{"id":"https://openalex.org/W2045117390","doi":"https://doi.org/10.1002/malq.19780241908","title":"The Existence of Certain Partitions on Cartesian Products","display_name":"The Existence of Certain Partitions on Cartesian Products","publication_year":1978,"publication_date":"1978-01-01","ids":{"openalex":"https://openalex.org/W2045117390","doi":"https://doi.org/10.1002/malq.19780241908","mag":"2045117390"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19780241908","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19780241908","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","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/A5082064850","display_name":"Allan W. Ristow","orcid":null},"institutions":[{"id":"https://openalex.org/I4210099761","display_name":"STEM Forward","ror":"https://ror.org/00wbgx826","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210099761"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Allan W. Ristow","raw_affiliation_strings":["Milwaukee, Wisconsin (U.S.A.)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Milwaukee, Wisconsin (U.S.A.)","institution_ids":["https://openalex.org/I4210099761"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082064850"],"corresponding_institution_ids":["https://openalex.org/I4210099761"],"apc_list":{"value":2900,"currency":"USD","value_usd":2900},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.19864109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"19-24","first_page":"325","last_page":"333"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994000196456909,"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":0.9994000196456909,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9991000294685364,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/citation","display_name":"Citation","score":0.5632832050323486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4784415066242218},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.44933104515075684},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.39262381196022034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3654635548591614},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3262322247028351},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2337666153907776}],"concepts":[{"id":"https://openalex.org/C2778805511","wikidata":"https://www.wikidata.org/wiki/Q1713","display_name":"Citation","level":2,"score":0.5632832050323486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4784415066242218},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.44933104515075684},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.39262381196022034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3654635548591614},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3262322247028351},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2337666153907776}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19780241908","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19780241908","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","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":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W819630205","https://openalex.org/W991658333","https://openalex.org/W1279167875","https://openalex.org/W2007829464","https://openalex.org/W2036277083","https://openalex.org/W2044949519","https://openalex.org/W2755141007"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2949097972","https://openalex.org/W4245490552","https://openalex.org/W4299640900","https://openalex.org/W2141418112","https://openalex.org/W4225152035","https://openalex.org/W3163064202","https://openalex.org/W2061531152","https://openalex.org/W2738565459"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}