{"id":"https://openalex.org/W2171532310","doi":"https://doi.org/10.1002/malq.19950410207","title":"Binary Relations and Permutation Groups","display_name":"Binary Relations and Permutation Groups","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2171532310","doi":"https://doi.org/10.1002/malq.19950410207","mag":"2171532310"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19950410207","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19950410207","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["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/A5080876991","display_name":"Hajnal Andr\u00e9ka","orcid":"https://orcid.org/0000-0002-7327-4702"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hajnal Andr\u00e9ka","raw_affiliation_strings":["Mathematical Institute, Academy of Sciences, Budapest 1363, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences, Budapest 1363, Hungary","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062553445","display_name":"Ivo D\u00fcntsch","orcid":"https://orcid.org/0000-0001-8907-2382"},"institutions":[{"id":"https://openalex.org/I138801177","display_name":"University of Ulster","ror":"https://ror.org/01yp9g959","country_code":"GB","type":"education","lineage":["https://openalex.org/I138801177"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ivo D\u00fcntsch","raw_affiliation_strings":["Faculty of Informatics, University of Ulster at Jordanstown, Newtonabbey, BT 37 OQB, N. Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, University of Ulster at Jordanstown, Newtonabbey, BT 37 OQB, N. Ireland","institution_ids":["https://openalex.org/I138801177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.5341,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69650739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"41","issue":"2","first_page":"197","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9987999796867371,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9987999796867371,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9641000032424927,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8707872033119202},{"id":"https://openalex.org/keywords/galois-connection","display_name":"Galois connection","score":0.7805182933807373},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6198522448539734},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.5708239078521729},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.5376670360565186},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.5337525010108948},{"id":"https://openalex.org/keywords/embedding-problem","display_name":"Embedding problem","score":0.49823474884033203},{"id":"https://openalex.org/keywords/partial-permutation","display_name":"Partial permutation","score":0.4877243936061859},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.48482099175453186},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.45283010601997375},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4419531226158142},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42251861095428467},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.382440984249115},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36488741636276245},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.21284720301628113},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0823504626750946},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.06001770496368408}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8707872033119202},{"id":"https://openalex.org/C2777573902","wikidata":"https://www.wikidata.org/wiki/Q1491747","display_name":"Galois connection","level":2,"score":0.7805182933807373},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6198522448539734},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.5708239078521729},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.5376670360565186},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.5337525010108948},{"id":"https://openalex.org/C35435516","wikidata":"https://www.wikidata.org/wiki/Q5370016","display_name":"Embedding problem","level":3,"score":0.49823474884033203},{"id":"https://openalex.org/C145633696","wikidata":"https://www.wikidata.org/wiki/Q1401935","display_name":"Partial permutation","level":4,"score":0.4877243936061859},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.48482099175453186},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.45283010601997375},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4419531226158142},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42251861095428467},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.382440984249115},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36488741636276245},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.21284720301628113},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0823504626750946},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.06001770496368408},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.19950410207","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19950410207","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.56.8674","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.8674","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.rz.uni-osnabrueck.de/pub/reports/sivos/relperm.ps.Z","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":20,"referenced_works":["https://openalex.org/W657835803","https://openalex.org/W1605696684","https://openalex.org/W1970629906","https://openalex.org/W1982009250","https://openalex.org/W1984581643","https://openalex.org/W1985846120","https://openalex.org/W1992205482","https://openalex.org/W1993001926","https://openalex.org/W2018944629","https://openalex.org/W2022352899","https://openalex.org/W2033743662","https://openalex.org/W2051170661","https://openalex.org/W2053510959","https://openalex.org/W2112073482","https://openalex.org/W2917893419","https://openalex.org/W3105529609","https://openalex.org/W4213165878","https://openalex.org/W4235222789","https://openalex.org/W4237222677","https://openalex.org/W6658805392"],"related_works":["https://openalex.org/W2092530416","https://openalex.org/W2998991441","https://openalex.org/W1603558256","https://openalex.org/W2363611940","https://openalex.org/W4383755479","https://openalex.org/W2050316347","https://openalex.org/W2385551783","https://openalex.org/W2406699878","https://openalex.org/W4300164869","https://openalex.org/W2964025022"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"discuss":[2],"some":[3],"new":[4],"properties":[5],"of":[6],"the":[7,60],"natural":[8],"Galois":[9,32,52],"connection":[10],"among":[11],"set":[12,45],"relation":[13,28,41],"algebras,":[14],"permutation":[15],"groups,":[16],"and":[17,35,54],"first":[18,78],"order":[19,79],"logic.":[20,80],"In":[21],"particular,":[22],"we":[23,36,58],"exhibit":[24],"infinitely":[25],"many":[26],"permutational":[27],"algebras":[29],"without":[30],"a":[31,44],"closed":[33,53],"representation,":[34],"also":[37],"show":[38],"that":[39,63],"every":[40],"algebra":[42],"on":[43,64],"with":[46,68],"at":[47],"most":[48],"six":[49],"elements":[50],"is":[51,71],"essentially":[55],"unique.":[56],"Thus,":[57],"obtain":[59],"surprising":[61],"result":[62],"such":[65],"sets,":[66],"logic":[67],"three":[69],"variables":[70],"as":[72,76],"powerful":[73],"in":[74],"expression":[75],"full":[77]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
