{"id":"https://openalex.org/W2927377027","doi":"https://doi.org/10.1007/s11083-019-09486-3","title":"On Finite Generability of Clones of Finite Posets","display_name":"On Finite Generability of Clones of Finite Posets","publication_year":2019,"publication_date":"2019-04-04","ids":{"openalex":"https://openalex.org/W2927377027","doi":"https://doi.org/10.1007/s11083-019-09486-3","mag":"2927377027"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-019-09486-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-019-09486-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-019-09486-3.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11083-019-09486-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057165684","display_name":"\u00c1d\u00e1m Kunos","orcid":"https://orcid.org/0000-0002-4066-6670"},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"\u00c1d\u00e1m Kunos","raw_affiliation_strings":["Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1, Szeged, 6720, Hungary"],"raw_orcid":"https://orcid.org/0000-0002-4066-6670","affiliations":[{"raw_affiliation_string":"Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1, Szeged, 6720, Hungary","institution_ids":["https://openalex.org/I227486990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015747959","display_name":"Mikl\u00f3s Mar\u00f3ti","orcid":"https://orcid.org/0000-0002-3326-2512"},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Mikl\u00f3s Mar\u00f3ti","raw_affiliation_strings":["Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1, Szeged, 6720, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1, Szeged, 6720, Hungary","institution_ids":["https://openalex.org/I227486990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012653383","display_name":"L\u00e1szl\u00f3 Z\u00e1dori","orcid":"https://orcid.org/0000-0002-2383-2294"},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"L\u00e1szl\u00f3 Z\u00e1dori","raw_affiliation_strings":["Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1, Szeged, 6720, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1, Szeged, 6720, Hungary","institution_ids":["https://openalex.org/I227486990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057165684"],"corresponding_institution_ids":["https://openalex.org/I227486990"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.2021,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51904268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"36","issue":"3","first_page":"653","last_page":"666"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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/T11567","display_name":"semigroups and automata theory","score":0.9932000041007996,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8047226667404175},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.7453048229217529},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6943803429603577},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.670207679271698},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6587764620780945},{"id":"https://openalex.org/keywords/clone","display_name":"clone (Java method)","score":0.6492105722427368},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6423051357269287},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5264963507652283},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4471580386161804}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8047226667404175},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.7453048229217529},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6943803429603577},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.670207679271698},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6587764620780945},{"id":"https://openalex.org/C81089528","wikidata":"https://www.wikidata.org/wiki/Q5134986","display_name":"clone (Java method)","level":3,"score":0.6492105722427368},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6423051357269287},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5264963507652283},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4471580386161804},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C552990157","wikidata":"https://www.wikidata.org/wiki/Q7430","display_name":"DNA","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11083-019-09486-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-019-09486-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-019-09486-3.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},{"id":"pmh:oai:publicatio.bibl.u-szeged.hu:21671","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400436","display_name":"SZTE Publicatio Repozit\u00f3rium (University of Szeged)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I227486990","host_organization_name":"University of Szeged","host_organization_lineage":["https://openalex.org/I227486990"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Cikk"}],"best_oa_location":{"id":"doi:10.1007/s11083-019-09486-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-019-09486-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-019-09486-3.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2459721013","display_name":null,"funder_award_id":"20391-3/2018/FEKUSTRAT","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G2835425762","display_name":null,"funder_award_id":"EFOP-3.6.1-16-2016-00008","funder_id":"https://openalex.org/F4320329149","funder_display_name":"Szegedi Tudom\u00e1nyegyetem"},{"id":"https://openalex.org/G2982857845","display_name":null,"funder_award_id":"EFOP-3.6.1-16-2016-00008","funder_id":"https://openalex.org/F4320323476","funder_display_name":"Emberi Eroforr\u00e1sok Miniszt\u00e9riuma"},{"id":"https://openalex.org/G4576209820","display_name":null,"funder_award_id":"20391-3/2018/FEKUSTRAT","funder_id":"https://openalex.org/F4320323476","funder_display_name":"Emberi Eroforr\u00e1sok Miniszt\u00e9riuma"},{"id":"https://openalex.org/G4672511296","display_name":null,"funder_award_id":"EFOP-3.6.1-16-2016-00008","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G934941519","display_name":null,"funder_award_id":"20391-3/2018","funder_id":"https://openalex.org/F4320323476","funder_display_name":"Emberi Eroforr\u00e1sok Miniszt\u00e9riuma"}],"funders":[{"id":"https://openalex.org/F4320323476","display_name":"Emberi Eroforr\u00e1sok Miniszt\u00e9riuma","ror":"https://ror.org/00rb16m44"},{"id":"https://openalex.org/F4320329149","display_name":"Szegedi Tudom\u00e1nyegyetem","ror":"https://ror.org/01pnej532"},{"id":"https://openalex.org/F4320336675","display_name":"National Research, Development and Innovation Office","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2927377027.pdf","grobid_xml":"https://content.openalex.org/works/W2927377027.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W2016439060","https://openalex.org/W2043509614","https://openalex.org/W2058210561","https://openalex.org/W2150532129","https://openalex.org/W2170047252"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W4390961156","https://openalex.org/W1963087247","https://openalex.org/W2377327490","https://openalex.org/W4312224320","https://openalex.org/W2347443236","https://openalex.org/W4205203210","https://openalex.org/W2560253012","https://openalex.org/W4221165195","https://openalex.org/W2943846678"],"abstract_inverted_index":{"In":[0],"the":[1,35,47,54,62,69,87,104,107,111,132,146,160,217,244],"first":[2],"part":[3,109],"of":[4,12,18,27,32,38,43,51,56,64,72,89,110,134,154,162,166,186,194,211,219,237],"this":[5,99,155],"paper":[6,37],"we":[7],"present":[8],"a":[9,65,115,167,187,220,230],"new":[10],"family":[11,42,55],"finite":[13,44,48,168,190,221],"bounded":[14,135,169,189,222],"posets":[15,45,136],"whose":[16,192,202],"clones":[17,133],"monotone":[19,116,143,241],"operations":[20,144,165,197],"are":[21,30,95,137],"not":[22,81,96,205],"finitely":[23,78,172,178,199,206,225],"generated.":[24,207],"The":[25],"proofs":[26],"these":[28],"results":[29,105],"analogues":[31],"those":[33],"in":[34,98,106],"famous":[36],"Tardos.":[39],"Another":[40,208],"interesting":[41,209],"from":[46],"generability":[49],"point":[50],"view":[52],"is":[53,71,77,121,157,171,177,198,204,214,224],"locked":[57,66],"crowns.":[58],"To":[59],"decide":[60],"whether":[61],"clone":[63,161,176,193,203,218],"crown":[67,70],"where":[68],"at":[73],"least":[74],"six":[75],"elements":[76],"generated":[79,138,179,200],"or":[80,124],"one":[82],"needs":[83],"to":[84,103,126],"go":[85],"beyond":[86],"scope":[88],"Tardos\u2019s":[90],"proof.":[91],"Although":[92],"our":[93,212],"investigations":[94],"conclusive":[97],"direction,":[100],"they":[101],"led":[102],"second":[108],"paper.":[112],"We":[113,129,182],"call":[114],"operation":[117,242],"ascending":[118,141,163,195,239],"if":[119,159,216],"it":[120,228],"greater":[122],"than":[123],"equal":[125],"some":[127],"projection.":[128],"prove":[130],"that":[131,158,215,235],"by":[139],"certain":[140],"idempotent":[142,164,196,240],"and":[145,148,243,246],"0":[147,245],"1":[149,247],"constant":[150,248],"operations.":[151,249],"A":[152],"consequence":[153,210],"result":[156,213],"poset":[170,191,223],"generated,":[173,226],"then":[174,227],"its":[175],"as":[180],"well.":[181],"provide":[183],"an":[184,238],"example":[185],"half":[188],"but":[201],"has":[229],"three":[231],"element":[232],"generating":[233],"set":[234],"consists":[236]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-12T08:28:47.272897","created_date":"2025-10-10T00:00:00"}