{"id":"https://openalex.org/W4206837156","doi":"https://doi.org/10.1017/s0960129521000463","title":"A categorical view of varieties of ordered algebras","display_name":"A categorical view of varieties of ordered algebras","publication_year":2022,"publication_date":"2022-01-10","ids":{"openalex":"https://openalex.org/W4206837156","doi":"https://doi.org/10.1017/s0960129521000463"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129521000463","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129521000463","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","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/A5038462111","display_name":"Ji\u0159\u0131\u0301 Ad\u00e1mek","orcid":"https://orcid.org/0000-0001-8562-1233"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]},{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["CZ","DE"],"is_corresponding":false,"raw_author_name":"J. Ad\u00e1mek","raw_affiliation_strings":["Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic","Institute for Theoretical Computer Science, Technical University Braunschweig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Institute for Theoretical Computer Science, Technical University Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030514922","display_name":"Mat\u011bj Dost\u00e1l","orcid":"https://orcid.org/0000-0002-4373-0471"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"M. Dost\u00e1l","raw_affiliation_strings":["Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-4373-0471","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111596606","display_name":"J. Velebil","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"J. Velebil","raw_affiliation_strings":["Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030514922"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":1.0655,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.78795181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"32","issue":"4","first_page":"349","last_page":"373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9962999820709229,"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":0.9962999820709229,"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":0.9915000200271606,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/finitary","display_name":"Finitary","score":0.9992906451225281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6350310444831848},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5704301595687866},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.5415388345718384},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4339018166065216},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3466110825538635},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16147279739379883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11419513821601868},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06399533152580261}],"concepts":[{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.9992906451225281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6350310444831848},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5704301595687866},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.5415388345718384},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4339018166065216},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3466110825538635},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16147279739379883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11419513821601868},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06399533152580261},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129521000463","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129521000463","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W578709777","https://openalex.org/W583126019","https://openalex.org/W1510067240","https://openalex.org/W1595870841","https://openalex.org/W1703954218","https://openalex.org/W1972289972","https://openalex.org/W1978246841","https://openalex.org/W2004318671","https://openalex.org/W2020531742","https://openalex.org/W2073065349","https://openalex.org/W2075406361","https://openalex.org/W2088027070","https://openalex.org/W2090639879","https://openalex.org/W2107674601","https://openalex.org/W2273719480","https://openalex.org/W2561675875","https://openalex.org/W2574983198","https://openalex.org/W2727386241","https://openalex.org/W2801660850","https://openalex.org/W3217207035","https://openalex.org/W6651412518","https://openalex.org/W6694320556"],"related_works":["https://openalex.org/W2976590292","https://openalex.org/W4288102793","https://openalex.org/W4206837156","https://openalex.org/W2975654559","https://openalex.org/W2085314983","https://openalex.org/W2017288906","https://openalex.org/W3110583286","https://openalex.org/W4287587103","https://openalex.org/W4388260081","https://openalex.org/W4287585716"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2],"well":[3],"known":[4],"that":[5,30,43,65,89],"classical":[6],"varieties":[7,25,101],"of":[8,26,33,78,94,111],"$\\Sigma$":[9,28,39],"-algebras":[10],"correspond":[11,45,108],"bijectively":[12,46],"to":[13,47,74,82,107,109,116],"finitary":[14,49,57,67,79,95,112,118],"monads":[15,50,58,68,80,91,96,113,119],"on":[16,51,97,114,120],"$\\mathsf{Set}$":[17,98,115],".":[18,53,99,122],"We":[19,41,63,86],"present":[20],"an":[21],"analogous":[22,73],"result":[23],"for":[24],"ordered":[27],"-algebras,":[29],"is,":[31,55],"categories":[32],"algebras":[34],"presented":[35,102],"by":[36,103],"inequations":[37],"between":[38],"-terms.":[40],"prove":[42],"they":[44],"strongly":[48,66,117],"$\\mathsf{Pos}$":[52,121],"That":[54],"those":[56],"which":[59],"preserve":[60],"reflexive":[61],"coinserters.":[62],"deduce":[64],"have":[69],"a":[70],"coinserter":[71],"presentation,":[72],"the":[75],"coequalizer":[76],"presentation":[77],"due":[81],"Kelly":[83],"and":[84],"Power.":[85],"also":[87],"show":[88],"these":[90],"are":[92,105],"liftings":[93],"Finally,":[100],"equations":[104],"proved":[106],"extensions":[110]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}