{"id":"https://openalex.org/W2036426487","doi":"https://doi.org/10.1080/00207169108803999","title":"Relations on free monoids, their independent sets, and codes<sup>1</sup>","display_name":"Relations on free monoids, their independent sets, and codes<sup>1</sup>","publication_year":1991,"publication_date":"1991-01-01","ids":{"openalex":"https://openalex.org/W2036426487","doi":"https://doi.org/10.1080/00207169108803999","mag":"2036426487"},"language":"en","primary_location":{"id":"doi:10.1080/00207169108803999","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169108803999","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5088351125","display_name":"Helmut J\u00fcrgensen","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"H. J\u00dcrgensen","raw_affiliation_strings":["Department of Computer Science , The University of Western Ontario , London, Ontario, N6A 5B7, Canada","Department of Computer Science, The University of Western Ontario, London, Ontario, N6A 5B7, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science , The University of Western Ontario , London, Ontario, N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Department of Computer Science, The University of Western Ontario, London, Ontario, N6A 5B7, Canada#TAB#","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103183194","display_name":"Shyr-Shen Yu","orcid":"https://orcid.org/0000-0001-5711-5018"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S.S. Yu","raw_affiliation_strings":["Department of Computer Science , The University of Western Ontario , London, Ontario, N6A 5B7, Canada","Department of Computer Science, The University of Western Ontario, London, Ontario, N6A 5B7, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science , The University of Western Ontario , London, Ontario, N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Department of Computer Science, The University of Western Ontario, London, Ontario, N6A 5B7, Canada#TAB#","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088351125"],"corresponding_institution_ids":["https://openalex.org/I125749732"],"apc_list":null,"apc_paid":null,"fwci":2.4833,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.89393939,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":"1-2","first_page":"17","last_page":"46"},"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":0.9926000237464905,"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/T11130","display_name":"Coding theory and cryptography","score":0.9851999878883362,"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/arity","display_name":"Arity","score":0.9319878816604614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7834711670875549},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.7375316023826599},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.7049523591995239},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5907130241394043},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4864504039287567},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45639723539352417},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3928655982017517},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33622634410858154},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24640053510665894},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10142835974693298}],"concepts":[{"id":"https://openalex.org/C110546421","wikidata":"https://www.wikidata.org/wiki/Q1315869","display_name":"Arity","level":2,"score":0.9319878816604614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7834711670875549},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.7375316023826599},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.7049523591995239},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5907130241394043},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4864504039287567},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45639723539352417},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3928655982017517},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33622634410858154},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24640053510665894},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10142835974693298},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169108803999","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169108803999","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":13,"referenced_works":["https://openalex.org/W7861317","https://openalex.org/W648582612","https://openalex.org/W1976591573","https://openalex.org/W1984561949","https://openalex.org/W1994230146","https://openalex.org/W2000929884","https://openalex.org/W2028549635","https://openalex.org/W2059798035","https://openalex.org/W2076508310","https://openalex.org/W2086639373","https://openalex.org/W2094518278","https://openalex.org/W2914677442","https://openalex.org/W4213140122"],"related_works":["https://openalex.org/W1510592503","https://openalex.org/W2230800270","https://openalex.org/W230743427","https://openalex.org/W1556906156","https://openalex.org/W2036426487","https://openalex.org/W4240795220","https://openalex.org/W3036742894","https://openalex.org/W3212268703","https://openalex.org/W2046273500","https://openalex.org/W2379390860"],"abstract_inverted_index":{"Many":[0],"classes":[1,120],"of":[2,9,27,44,49,85,121],"codes":[3,64,122],"can":[4,65,80],"be":[5,66,81],"characterized":[6],"as":[7,25],"families":[8,26,48],"antichains":[10],"with":[11,30],"respect":[12,31],"to":[13,32,83,99],"partial":[14],"orders":[15],"on":[16],"the":[17,41,116],"free":[18],"monoid":[19],"or,":[20],"in":[21,59,70,89],"more":[22],"general":[23,42],"terms,":[24],"independent":[28],"sets":[29,50],"some":[33],"binary":[34,52],"relations.":[35,53],"In":[36],"this":[37,45,78,107],"paper":[38],"we":[39],"investigate":[40],"properties":[43],"connection":[46],"between":[47],"and":[51,69,112],"This":[54,94],"theory":[55,79,108],"provides":[56,109],"a":[57,90,110],"framework":[58],"which":[60,71,119],"known":[61],"results":[62,74],"about":[63],"expressed":[67],"elegantly":[68],"several":[72],"new":[73,101,111],"are":[75,123],"derived.":[76],"Moreover,":[77],"generalized":[82],"relations":[84],"arbitrary":[86],"finite":[87],"arity":[88],"very":[91],"natural":[92],"fashion.":[93],"allows":[95],"us,":[96],"for":[97],"instance,":[98],"prove":[100],"hierarchy":[102],"results.":[103],"More":[104],"importantly,":[105],"however,":[106],"profound":[113],"insight":[114],"into":[115],"mechanisms":[117],"by":[118],"defined.":[124]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
