{"id":"https://openalex.org/W3120212455","doi":"https://doi.org/10.1007/s11083-022-09595-6","title":"The Minor Order of Homomorphisms via Natural Dualities","display_name":"The Minor Order of Homomorphisms via Natural Dualities","publication_year":2022,"publication_date":"2022-04-08","ids":{"openalex":"https://openalex.org/W3120212455","doi":"https://doi.org/10.1007/s11083-022-09595-6","mag":"3120212455"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-022-09595-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-022-09595-6","pdf_url":null,"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":null,"license_id":null,"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":"green","oa_url":"https://orbilu.uni.lu/bitstream/10993/50577/1/MinorHomoV06.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014455848","display_name":"Wolfgang Poiger","orcid":"https://orcid.org/0009-0002-8485-5905"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Wolfgang Poiger","raw_affiliation_strings":["Department of Mathematics, FSTM, University of Luxembourg, 6, Avenue de la Fonte, L-4364, Esch-sur-Alzette, Luxembourg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, FSTM, University of Luxembourg, 6, Avenue de la Fonte, L-4364, Esch-sur-Alzette, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019880686","display_name":"Bruno Teheux","orcid":"https://orcid.org/0000-0002-3007-3089"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":true,"raw_author_name":"Bruno Teheux","raw_affiliation_strings":["Department of Mathematics, FSTM, University of Luxembourg, 6, Avenue de la Fonte, L-4364, Esch-sur-Alzette, Luxembourg"],"raw_orcid":"https://orcid.org/0000-0002-3007-3089","affiliations":[{"raw_affiliation_string":"Department of Mathematics, FSTM, University of Luxembourg, 6, Avenue de la Fonte, L-4364, Esch-sur-Alzette, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019880686"],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01181705,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"1","first_page":"99","last_page":"125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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/T11727","display_name":"Advanced Algebra and Logic","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/T11567","display_name":"semigroups and automata theory","score":0.9961000084877014,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.994700014591217,"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/homomorphism","display_name":"Homomorphism","score":0.8290716409683228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.811326265335083},{"id":"https://openalex.org/keywords/minor","display_name":"Minor (academic)","score":0.7680097818374634},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6902629137039185},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.493656724691391},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.46333447098731995},{"id":"https://openalex.org/keywords/algebra-homomorphism","display_name":"Algebra homomorphism","score":0.4487902522087097},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.44291016459465027},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4347577393054962},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4092484712600708},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3838506042957306},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3671156167984009}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.8290716409683228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.811326265335083},{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.7680097818374634},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6902629137039185},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.493656724691391},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.46333447098731995},{"id":"https://openalex.org/C175316100","wikidata":"https://www.wikidata.org/wiki/Q3882299","display_name":"Algebra homomorphism","level":3,"score":0.4487902522087097},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.44291016459465027},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4347577393054962},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4092484712600708},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3838506042957306},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3671156167984009},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11083-022-09595-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-022-09595-6","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/50577","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/50577","pdf_url":"https://orbilu.uni.lu/bitstream/10993/50577/1/MinorHomoV06.pdf","source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Order: A Journal on the Theory of Ordered Sets and its Applications, 40, 99-125 (2023)","raw_type":"peer reviewed"},{"id":"pmh:oai:orbilu.uni.lu:10993/53565","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/53565","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"AAA100, February 5-7, 2021","raw_type":"info:eu-repo/semantics/conferencePaper"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/a99b153a-9615-4911-b954-19abbe685bf8","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/a99b153a-9615-4911-b954-19abbe685bf8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Poiger , W &amp; Teheux , B 2023 , ' The Minor Order of Homomorphisms via Natural Dualities ' , Order , vol. 40 , no. 1 , pp. 99-125 . https://doi.org/10.1007/s11083-022-09595-6","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:orbilu.uni.lu:10993/50577","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/50577","pdf_url":"https://orbilu.uni.lu/bitstream/10993/50577/1/MinorHomoV06.pdf","source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Order: A Journal on the Theory of Ordered Sets and its Applications, 40, 99-125 (2023)","raw_type":"peer reviewed"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3120212455.pdf","grobid_xml":"https://content.openalex.org/works/W3120212455.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W586993853","https://openalex.org/W628166019","https://openalex.org/W1500907847","https://openalex.org/W1592211005","https://openalex.org/W1602405256","https://openalex.org/W1971473013","https://openalex.org/W1977205581","https://openalex.org/W1981167177","https://openalex.org/W2017096836","https://openalex.org/W2018277356","https://openalex.org/W2020661143","https://openalex.org/W2067751097","https://openalex.org/W2093949981","https://openalex.org/W2117842048","https://openalex.org/W2127989667","https://openalex.org/W2135039967","https://openalex.org/W2140351059","https://openalex.org/W2150109348","https://openalex.org/W2198492702","https://openalex.org/W2616638360","https://openalex.org/W2794356378","https://openalex.org/W2913238120","https://openalex.org/W2963920170","https://openalex.org/W3101957656","https://openalex.org/W3104294797","https://openalex.org/W3127694193","https://openalex.org/W4232420208","https://openalex.org/W4239845368","https://openalex.org/W4400535622"],"related_works":["https://openalex.org/W2397057935","https://openalex.org/W3162132578","https://openalex.org/W3000811452","https://openalex.org/W820932428","https://openalex.org/W2080841754","https://openalex.org/W2954595592","https://openalex.org/W2963257725","https://openalex.org/W2015759975","https://openalex.org/W3003150508","https://openalex.org/W2189235113"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
