://openalex.org/W2768804469","https://openalex.org/W2992465729","https://openalex.org/W4210343663","https://openalex.org/W2373903136","https://openalex.org/W1595261956","https://openalex.org/W2135503406"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"deductive":[2],"strengths":[3],"of":[4,7,19],"three":[5],"variations":[6],"Rado's":[8,28],"selection":[9],"lemma":[10,29],"are":[11,22],"studied":[12],"in":[13],"set":[14],"theory":[15],"without":[16],"the":[17,31,34],"axiom":[18],"choice.":[20],"Two":[21],"shown":[23],"to":[24,27,33],"be":[25],"equivalent":[26],"and":[30],"third":[32],"Boolean":[35],"prime":[36],"ideal":[37],"theorem.":[38],"MSC:":[39],"03E25,":[40],"04A25,":[41],"06E05.":[42]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
