{"id":"https://openalex.org/W1986383192","doi":"https://doi.org/10.1016/s0168-0072(99)00007-x","title":"Lattices of modal logics and their groups of automorphisms","display_name":"Lattices of modal logics and their groups of automorphisms","publication_year":1999,"publication_date":"1999-10-01","ids":{"openalex":"https://openalex.org/W1986383192","doi":"https://doi.org/10.1016/s0168-0072(99)00007-x","mag":"1986383192"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(99)00007-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(99)00007-x","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Pure and Applied 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/A5059462139","display_name":"Marcus Kracht","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Marcus Kracht","raw_affiliation_strings":["II. Mathematisches Institut, Freie Universit\u00e4t Berlin, Arnimallee 3, D-14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"II. Mathematisches Institut, Freie Universit\u00e4t Berlin, Arnimallee 3, D-14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059462139"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":{"value":3520,"currency":"USD","value_usd":3520},"apc_paid":null,"fwci":7.0198,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.9711511,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"100","issue":"1-3","first_page":"99","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.995199978351593,"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/T11567","display_name":"semigroups and automata theory","score":0.995199978351593,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9819999933242798,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.8520753383636475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7213371992111206},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6641621589660645},{"id":"https://openalex.org/keywords/automorphisms-of-the-symmetric-and-alternating-groups","display_name":"Automorphisms of the symmetric and alternating groups","score":0.6178705096244812},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5663084983825684},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5250251889228821},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41578859090805054},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1380494236946106},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1314101219177246},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.042625367641448975}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.8520753383636475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7213371992111206},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6641621589660645},{"id":"https://openalex.org/C162619202","wikidata":"https://www.wikidata.org/wiki/Q4826703","display_name":"Automorphisms of the symmetric and alternating groups","level":3,"score":0.6178705096244812},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5663084983825684},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5250251889228821},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41578859090805054},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1380494236946106},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1314101219177246},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.042625367641448975},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/s0168-0072(99)00007-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(99)00007-x","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Pure and Applied Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.37.2296","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.2296","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.math.fu-berlin.de/pub/usr/kracht/logik/auto.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.549.3484","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.549.3484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wwwhomes.uni-bielefeld.de/mkracht/html/automorphism.pdf","raw_type":"text"},{"id":"pmh:oai:pub.librecat.org:2594471","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/2594471","pdf_url":null,"source":{"id":"https://openalex.org/S4306401671","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kracht M. Lattices of Modal Logics and Their Groups of Automorphisms. &lt;em&gt;Journal of Pure and Applied Logic&lt;/em&gt;. 1999;100:99-139.","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W64416701","https://openalex.org/W658664067","https://openalex.org/W1603162778","https://openalex.org/W1969285530","https://openalex.org/W2000283744","https://openalex.org/W2008952614","https://openalex.org/W2062485819","https://openalex.org/W2611298788","https://openalex.org/W2798943694"],"related_works":["https://openalex.org/W2125842458","https://openalex.org/W2376326551","https://openalex.org/W4298353144","https://openalex.org/W2051680489","https://openalex.org/W3122198505","https://openalex.org/W1579019262","https://openalex.org/W2037860586","https://openalex.org/W3203760286","https://openalex.org/W1744321863","https://openalex.org/W2062949234"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
