{"id":"https://openalex.org/W1607115947","doi":"https://doi.org/10.1007/bfb0015928","title":"An extension of the Krohn-Rhodes decomposition of automata","display_name":"An extension of the Krohn-Rhodes decomposition of automata","publication_year":2005,"publication_date":"2005-11-23","ids":{"openalex":"https://openalex.org/W1607115947","doi":"https://doi.org/10.1007/bfb0015928","mag":"1607115947"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0015928","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0015928","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/A5017293831","display_name":"Zolt\u00e1n \u00c9sik","orcid":null},"institutions":[{"id":"https://openalex.org/I4210111519","display_name":"E\u00f6tv\u00f6s J\u00f3zsef F\u0151iskola","ror":"https://ror.org/01v8tze95","country_code":"HU","type":"education","lineage":["https://openalex.org/I4210111519"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Zolt\u00e1n Esik","raw_affiliation_strings":["Bolyai Institute, A. J\u00f3zsef University, Aradi v. tere 1, 6720, Szeged, Hungary","A. J\u00f3zsef University"],"affiliations":[{"raw_affiliation_string":"Bolyai Institute, A. J\u00f3zsef University, Aradi v. tere 1, 6720, Szeged, Hungary","institution_ids":[]},{"raw_affiliation_string":"A. J\u00f3zsef University","institution_ids":["https://openalex.org/I4210111519"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017293831"],"corresponding_institution_ids":["https://openalex.org/I4210111519"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.1511783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"65","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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":0.9998000264167786,"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/T10142","display_name":"Formal Methods in Verification","score":0.989300012588501,"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":0.9824000000953674,"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/irreducibility","display_name":"Irreducibility","score":0.726334810256958},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6181041598320007},{"id":"https://openalex.org/keywords/krohn\u2013rhodes-theory","display_name":"Krohn\u2013Rhodes theory","score":0.5892672538757324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5418742895126343},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5190916061401367},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4953995943069458},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48747920989990234},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.4785493016242981},{"id":"https://openalex.org/keywords/special-classes-of-semigroups","display_name":"Special classes of semigroups","score":0.46577972173690796},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4516732096672058},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.4288436770439148},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4185031056404114},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41119053959846497},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37723392248153687},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3375668525695801},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3114914894104004},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.23343098163604736},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14373788237571716}],"concepts":[{"id":"https://openalex.org/C2776823524","wikidata":"https://www.wikidata.org/wiki/Q6073561","display_name":"Irreducibility","level":2,"score":0.726334810256958},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6181041598320007},{"id":"https://openalex.org/C30397308","wikidata":"https://www.wikidata.org/wiki/Q6438788","display_name":"Krohn\u2013Rhodes theory","level":4,"score":0.5892672538757324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5418742895126343},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5190916061401367},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4953995943069458},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48747920989990234},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.4785493016242981},{"id":"https://openalex.org/C46149467","wikidata":"https://www.wikidata.org/wiki/Q7574800","display_name":"Special classes of semigroups","level":3,"score":0.46577972173690796},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4516732096672058},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.4288436770439148},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4185031056404114},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41119053959846497},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37723392248153687},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3375668525695801},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3114914894104004},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.23343098163604736},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14373788237571716},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0015928","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0015928","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W171708044","https://openalex.org/W203130594","https://openalex.org/W1519354547","https://openalex.org/W1523977407","https://openalex.org/W1538941884","https://openalex.org/W1581140154","https://openalex.org/W1983832285","https://openalex.org/W2021552369","https://openalex.org/W2037608487","https://openalex.org/W2059677035","https://openalex.org/W2065599266","https://openalex.org/W2317462728","https://openalex.org/W2574267903"],"related_works":["https://openalex.org/W2007259017","https://openalex.org/W1833412956","https://openalex.org/W4297779646","https://openalex.org/W2236302362","https://openalex.org/W1999881600","https://openalex.org/W2052217209","https://openalex.org/W2115479925","https://openalex.org/W1563123524","https://openalex.org/W2590393170","https://openalex.org/W1978324227"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
