{"id":"https://openalex.org/W1976087609","doi":"https://doi.org/10.1016/0020-0190(86)90056-6","title":"Square-free words on partially commutative free monoids","display_name":"Square-free words on partially commutative free monoids","publication_year":1986,"publication_date":"1986-03-01","ids":{"openalex":"https://openalex.org/W1976087609","doi":"https://doi.org/10.1016/0020-0190(86)90056-6","mag":"1976087609"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(86)90056-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(86)90056-6","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":"Information Processing Letters","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/A5043162342","display_name":"Arturo Carpi","orcid":"https://orcid.org/0000-0002-3204-488X"},"institutions":[{"id":"https://openalex.org/I234804463","display_name":"Mediterranean Institute of Fundamental Physics","ror":"https://ror.org/0064gh735","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I234804463"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Arturo Carpi","raw_affiliation_strings":["Institute of Fundamental Mathematics, University of Rome, 00100 Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Institute of Fundamental Mathematics, University of Rome, 00100 Rome, Italy","institution_ids":["https://openalex.org/I234804463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103150964","display_name":"Aldo de Luca","orcid":"https://orcid.org/0000-0003-0259-0289"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aldo De Luca","raw_affiliation_strings":["Department of Applied Mathematics \u201cR. Caccioppoli\u201d, University of Napoli, Via Mezzocannone 8, 80134 Napoli, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics \u201cR. Caccioppoli\u201d, University of Napoli, Via Mezzocannone 8, 80134 Napoli, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043162342"],"corresponding_institution_ids":["https://openalex.org/I234804463"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":2.4623,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88076066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"3","first_page":"125","last_page":"131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","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/T11567","display_name":"semigroups and automata theory","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/T11727","display_name":"Advanced Algebra and Logic","score":0.9929999709129333,"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":0.988099992275238,"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/square-free-integer","display_name":"Square-free integer","score":0.8755108118057251},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.8439726233482361},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8132758140563965},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7586140036582947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7314712405204773},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.6701448559761047},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.6581525206565857},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.41587546467781067},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3696300983428955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3518015146255493}],"concepts":[{"id":"https://openalex.org/C188139237","wikidata":"https://www.wikidata.org/wiki/Q50706","display_name":"Square-free integer","level":2,"score":0.8755108118057251},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.8439726233482361},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8132758140563965},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7586140036582947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7314712405204773},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.6701448559761047},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.6581525206565857},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.41587546467781067},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3696300983428955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3518015146255493},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0020-0190(86)90056-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(86)90056-6","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":"Information Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1485536627","https://openalex.org/W1514324498","https://openalex.org/W1600308590","https://openalex.org/W2078226209","https://openalex.org/W2080123161","https://openalex.org/W2163903931","https://openalex.org/W2332825135","https://openalex.org/W6629108688","https://openalex.org/W6630746003","https://openalex.org/W6635772658","https://openalex.org/W6670570159","https://openalex.org/W6684118623"],"related_works":["https://openalex.org/W51936586","https://openalex.org/W2071633178","https://openalex.org/W2375401910","https://openalex.org/W3161268522","https://openalex.org/W4280598225","https://openalex.org/W2383679568","https://openalex.org/W4313593731","https://openalex.org/W1511851241","https://openalex.org/W1494870752","https://openalex.org/W4304189276"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"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"}
