{"id":"https://openalex.org/W2575568023","doi":"https://doi.org/10.23638/lmcs-13(3:4)2017","title":"Aspects of algebraic Algebras","display_name":"Aspects of algebraic Algebras","publication_year":2017,"publication_date":"2017-07-10","ids":{"openalex":"https://openalex.org/W2575568023","doi":"https://doi.org/10.23638/lmcs-13(3:4)2017","mag":"2575568023"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-13(3:4)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(3:4)2017","pdf_url":"https://lmcs.episciences.org/3782/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/3782/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028347341","display_name":"Dirk Hofmann","orcid":"https://orcid.org/0000-0002-1082-6135"},"institutions":[{"id":"https://openalex.org/I56125125","display_name":"Polytechnic Institute of Viseu","ror":"https://ror.org/0235kxk33","country_code":"PT","type":"education","lineage":["https://openalex.org/I56125125"]},{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]},{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Dirk Hofmann","raw_affiliation_strings":["Polytechnic Institute of Viseu, 3504-510 Viseu, Portugal","Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal","CMUC, University of Coimbra, 3001-501 Coimbra, Portugal and"],"affiliations":[{"raw_affiliation_string":"Polytechnic Institute of Viseu, 3504-510 Viseu, Portugal","institution_ids":["https://openalex.org/I56125125"]},{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]},{"raw_affiliation_string":"CMUC, University of Coimbra, 3001-501 Coimbra, Portugal and","institution_ids":["https://openalex.org/I76903346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079109887","display_name":"Lurdes Sousa","orcid":"https://orcid.org/0000-0003-0100-1673"},"institutions":[{"id":"https://openalex.org/I56125125","display_name":"Polytechnic Institute of Viseu","ror":"https://ror.org/0235kxk33","country_code":"PT","type":"education","lineage":["https://openalex.org/I56125125"]},{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]},{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Lurdes Sousa","raw_affiliation_strings":["Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal","CMUC, University of Coimbra, 3001-501 Coimbra, Portugal and","Polytechnic Institute of Viseu, 3504-510 Viseu, Portugal"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]},{"raw_affiliation_string":"CMUC, University of Coimbra, 3001-501 Coimbra, Portugal and","institution_ids":["https://openalex.org/I76903346"]},{"raw_affiliation_string":"Polytechnic Institute of Viseu, 3504-510 Viseu, Portugal","institution_ids":["https://openalex.org/I56125125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079109887"],"corresponding_institution_ids":["https://openalex.org/I56125125","https://openalex.org/I60858718","https://openalex.org/I76903346"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00769168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"Volume 13, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9872000217437744,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9872000217437744,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9848999977111816,"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/algebra-over-a-field","display_name":"Algebra over a field","score":0.5513965487480164},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.543387234210968},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5279922485351562},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3799264430999756},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.044057607650756836}],"concepts":[{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5513965487480164},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.543387234210968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5279922485351562},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3799264430999756},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.044057607650756836}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23638/lmcs-13(3:4)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(3:4)2017","pdf_url":"https://lmcs.episciences.org/3782/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1701.03778","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.03778","pdf_url":"https://arxiv.org/pdf/1701.03778","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":null,"raw_type":"text"},{"id":"pmh:oai:estudogeral.sib.uc.pt:10316/43899","is_oa":true,"landing_page_url":"http://hdl.handle.net/10316/43899","pdf_url":"http://hdl.handle.net/10316/43899","source":{"id":"https://openalex.org/S4306401208","display_name":"Estudo Geral (Universidade de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802025818","host_organization_name":"Hospitais da Universidade de Coimbra","host_organization_lineage":["https://openalex.org/I2802025818"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:doaj.org/article:266296fb8151419588a1263532bffa54","is_oa":true,"landing_page_url":"https://doaj.org/article/266296fb8151419588a1263532bffa54","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 13, Issue 3 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.23638/lmcs-13(3:4)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(3:4)2017","pdf_url":"https://lmcs.episciences.org/3782/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1076797115","display_name":null,"funder_award_id":"co-funded","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G1441664954","display_name":null,"funder_award_id":"UID/MAT/00324/2013","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G1607522747","display_name":null,"funder_award_id":"UID/MAT/04106/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G1769075149","display_name":null,"funder_award_id":"FCT/MEC","funder_id":"https://openalex.org/F4320310000","funder_display_name":"Universidade de Aveiro"},{"id":"https://openalex.org/G1966856240","display_name":null,"funder_award_id":"UID/MAT/00324/2013","funder_id":"https://openalex.org/F4320323392","funder_display_name":"Universidade de Coimbra"},{"id":"https://openalex.org/G2673245850","display_name":null,"funder_award_id":"PT2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3069120617","display_name":null,"funder_award_id":"04106","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3788376233","display_name":null,"funder_award_id":"06/20","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G396988802","display_name":null,"funder_award_id":"UID/MAT/04106/2013","funder_id":"https://openalex.org/F4320310000","funder_display_name":"Universidade de Aveiro"},{"id":"https://openalex.org/G4064014049","display_name":null,"funder_award_id":"UID/MAT/00324/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G547185811","display_name":null,"funder_award_id":"PT2020","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G6664703246","display_name":null,"funder_award_id":"PT2020","funder_id":"https://openalex.org/F4320310000","funder_display_name":"Universidade de Aveiro"},{"id":"https://openalex.org/G6751613957","display_name":null,"funder_award_id":"UID/MAT/04106/2013","funder_id":"https://openalex.org/F4320329951","funder_display_name":"Center for Research and Development in Mathematics and Applications"},{"id":"https://openalex.org/G8469452966","display_name":null,"funder_award_id":"FCT/MEC","funder_id":"https://openalex.org/F4320323392","funder_display_name":"Universidade de Coimbra"},{"id":"https://openalex.org/G878132358","display_name":null,"funder_award_id":"CIDMA","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320310000","display_name":"Universidade de Aveiro","ror":"https://ror.org/00nt41z93"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323392","display_name":"Universidade de Coimbra","ror":"https://ror.org/04z8k9a98"},{"id":"https://openalex.org/F4320329951","display_name":"Center for Research and Development in Mathematics and Applications","ror":null},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2575568023.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W768406","https://openalex.org/W162938937","https://openalex.org/W275721105","https://openalex.org/W1482362836","https://openalex.org/W2018996694","https://openalex.org/W2020879982","https://openalex.org/W2032212374","https://openalex.org/W2056223372","https://openalex.org/W2058865873","https://openalex.org/W2073714748","https://openalex.org/W2091016239","https://openalex.org/W2118377474","https://openalex.org/W2149565588","https://openalex.org/W2159344381","https://openalex.org/W2164711115","https://openalex.org/W2243895948","https://openalex.org/W2264663443","https://openalex.org/W2273719480","https://openalex.org/W2327001872","https://openalex.org/W2330760217","https://openalex.org/W2506345338","https://openalex.org/W2572078071","https://openalex.org/W2735511526","https://openalex.org/W2906890904","https://openalex.org/W2915357106","https://openalex.org/W3106368401","https://openalex.org/W3163307291","https://openalex.org/W4205392813","https://openalex.org/W4210463406","https://openalex.org/W4233022570","https://openalex.org/W4254550405"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,26,40,66],"investigate":[4],"important":[5],"categories":[6,55],"lying":[7],"strictly":[8],"between":[9],"the":[10,14,34,42,49,60,75,80,84,88],"Kleisli":[11,81],"category":[12,61,82,89],"and":[13,52],"Eilenberg-Moore":[15],"category,":[16],"for":[17,53],"a":[18,28,72],"Kock-Z\\&amp;quot;oberlein":[19],"monad":[20,86],"on":[21,48,87],"an":[22],"order-enriched":[23],"category.":[24],"Firstly,":[25],"give":[27,71],"characterisation":[29],"of":[30,36,44,56,62,74,79,83,90],"free":[31],"algebras":[32],"in":[33],"spirit":[35],"domain":[37,57],"theory.":[38],"Secondly,":[39],"study":[41],"existence":[43],"weighted":[45],"(co)limits,":[46],"both":[47],"abstract":[50],"level":[51],"specific":[54],"theory":[58],"like":[59],"algebraic":[63],"lattices.":[64],"Finally,":[65],"apply":[67],"these":[68],"results":[69],"to":[70],"description":[73],"idempotent":[76],"split":[77],"completion":[78],"filter":[85],"topological":[91],"spaces.":[92],"Comment:":[93],"small":[94],"corrections":[95]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
