{"id":"https://openalex.org/W2171605982","doi":"https://doi.org/10.2178/jsl/1045861515","title":"Separably closed fields with Hasse derivations","display_name":"Separably closed fields with Hasse derivations","publication_year":2003,"publication_date":"2003-03-01","ids":{"openalex":"https://openalex.org/W2171605982","doi":"https://doi.org/10.2178/jsl/1045861515","mag":"2171605982"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1045861515","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1045861515","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/A5101546631","display_name":"Martin Ziegler","orcid":"https://orcid.org/0000-0001-6734-7875"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Ziegler","raw_affiliation_strings":["Mathematisches Institut, Eckerstrasse 1, 79104 Freiburg, Germany, E-mail:","Mathematisches Institut"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Eckerstrasse 1, 79104 Freiburg, Germany, E-mail:","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Mathematisches Institut","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101546631"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":1.8253,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.8600126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"68","issue":"1","first_page":"311","last_page":"318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980999827384949,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9319999814033508,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9228000044822693,"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":0.7659904956817627},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5895601511001587},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5087230801582336},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5052559971809387},{"id":"https://openalex.org/keywords/hasse-principle","display_name":"Hasse principle","score":0.4846056401729584},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.472383975982666},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4309135675430298},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2770749032497406},{"id":"https://openalex.org/keywords/algebraic-number-field","display_name":"Algebraic number field","score":0.08309602737426758}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7659904956817627},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5895601511001587},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5087230801582336},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5052559971809387},{"id":"https://openalex.org/C50275913","wikidata":"https://www.wikidata.org/wiki/Q2115578","display_name":"Hasse principle","level":3,"score":0.4846056401729584},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.472383975982666},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4309135675430298},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2770749032497406},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.08309602737426758},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1045861515","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1045861515","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/1045861515","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1045861515","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"},{"id":"pmh:oai:freidok.uni-freiburg.de:40278","is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/40278","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Journal of Symbolic Logic. - 68, 01 (2003) , 311-318, ISSN: 0022-4812","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1042189748","https://openalex.org/W1548944036","https://openalex.org/W1608732220","https://openalex.org/W1724983134","https://openalex.org/W2122586002","https://openalex.org/W2142614880","https://openalex.org/W2490296675","https://openalex.org/W6636294907"],"related_works":["https://openalex.org/W3095068681","https://openalex.org/W4360608997","https://openalex.org/W2035631589","https://openalex.org/W3033938593","https://openalex.org/W816268688","https://openalex.org/W1813686459","https://openalex.org/W2039279140","https://openalex.org/W1617297050","https://openalex.org/W1922953163","https://openalex.org/W1599897266"],"abstract_inverted_index":{"Abstract":[0],"In":[1,39],"[6]":[2,42],"Messmer":[3],"and":[4],"Wood":[5],"proved":[6],"quantifier":[7],"elimination":[8],"for":[9],"separably":[10],"closed":[11],"fields":[12],"of":[13,28,34],"finite":[14],"Ershov":[15],"invariant":[16],"e":[17,35],"equipped":[18],"with":[19],"a":[20,26,32],"(certain)":[21],"Hasse":[22,37,44],"derivation.":[23],"We":[24],"propose":[25],"variant":[27],"their":[29],"theory,":[30],"using":[31],"sequence":[33],"commuting":[36],"derivations.":[38],"contrast":[40],"to":[41],"our":[43],"derivations":[45],"are":[46],"iterative.":[47]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}