{"id":"https://openalex.org/W2963831834","doi":"https://doi.org/10.1007/978-3-662-49630-5_31","title":"Profinite Monads, Profinite Equations, and Reiterman\u2019s Theorem","display_name":"Profinite Monads, Profinite Equations, and Reiterman\u2019s Theorem","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2963831834","doi":"https://doi.org/10.1007/978-3-662-49630-5_31","mag":"2963831834"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-49630-5_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-49630-5_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5072429061","display_name":"Liang-Ting Chen","orcid":"https://orcid.org/0000-0002-3250-1331"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Liang-Ting Chen","raw_affiliation_strings":["Institut f\u00fcr Theoretische Informatik, Technische Universit\u00e4t Braunschweig, Braunschweig, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Informatik, Technische Universit\u00e4t Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038462111","display_name":"Ji\u0159\u0131\u0301 Ad\u00e1mek","orcid":"https://orcid.org/0000-0001-8562-1233"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ji\u0159\u00ed Ad\u00e1mek","raw_affiliation_strings":["Institut f\u00fcr Theoretische Informatik, Technische Universit\u00e4t Braunschweig, Braunschweig, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Informatik, Technische Universit\u00e4t Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015904690","display_name":"Stefan Milius","orcid":"https://orcid.org/0000-0002-2021-1644"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Milius","raw_affiliation_strings":["Lehrstuhl f\u00fcr Theoretische Informatik, Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Theoretische Informatik, Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049596655","display_name":"Henning Urbat","orcid":"https://orcid.org/0000-0002-3265-7168"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Henning Urbat","raw_affiliation_strings":["Institut f\u00fcr Theoretische Informatik, Technische Universit\u00e4t Braunschweig, Braunschweig, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Informatik, Technische Universit\u00e4t Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5072429061"],"corresponding_institution_ids":["https://openalex.org/I94509681"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.5052,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.95611814,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"531","last_page":"547"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9983000159263611,"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/profinite-group","display_name":"Profinite group","score":0.7655330896377563},{"id":"https://openalex.org/keywords/monad","display_name":"Monad (category theory)","score":0.6762454509735107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.611470103263855},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.6046978235244751},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5964607000350952},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5407211184501648},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5261099934577942},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.516887903213501},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4235793352127075},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33143752813339233},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.13922396302223206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11985185742378235},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.11158883571624756},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09933027625083923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07133486866950989}],"concepts":[{"id":"https://openalex.org/C14735163","wikidata":"https://www.wikidata.org/wiki/Q1428923","display_name":"Profinite group","level":3,"score":0.7655330896377563},{"id":"https://openalex.org/C33959348","wikidata":"https://www.wikidata.org/wiki/Q1630568","display_name":"Monad (category theory)","level":3,"score":0.6762454509735107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.611470103263855},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.6046978235244751},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5964607000350952},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5407211184501648},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5261099934577942},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.516887903213501},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4235793352127075},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33143752813339233},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.13922396302223206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11985185742378235},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.11158883571624756},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09933027625083923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07133486866950989},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-662-49630-5_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-49630-5_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W565851192","https://openalex.org/W1483221860","https://openalex.org/W1501768223","https://openalex.org/W1536629372","https://openalex.org/W1539150709","https://openalex.org/W1560463521","https://openalex.org/W1563309996","https://openalex.org/W1595870841","https://openalex.org/W1859852581","https://openalex.org/W1972289972","https://openalex.org/W1972652030","https://openalex.org/W2005100072","https://openalex.org/W2008496712","https://openalex.org/W2009062978","https://openalex.org/W2023227558","https://openalex.org/W2039274884","https://openalex.org/W2053731602","https://openalex.org/W2061686800","https://openalex.org/W2116250539","https://openalex.org/W2139845245","https://openalex.org/W2143682387","https://openalex.org/W2167954650","https://openalex.org/W2574983198","https://openalex.org/W2950794772","https://openalex.org/W2963337840","https://openalex.org/W4244007815"],"related_works":["https://openalex.org/W4226430568","https://openalex.org/W2115785609","https://openalex.org/W2770491433","https://openalex.org/W4296959858","https://openalex.org/W2754254730","https://openalex.org/W3136039576","https://openalex.org/W99544092","https://openalex.org/W4313533159","https://openalex.org/W2964009287","https://openalex.org/W2030598511"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}