{"id":"https://openalex.org/W2091311927","doi":"https://doi.org/10.1016/0012-365x(80)90150-8","title":"A proof of Lyndon's finite basis theorem","display_name":"A proof of Lyndon's finite basis theorem","publication_year":1980,"publication_date":"1980-01-01","ids":{"openalex":"https://openalex.org/W2091311927","doi":"https://doi.org/10.1016/0012-365x(80)90150-8","mag":"2091311927"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(80)90150-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(80)90150-8","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete 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/A5061859954","display_name":"Joel Berman","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joel Berman","raw_affiliation_strings":["Mathematics Department, University of Illinois at Chicago Circle, Chicago, IL 60680, U.S.A"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Illinois at Chicago Circle, Chicago, IL 60680, U.S.A","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061859954"],"corresponding_institution_ids":["https://openalex.org/I39422238"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.1392,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.80162636,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"29","issue":"3","first_page":"229","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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":0.9936000108718872,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9933000206947327,"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/mathematics","display_name":"Mathematics","score":0.9097960591316223},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6050401926040649},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5839966535568237},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5811749696731567},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.5108410716056824},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.44719693064689636},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.323896586894989},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06181228160858154}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9097960591316223},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6050401926040649},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5839966535568237},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5811749696731567},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.5108410716056824},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.44719693064689636},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.323896586894989},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06181228160858154}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(80)90150-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(80)90150-8","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1589711670","https://openalex.org/W1600211140","https://openalex.org/W1965230344","https://openalex.org/W1965301224","https://openalex.org/W1984339989","https://openalex.org/W2049482213","https://openalex.org/W2051328978","https://openalex.org/W2068529514","https://openalex.org/W2084214245","https://openalex.org/W2084803705","https://openalex.org/W2099602798","https://openalex.org/W2323961543","https://openalex.org/W2388408070","https://openalex.org/W3127823229","https://openalex.org/W4214594780","https://openalex.org/W4249714686","https://openalex.org/W6886175930"],"related_works":["https://openalex.org/W2999935146","https://openalex.org/W3013460418","https://openalex.org/W2099785256","https://openalex.org/W4324296894","https://openalex.org/W187835144","https://openalex.org/W315696179","https://openalex.org/W4288055874","https://openalex.org/W2186044446","https://openalex.org/W1533619009","https://openalex.org/W4301376359"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
