{"id":"https://openalex.org/W2155768077","doi":"https://doi.org/10.1142/s0218196715500113","title":"On surjunctive monoids","display_name":"On surjunctive monoids","publication_year":2015,"publication_date":"2015-03-19","ids":{"openalex":"https://openalex.org/W2155768077","doi":"https://doi.org/10.1142/s0218196715500113","mag":"2155768077"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196715500113","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196715500113","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.1340","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020507782","display_name":"Tullio Ceccherini\u2010Silberstein","orcid":"https://orcid.org/0000-0002-2394-9820"},"institutions":[{"id":"https://openalex.org/I16337185","display_name":"University of Sannio","ror":"https://ror.org/04vc81p87","country_code":"IT","type":"education","lineage":["https://openalex.org/I16337185"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Tullio Ceccherini-Silberstein","raw_affiliation_strings":["Dipartimento di Ingegneria, Universit\u00e0 del Sannio, C.so Garibaldi 107, 82100 Benevento, Italy","Dipartimento di Ingegneria, Universit\u00e0 del Sannio, C.so Garibaldi, 107, 82100 Benevento, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria, Universit\u00e0 del Sannio, C.so Garibaldi 107, 82100 Benevento, Italy","institution_ids":["https://openalex.org/I16337185"]},{"raw_affiliation_string":"Dipartimento di Ingegneria, Universit\u00e0 del Sannio, C.so Garibaldi, 107, 82100 Benevento, Italy","institution_ids":["https://openalex.org/I16337185"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011263100","display_name":"Michel Coornaert","orcid":null},"institutions":[{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]},{"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":"Michel Coornaert","raw_affiliation_strings":["Institut de Recherche Math\u00e9matique Avanc\u00e9e, UMR 7501, Universit\u00e9 de Strasbourg et CNRS, 7 rue Ren\u00e9-Descartes, 67000 Strasbourg, France","Institut de Recherche Math\u00e9matique Avanc\u00e9e, UMR 7501 Universit\u00e9 de Strasbourg et CNRS 7 rue Ren\u00e9-Descartes, 67000 Strasbourg, France"],"affiliations":[{"raw_affiliation_string":"Institut de Recherche Math\u00e9matique Avanc\u00e9e, UMR 7501, Universit\u00e9 de Strasbourg et CNRS, 7 rue Ren\u00e9-Descartes, 67000 Strasbourg, France","institution_ids":["https://openalex.org/I4210118362","https://openalex.org/I68947357","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut de Recherche Math\u00e9matique Avanc\u00e9e, UMR 7501 Universit\u00e9 de Strasbourg et CNRS 7 rue Ren\u00e9-Descartes, 67000 Strasbourg, France","institution_ids":["https://openalex.org/I4210118362","https://openalex.org/I68947357","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020507782"],"corresponding_institution_ids":["https://openalex.org/I16337185"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08012531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"04","first_page":"567","last_page":"606"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9995999932289124,"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":0.9940999746322632,"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/monoid","display_name":"Monoid","score":0.9358402490615845},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.7929755449295044},{"id":"https://openalex.org/keywords/surjective-function","display_name":"Surjective function","score":0.7065765261650085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6366507411003113},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.5940520763397217},{"id":"https://openalex.org/keywords/syntactic-monoid","display_name":"Syntactic monoid","score":0.5922979116439819},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.558735191822052},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5305918455123901},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4227710962295532},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3605616092681885},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06365945935249329}],"concepts":[{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.9358402490615845},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.7929755449295044},{"id":"https://openalex.org/C119238805","wikidata":"https://www.wikidata.org/wiki/Q229102","display_name":"Surjective function","level":2,"score":0.7065765261650085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6366507411003113},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.5940520763397217},{"id":"https://openalex.org/C119903167","wikidata":"https://www.wikidata.org/wiki/Q3321297","display_name":"Syntactic monoid","level":4,"score":0.5922979116439819},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.558735191822052},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5305918455123901},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4227710962295532},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3605616092681885},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06365945935249329},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s0218196715500113","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196715500113","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.1340","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.1340","pdf_url":"https://arxiv.org/pdf/1409.1340","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2155768077","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1409.1340.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.741.1120","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.741.1120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1409.1340.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1409.1340","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1409.1340","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.1340","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.1340","pdf_url":"https://arxiv.org/pdf/1409.1340","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W181454903","https://openalex.org/W1525717755","https://openalex.org/W1585649433","https://openalex.org/W1604163419","https://openalex.org/W2000270556","https://openalex.org/W2030090544","https://openalex.org/W2043660429","https://openalex.org/W2044077322","https://openalex.org/W2045378373","https://openalex.org/W2051978615","https://openalex.org/W2061789246","https://openalex.org/W2070967830","https://openalex.org/W2076253325","https://openalex.org/W2121593647","https://openalex.org/W2133310942","https://openalex.org/W2170008811","https://openalex.org/W2324812597","https://openalex.org/W2952158202","https://openalex.org/W2963497725","https://openalex.org/W3216142546","https://openalex.org/W4231603893","https://openalex.org/W4245854500","https://openalex.org/W4292512159"],"related_works":["https://openalex.org/W2962957333","https://openalex.org/W2600395003","https://openalex.org/W2518599365","https://openalex.org/W2551912401","https://openalex.org/W2951686230","https://openalex.org/W2343059547","https://openalex.org/W2044077322","https://openalex.org/W2751074591","https://openalex.org/W2952823421","https://openalex.org/W2108387990","https://openalex.org/W2076329201","https://openalex.org/W2777429145","https://openalex.org/W2087051300","https://openalex.org/W2031004675","https://openalex.org/W1988647083","https://openalex.org/W1965368327","https://openalex.org/W2124854215","https://openalex.org/W2056827059","https://openalex.org/W2117548502","https://openalex.org/W2544600950"],"abstract_inverted_index":{"A":[0],"monoid":[1,72,85],"M":[2,15],"is":[3,16,60],"called":[4],"surjunctive":[5,58],"if":[6],"every":[7,54],"injective":[8],"cellular":[9],"automata":[10],"with":[11],"finite":[12,22,35],"alphabet":[13],"over":[14],"surjective.":[17],"We":[18,50],"show":[19,68],"that":[20,53,69],"all":[21,24,29,33,37,43,76],"monoids,":[23,28,32,36,41],"finitely":[25,38],"generated":[26,39],"commutative":[27,31],"cancellative":[30,44],"residually":[34],"linear":[40],"and":[42],"one-sided":[45],"amenable":[46],"monoids":[47,59,77],"are":[48,86],"surjunctive.":[49,62],"also":[51],"prove":[52],"limit":[55],"of":[56],"marked":[57],"itself":[61],"On":[63],"the":[64,70,83],"other":[65],"hand,":[66],"we":[67],"bicyclic":[71,84],"and,":[73],"more":[74],"generally,":[75],"containing":[78],"a":[79],"submonoid":[80],"isomorphic":[81],"to":[82],"non-surjunctive.":[87]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}