{"id":"https://openalex.org/W1966175226","doi":"https://doi.org/10.1007/bf02235812","title":"Some results on the set of congruence relations in a finite, strongly connected automaton","display_name":"Some results on the set of congruence relations in a finite, strongly connected automaton","publication_year":1967,"publication_date":"1967-12-01","ids":{"openalex":"https://openalex.org/W1966175226","doi":"https://doi.org/10.1007/bf02235812","mag":"1966175226"},"language":"en","primary_location":{"id":"doi:10.1007/bf02235812","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02235812","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5109074812","display_name":"Peter Deussen","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"P. Deussen","raw_affiliation_strings":["Institute of Mathematics Technical University, Arcisstra\u00dfe 21, D-8, M\u00fcnchen 2, Federal Republic of Germany","Institute of Mathematics Technical University, M\u00fcnchen 2, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics Technical University, Arcisstra\u00dfe 21, D-8, M\u00fcnchen 2, Federal Republic of Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Institute of Mathematics Technical University, M\u00fcnchen 2, Federal Republic of Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109074812"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5202,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.61522048,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"4","first_page":"353","last_page":"367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","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/T11567","display_name":"semigroups and automata theory","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/T11727","display_name":"Advanced Algebra and Logic","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/T10911","display_name":"Chemical Synthesis and Analysis","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6968388557434082},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.5545658469200134},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5364388227462769},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.48728764057159424},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.4871515929698944},{"id":"https://openalex.org/keywords/krohn\u2013rhodes-theory","display_name":"Krohn\u2013Rhodes theory","score":0.48168429732322693},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4306890666484833},{"id":"https://openalex.org/keywords/continuous-automaton","display_name":"Continuous automaton","score":0.4230608642101288},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.3785344660282135},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36575084924697876},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35413068532943726},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.3054823875427246},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.26573532819747925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22625380754470825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22473880648612976},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.2109694480895996},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.20708692073822021},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1696072518825531},{"id":"https://openalex.org/keywords/special-classes-of-semigroups","display_name":"Special classes of semigroups","score":0.162242591381073}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6968388557434082},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.5545658469200134},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5364388227462769},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.48728764057159424},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.4871515929698944},{"id":"https://openalex.org/C30397308","wikidata":"https://www.wikidata.org/wiki/Q6438788","display_name":"Krohn\u2013Rhodes theory","level":4,"score":0.48168429732322693},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4306890666484833},{"id":"https://openalex.org/C21720249","wikidata":"https://www.wikidata.org/wiki/Q5165460","display_name":"Continuous automaton","level":5,"score":0.4230608642101288},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.3785344660282135},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36575084924697876},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35413068532943726},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.3054823875427246},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.26573532819747925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22625380754470825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22473880648612976},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.2109694480895996},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.20708692073822021},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1696072518825531},{"id":"https://openalex.org/C46149467","wikidata":"https://www.wikidata.org/wiki/Q7574800","display_name":"Special classes of semigroups","level":3,"score":0.162242591381073},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02235812","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02235812","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1585649433","https://openalex.org/W1988010228","https://openalex.org/W1990402948","https://openalex.org/W1994333561","https://openalex.org/W2032700570","https://openalex.org/W2051986695","https://openalex.org/W2543174088"],"related_works":["https://openalex.org/W2091988401","https://openalex.org/W3133748972","https://openalex.org/W63685668","https://openalex.org/W2522171317","https://openalex.org/W2024315516","https://openalex.org/W2408583837","https://openalex.org/W2042728676","https://openalex.org/W2404099564","https://openalex.org/W185868636","https://openalex.org/W4299919650"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
