{"id":"https://openalex.org/W4231947916","doi":"https://doi.org/10.2307/2695078","title":"Minimal fields","display_name":"Minimal fields","publication_year":2000,"publication_date":"2000-12-01","ids":{"openalex":"https://openalex.org/W4231947916","doi":"https://doi.org/10.2307/2695078"},"language":"en","primary_location":{"id":"doi:10.2307/2695078","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2695078","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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/A5113593194","display_name":"Frank Olaf Wagner","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Frank O. Wagner","raw_affiliation_strings":["Mathematical Institute, 24\u201329 St Giles', Oxford OX1 3LB, England, E-mail:"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, 24\u201329 St Giles', Oxford OX1 3LB, England, E-mail:","institution_ids":["https://openalex.org/I4210120676"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113593194"],"corresponding_institution_ids":["https://openalex.org/I4210120676"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.37232813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"65","issue":"4","first_page":"1833","last_page":"1835"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.989300012588501,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.989300012588501,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9807000160217285,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9685999751091003,"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/algebraically-closed-field","display_name":"Algebraically closed field","score":0.8417426943778992},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5207112431526184},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5023386478424072},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4292195439338684},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3831236958503723},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.17168769240379333},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.10686725378036499}],"concepts":[{"id":"https://openalex.org/C203701370","wikidata":"https://www.wikidata.org/wiki/Q1047547","display_name":"Algebraically closed field","level":2,"score":0.8417426943778992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5207112431526184},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5023386478424072},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4292195439338684},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3831236958503723},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.17168769240379333},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.10686725378036499}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2307/2695078","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2695078","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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":1,"referenced_works":["https://openalex.org/W4251451016"],"related_works":["https://openalex.org/W2074052495","https://openalex.org/W3191608549","https://openalex.org/W2990042598","https://openalex.org/W2376336218","https://openalex.org/W1979597421","https://openalex.org/W2361715264","https://openalex.org/W2130012745","https://openalex.org/W4255430663","https://openalex.org/W1646730708","https://openalex.org/W2786540497"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"minimal":[2],"field":[3],"of":[4],"non-zero":[5],"characteristic":[6],"is":[7],"algebraically":[8],"closed.":[9]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}
