{"id":"https://openalex.org/W2122586002","doi":"https://doi.org/10.2307/2273133","title":"Notes on the stability of separably closed fields","display_name":"Notes on the stability of separably closed fields","publication_year":1979,"publication_date":"1979-09-01","ids":{"openalex":"https://openalex.org/W2122586002","doi":"https://doi.org/10.2307/2273133","mag":"2122586002"},"language":"en","primary_location":{"id":"doi:10.2307/2273133","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273133","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/A5026552665","display_name":"Carol Wood","orcid":"https://orcid.org/0000-0003-3699-9218"},"institutions":[{"id":"https://openalex.org/I100538780","display_name":"Wesleyan University","ror":"https://ror.org/05h7xva58","country_code":"US","type":"education","lineage":["https://openalex.org/I100538780"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Carol Wood","raw_affiliation_strings":["Wesleyan University, Middletown, CT 06457"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wesleyan University, Middletown, CT 06457","institution_ids":["https://openalex.org/I100538780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026552665"],"corresponding_institution_ids":["https://openalex.org/I100538780"],"apc_list":null,"apc_paid":null,"fwci":1.9111,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.88644825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"44","issue":"3","first_page":"412","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9463000297546387,"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":0.9463000297546387,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9354000091552734,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9253000020980835,"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/mathematics","display_name":"Mathematics","score":0.6648155450820923},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.6467888355255127},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6268951892852783},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5594707727432251},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4871527850627899},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.457838773727417},{"id":"https://openalex.org/keywords/model-theory","display_name":"Model theory","score":0.4250553548336029},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41679617762565613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20881807804107666},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19160372018814087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1433507800102234},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11783376336097717},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.048008114099502563}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6648155450820923},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.6467888355255127},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6268951892852783},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5594707727432251},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4871527850627899},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.457838773727417},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.4250553548336029},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41679617762565613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20881807804107666},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19160372018814087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1433507800102234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11783376336097717},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.048008114099502563},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2273133","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273133","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"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183740436","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183740436","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W4696618","https://openalex.org/W1989739039","https://openalex.org/W2017769265","https://openalex.org/W2022617751","https://openalex.org/W2073016547","https://openalex.org/W4387330249","https://openalex.org/W6826338575"],"related_works":["https://openalex.org/W1970705056","https://openalex.org/W4245749626","https://openalex.org/W4312882488","https://openalex.org/W2114312528","https://openalex.org/W2332966134","https://openalex.org/W2596635047","https://openalex.org/W2963536811","https://openalex.org/W2331121743","https://openalex.org/W2121082846","https://openalex.org/W2056757044"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"stability":[2,80],"of":[3,5,8,17,20,40,48,51,66],"each":[4,47],"the":[6,15,21,32,49,64],"theories":[7,39,50],"separably":[9,52,82],"closed":[10,26,53,83],"fields":[11,54,84,93],"is":[12],"proved,":[13],"in":[14,44,63],"manner":[16],"Shelah's":[18],"proof":[19],"corresponding":[22],"result":[23],"for":[24],"differentially":[25],"fields.":[27,41],"These":[28],"are":[29],"at":[30],"present":[31],"only":[33],"known":[34],"stable":[35],"but":[36],"not":[37],"superstable":[38],"We":[42,69],"indicate":[43],"\u00a73":[45,90],"how":[46],"can":[55],"be":[56],"associated":[57],"with":[58,72],"a":[59],"model":[60,77],"complete":[61],"theory":[62],"language":[65],"differential":[67,92],"algebra.":[68],"assume":[70],"familiarity":[71],"some":[73],"basic":[74],"facts":[75],"about":[76],"completeness":[78],"[4],":[79],"[7],":[81],"[2]":[85],"or":[86],"[3],":[87],"and":[88],"(for":[89],"only)":[91],"[8].":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}