{"id":"https://openalex.org/W1994329670","doi":"https://doi.org/10.1007/s00224-007-9064-z","title":"On Aperiodic and Star-Free Formal Power Series in Partially Commuting Variables","display_name":"On Aperiodic and Star-Free Formal Power Series in Partially Commuting Variables","publication_year":2007,"publication_date":"2007-10-26","ids":{"openalex":"https://openalex.org/W1994329670","doi":"https://doi.org/10.1007/s00224-007-9064-z","mag":"1994329670"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-007-9064-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-007-9064-z","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":"Theory of Computing Systems","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/A5026097476","display_name":"Manfred Droste","orcid":"https://orcid.org/0000-0001-9128-8844"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Manfred Droste","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Augustusplatz 10-11, 04109, Leipzig, Germany","Universit\u00e4t Leipzig, Institut f\u00fcr Informatik, Augustusplatz 10-11, 04109 Leipzig, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Augustusplatz 10-11, 04109, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Universit\u00e4t Leipzig, Institut f\u00fcr Informatik, Augustusplatz 10-11, 04109 Leipzig, Germany#TAB#","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064833291","display_name":"Paul Gastin","orcid":"https://orcid.org/0000-0002-1313-7722"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paul Gastin","raw_affiliation_strings":["LSV, CNRS UMR 8643 & ENS de Cachan, 61, Av. du Pr\u00e9sident Wilson, 94235, Cachan Cedex, France","CNRS UMR 8643 & ENS de Cachan, LSV, 61, Av. du Pr\u00e9sident Wilson, 94235, Cachan Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"LSV, CNRS UMR 8643 & ENS de Cachan, 61, Av. du Pr\u00e9sident Wilson, 94235, Cachan Cedex, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS UMR 8643 & ENS de Cachan, LSV, 61, Av. du Pr\u00e9sident Wilson, 94235, Cachan Cedex, France#TAB#","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026097476"],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.1176,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.93598234,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"42","issue":"4","first_page":"608","last_page":"631"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9950000047683716,"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/T10142","display_name":"Formal Methods in Verification","score":0.9915000200271606,"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/aperiodic-graph","display_name":"Aperiodic graph","score":0.9510413408279419},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.856076717376709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7559177875518799},{"id":"https://openalex.org/keywords/semiring","display_name":"Semiring","score":0.6858940124511719},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.6703813076019287},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6000352501869202},{"id":"https://openalex.org/keywords/star-product","display_name":"Star product","score":0.5710135698318481},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.5684548616409302},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.553180456161499},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5315743684768677},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5257469415664673},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.44004788994789124},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42765673995018005},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3654332756996155},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.06052124500274658}],"concepts":[{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.9510413408279419},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.856076717376709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7559177875518799},{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.6858940124511719},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.6703813076019287},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6000352501869202},{"id":"https://openalex.org/C195800304","wikidata":"https://www.wikidata.org/wiki/Q7601281","display_name":"Star product","level":2,"score":0.5710135698318481},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.5684548616409302},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.553180456161499},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5315743684768677},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5257469415664673},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.44004788994789124},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42765673995018005},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3654332756996155},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06052124500274658},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00224-007-9064-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-007-9064-z","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":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.151.6859","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.151.6859","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsv.ens-cachan.fr/Publis/RAPPORTS_LSV/PDF/rr-lsv-2005-12.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.608.6534","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.608.6534","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.informatik.uni-leipzig.de/~droste/papers/Droste-Gastin-Aperiodic.pdf","raw_type":"text"},{"id":"pmh:oai:lips.informatik.uni-leipzig.de:892","is_oa":false,"landing_page_url":"http://lips.informatik.uni-leipzig.de/?q=node/892","pdf_url":null,"source":{"id":"https://openalex.org/S4377196964","display_name":"Publikation Server (Leipzig University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I926574661","host_organization_name":"Leipzig University","host_organization_lineage":["https://openalex.org/I926574661"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theory of Computing Systems 42 (2008), 608-631.","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324136","display_name":"Universit\u00e0 della Calabria","ror":"https://ror.org/02rc97e94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W33714751","https://openalex.org/W85883491","https://openalex.org/W587223573","https://openalex.org/W619262468","https://openalex.org/W870725364","https://openalex.org/W1485757985","https://openalex.org/W1506437980","https://openalex.org/W1516261557","https://openalex.org/W1535408272","https://openalex.org/W1540999307","https://openalex.org/W1557235141","https://openalex.org/W1569419053","https://openalex.org/W1578332044","https://openalex.org/W1605354378","https://openalex.org/W1607161872","https://openalex.org/W1698854595","https://openalex.org/W1975161395","https://openalex.org/W1977150987","https://openalex.org/W1984151763","https://openalex.org/W2000827368","https://openalex.org/W2008496712","https://openalex.org/W2061609277","https://openalex.org/W2080070043","https://openalex.org/W2084532411","https://openalex.org/W2098171268","https://openalex.org/W2116250539","https://openalex.org/W2148722937","https://openalex.org/W2167954650","https://openalex.org/W2561675875","https://openalex.org/W2912084748","https://openalex.org/W4241764762","https://openalex.org/W4243315645","https://openalex.org/W4255417137","https://openalex.org/W6631552010"],"related_works":["https://openalex.org/W2373496770","https://openalex.org/W1981365019","https://openalex.org/W2365154421","https://openalex.org/W4385681521","https://openalex.org/W4367694502","https://openalex.org/W2356435810","https://openalex.org/W4226452061","https://openalex.org/W4312619976","https://openalex.org/W2367030513","https://openalex.org/W4243315645"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
