{"id":"https://openalex.org/W2000779724","doi":"https://doi.org/10.1016/0003-4843(82)90016-x","title":"Automorphisms of the lattice of recursively enumerable sets. Part II: Low sets","display_name":"Automorphisms of the lattice of recursively enumerable sets. Part II: Low sets","publication_year":1982,"publication_date":"1982-06-01","ids":{"openalex":"https://openalex.org/W2000779724","doi":"https://doi.org/10.1016/0003-4843(82)90016-x","mag":"2000779724"},"language":"en","primary_location":{"id":"doi:10.1016/0003-4843(82)90016-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0003-4843(82)90016-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/000348438290016X/pdf","source":{"id":"https://openalex.org/S79679061","display_name":"Annals of Mathematical Logic","issn_l":"0003-4843","issn":["0003-4843","1878-3767"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematical Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/000348438290016X/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023422267","display_name":"Robert I. Soare","orcid":null},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert I. Soare","raw_affiliation_strings":["Department of Mathematics, University of Chicago, Chicago, IL 60637, U.S.A","Department of Mathematics, University of Chicago, Chicago, IL 60637, U.S.A.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Chicago, Chicago, IL 60637, U.S.A","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Department of Mathematics, University of Chicago, Chicago, IL 60637, U.S.A.#TAB#","institution_ids":["https://openalex.org/I40347166"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023422267"],"corresponding_institution_ids":["https://openalex.org/I40347166"],"apc_list":null,"apc_paid":null,"fwci":3.8015,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.93829114,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"1","first_page":"69","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9944000244140625,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9884999990463257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.9415256977081299},{"id":"https://openalex.org/keywords/recursively-enumerable-set","display_name":"Recursively enumerable set","score":0.81326824426651},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.7036365866661072},{"id":"https://openalex.org/keywords/maximal-set","display_name":"Maximal set","score":0.6880956292152405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6822066307067871},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5411429405212402},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42607975006103516},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33085325360298157},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32359758019447327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1571013331413269},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.11613130569458008},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09785324335098267}],"concepts":[{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.9415256977081299},{"id":"https://openalex.org/C52703633","wikidata":"https://www.wikidata.org/wiki/Q676835","display_name":"Recursively enumerable set","level":3,"score":0.81326824426651},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.7036365866661072},{"id":"https://openalex.org/C188521023","wikidata":"https://www.wikidata.org/wiki/Q6795644","display_name":"Maximal set","level":3,"score":0.6880956292152405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6822066307067871},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5411429405212402},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42607975006103516},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33085325360298157},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32359758019447327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1571013331413269},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.11613130569458008},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09785324335098267},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0003-4843(82)90016-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0003-4843(82)90016-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/000348438290016X/pdf","source":{"id":"https://openalex.org/S79679061","display_name":"Annals of Mathematical Logic","issn_l":"0003-4843","issn":["0003-4843","1878-3767"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0003-4843(82)90016-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0003-4843(82)90016-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/000348438290016X/pdf","source":{"id":"https://openalex.org/S79679061","display_name":"Annals of Mathematical Logic","issn_l":"0003-4843","issn":["0003-4843","1878-3767"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematical Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000779724.pdf","grobid_xml":"https://content.openalex.org/works/W2000779724.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1967629533","https://openalex.org/W1972481159","https://openalex.org/W1980566306","https://openalex.org/W2016487828","https://openalex.org/W2024348511","https://openalex.org/W2029823283","https://openalex.org/W2033957959","https://openalex.org/W2034460536","https://openalex.org/W2035558335","https://openalex.org/W2037416374","https://openalex.org/W2039559454","https://openalex.org/W2045033949","https://openalex.org/W2055051664","https://openalex.org/W2056140479","https://openalex.org/W2056414301","https://openalex.org/W2057381252","https://openalex.org/W2057392475","https://openalex.org/W2069890413","https://openalex.org/W2070390550","https://openalex.org/W2071093314","https://openalex.org/W2073407285","https://openalex.org/W2082637799","https://openalex.org/W2096478770","https://openalex.org/W2101746971","https://openalex.org/W2150311525","https://openalex.org/W2160667926","https://openalex.org/W2315181607","https://openalex.org/W2319243709","https://openalex.org/W2319599413","https://openalex.org/W2320833443","https://openalex.org/W2328824725","https://openalex.org/W2478857688","https://openalex.org/W2530006810","https://openalex.org/W2905135108","https://openalex.org/W4241274824","https://openalex.org/W4241648600","https://openalex.org/W4246124948","https://openalex.org/W4256369010","https://openalex.org/W4361868930","https://openalex.org/W6642322178","https://openalex.org/W6664881329","https://openalex.org/W6904822238"],"related_works":["https://openalex.org/W2037833610","https://openalex.org/W2135152748","https://openalex.org/W2069987267","https://openalex.org/W1973052363","https://openalex.org/W1972481159","https://openalex.org/W1980641386","https://openalex.org/W2112189052","https://openalex.org/W2757989085","https://openalex.org/W4249600134","https://openalex.org/W2000047385"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}