{"id":"https://openalex.org/W2086722572","doi":"https://doi.org/10.1007/bf01692497","title":"Complexity of ideals in finite semigroups and finite-state machines","display_name":"Complexity of ideals in finite semigroups and finite-state machines","publication_year":1967,"publication_date":"1967-03-01","ids":{"openalex":"https://openalex.org/W2086722572","doi":"https://doi.org/10.1007/bf01692497","mag":"2086722572"},"language":"en","primary_location":{"id":"doi:10.1007/bf01692497","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01692497","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Systems Theory","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/A5040034540","display_name":"Kenneth Krohn","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kenneth Krohn","raw_affiliation_strings":["Krohn-Rhodes Research Institute, 610 23rd. Street, Washington, D.C., USA","Krohn-Rhodes Research Institute, Washington, D.C., USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Krohn-Rhodes Research Institute, 610 23rd. Street, Washington, D.C., USA","institution_ids":[]},{"raw_affiliation_string":"Krohn-Rhodes Research Institute, Washington, D.C., USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039650228","display_name":"R. Mateosian","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Mateosian","raw_affiliation_strings":["University of California, Berkeley, USA","University of California\u2010Berkeley USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California\u2010Berkeley USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110160484","display_name":"John Rhodes","orcid":null},"institutions":[{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Rhodes","raw_affiliation_strings":["Institute for Advanced Study, Princeton, New Jersey, USA","Krohn-Rhodes Research Institute, 1472 A University Avenue, Berkeley, California, USA","University of California, Berkeley, USA","Institute for Advanced Study, Princeton, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Princeton, New Jersey, USA","institution_ids":["https://openalex.org/I40036882"]},{"raw_affiliation_string":"Krohn-Rhodes Research Institute, 1472 A University Avenue, Berkeley, California, USA","institution_ids":[]},{"raw_affiliation_string":"University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Institute for Advanced Study, Princeton, USA","institution_ids":["https://openalex.org/I40036882"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0395,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78515625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":"1","first_page":"59","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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":1.0,"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/T12002","display_name":"Computability, Logic, AI Algorithms","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/T11727","display_name":"Advanced Algebra and Logic","score":0.9976000189781189,"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/semigroup","display_name":"Semigroup","score":0.8280684351921082},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.7671219706535339},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7496541142463684},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6230077743530273},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.5234370231628418},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5031327605247498},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4788122773170471},{"id":"https://openalex.org/keywords/finite-state","display_name":"Finite state","score":0.46702244877815247},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4610985517501831},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.43057823181152344},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09685862064361572},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.09648114442825317}],"concepts":[{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.8280684351921082},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7671219706535339},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7496541142463684},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6230077743530273},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.5234370231628418},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5031327605247498},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4788122773170471},{"id":"https://openalex.org/C2983497884","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite state","level":3,"score":0.46702244877815247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4610985517501831},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.43057823181152344},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09685862064361572},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.09648114442825317},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01692497","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01692497","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Systems Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1585649433","https://openalex.org/W1963773050","https://openalex.org/W1970288221","https://openalex.org/W1979971526","https://openalex.org/W2119777205","https://openalex.org/W2315234012"],"related_works":["https://openalex.org/W2963256252","https://openalex.org/W1532285316","https://openalex.org/W4299143948","https://openalex.org/W4281261571","https://openalex.org/W4387024110","https://openalex.org/W2535494882","https://openalex.org/W1571505340","https://openalex.org/W2908087036","https://openalex.org/W2103029213","https://openalex.org/W4387581576"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
