{"id":"https://openalex.org/W2005125452","doi":"https://doi.org/10.1007/bf00872989","title":"Galois theory in variable categories","display_name":"Galois theory in variable categories","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2005125452","doi":"https://doi.org/10.1007/bf00872989","mag":"2005125452"},"language":"en","primary_location":{"id":"doi:10.1007/bf00872989","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00872989","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","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/A5082120884","display_name":"George Janelidze","orcid":"https://orcid.org/0000-0002-2083-063X"},"institutions":[{"id":"https://openalex.org/I2800265760","display_name":"Georgian National Academy of Sciences","ror":"https://ror.org/05aav2h42","country_code":"GE","type":"education","lineage":["https://openalex.org/I2800265760"]}],"countries":["GE"],"is_corresponding":true,"raw_author_name":"George Janelidze","raw_affiliation_strings":["Mathematics Institute, Academy of Science, Tbilisi, Georgia","Mathematics Institute, Academy of Science, Tbilisi"],"affiliations":[{"raw_affiliation_string":"Mathematics Institute, Academy of Science, Tbilisi, Georgia","institution_ids":["https://openalex.org/I2800265760"]},{"raw_affiliation_string":"Mathematics Institute, Academy of Science, Tbilisi","institution_ids":["https://openalex.org/I2800265760"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032474236","display_name":"Dietmar Schumacher","orcid":null},"institutions":[{"id":"https://openalex.org/I92688161","display_name":"Acadia University","ror":"https://ror.org/00839we02","country_code":"CA","type":"education","lineage":["https://openalex.org/I92688161"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dietmar Schumacher","raw_affiliation_strings":["Mathematics Department, Acadia University, Wolfville, Nova Scotia, Canada","Mathematics Department, Acadia University, Wolfville, Canada"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Acadia University, Wolfville, Nova Scotia, Canada","institution_ids":["https://openalex.org/I92688161"]},{"raw_affiliation_string":"Mathematics Department, Acadia University, Wolfville, Canada","institution_ids":["https://openalex.org/I92688161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090645465","display_name":"Ross Street","orcid":"https://orcid.org/0000-0003-2548-3005"},"institutions":[{"id":"https://openalex.org/I99043593","display_name":"Macquarie University","ror":"https://ror.org/01sf06y89","country_code":"AU","type":"education","lineage":["https://openalex.org/I99043593"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ross Street","raw_affiliation_strings":["Mathematics Department, Macquarie University, New South Wales, Australia","Mathematics Department, Macquarie University, Australia"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Macquarie University, New South Wales, Australia","institution_ids":["https://openalex.org/I99043593"]},{"raw_affiliation_string":"Mathematics Department, Macquarie University, Australia","institution_ids":["https://openalex.org/I99043593"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082120884"],"corresponding_institution_ids":["https://openalex.org/I2800265760"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5841,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.59413414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"1","issue":"1","first_page":"103","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9962999820709229,"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":0.9714000225067139,"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/mathematics","display_name":"Mathematics","score":0.8589882254600525},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.802318811416626},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6600484848022461},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5520416498184204},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.5336293578147888},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.49535003304481506},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47443118691444397},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.47229698300361633},{"id":"https://openalex.org/keywords/galois-cohomology","display_name":"Galois cohomology","score":0.4625614881515503},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4424346387386322},{"id":"https://openalex.org/keywords/equivalence-of-categories","display_name":"Equivalence of categories","score":0.4268224537372589},{"id":"https://openalex.org/keywords/fundamental-theorem-of-galois-theory","display_name":"Fundamental theorem of Galois theory","score":0.4255996346473694},{"id":"https://openalex.org/keywords/embedding-problem","display_name":"Embedding problem","score":0.42207375168800354},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.41115105152130127},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33046847581863403},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.07604730129241943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06283676624298096}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8589882254600525},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.802318811416626},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6600484848022461},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5520416498184204},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.5336293578147888},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.49535003304481506},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47443118691444397},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.47229698300361633},{"id":"https://openalex.org/C182349385","wikidata":"https://www.wikidata.org/wiki/Q382839","display_name":"Galois cohomology","level":3,"score":0.4625614881515503},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4424346387386322},{"id":"https://openalex.org/C11846945","wikidata":"https://www.wikidata.org/wiki/Q1082992","display_name":"Equivalence of categories","level":3,"score":0.4268224537372589},{"id":"https://openalex.org/C78562435","wikidata":"https://www.wikidata.org/wiki/Q766522","display_name":"Fundamental theorem of Galois theory","level":4,"score":0.4255996346473694},{"id":"https://openalex.org/C35435516","wikidata":"https://www.wikidata.org/wiki/Q5370016","display_name":"Embedding problem","level":3,"score":0.42207375168800354},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.41115105152130127},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33046847581863403},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.07604730129241943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06283676624298096},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf00872989","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00872989","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","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":17,"referenced_works":["https://openalex.org/W108901460","https://openalex.org/W158035142","https://openalex.org/W165132734","https://openalex.org/W791701337","https://openalex.org/W823132808","https://openalex.org/W969714970","https://openalex.org/W1978223406","https://openalex.org/W1979086029","https://openalex.org/W1993468549","https://openalex.org/W1999841077","https://openalex.org/W2011659388","https://openalex.org/W2013805349","https://openalex.org/W2060119423","https://openalex.org/W2120713972","https://openalex.org/W2128215173","https://openalex.org/W4247257087","https://openalex.org/W6601157724"],"related_works":["https://openalex.org/W2730690530","https://openalex.org/W2189024741","https://openalex.org/W1924621068","https://openalex.org/W1497806779","https://openalex.org/W3154340509","https://openalex.org/W2963713411","https://openalex.org/W4298090105","https://openalex.org/W2075372418","https://openalex.org/W2560116635","https://openalex.org/W2777646622"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
