{"id":"https://openalex.org/W4383956281","doi":"https://doi.org/10.1002/malq.202200067","title":"On the variety of strong subresiduated lattices","display_name":"On the variety of strong subresiduated lattices","publication_year":2023,"publication_date":"2023-05-01","ids":{"openalex":"https://openalex.org/W4383956281","doi":"https://doi.org/10.1002/malq.202200067"},"language":"en","primary_location":{"id":"doi:10.1002/malq.202200067","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.202200067","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11336/232345","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076062079","display_name":"Sergio A. Celani","orcid":"https://orcid.org/0000-0003-2542-4128"},"institutions":[{"id":"https://openalex.org/I3130805194","display_name":"Universidad Nacional del Centro de la Provincia de Buenos Aires","ror":"https://ror.org/011gakh74","country_code":"AR","type":"education","lineage":["https://openalex.org/I3130805194"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Sergio Celani","raw_affiliation_strings":["Departamento de Matem\u00e1tica Facultad de Ciencias Exactas Universidad Nacional del Centro de la Provincia de Buenos Aires, and Conicet Argentina"],"raw_orcid":"https://orcid.org/0000-0003-2542-4128","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Facultad de Ciencias Exactas Universidad Nacional del Centro de la Provincia de Buenos Aires, and Conicet Argentina","institution_ids":["https://openalex.org/I3130805194"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082353140","display_name":"Hern\u00e1n Javier San Mart\u00edn","orcid":"https://orcid.org/0000-0002-9187-0970"},"institutions":[{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Hern\u00e1n J. San Mart\u00edn","raw_affiliation_strings":["Departamento de Matem\u00e1tica Facultad de Ciencias Exactas Universidad Nacional de La Plata, and Conicet Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Facultad de Ciencias Exactas Universidad Nacional de La Plata, and Conicet Argentina","institution_ids":["https://openalex.org/I874386039"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082353140"],"corresponding_institution_ids":["https://openalex.org/I874386039"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.6943,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73383977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"69","issue":"2","first_page":"207","last_page":"220"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9902999997138977,"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":0.9344000220298767,"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/subvariety","display_name":"Subvariety","score":0.986993670463562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8273019194602966},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.7044268846511841},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6871553659439087},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.6729598045349121},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6258367896080017},{"id":"https://openalex.org/keywords/heyting-algebra","display_name":"Heyting algebra","score":0.5520938038825989},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.5511406064033508},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5027320384979248},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5004816055297852},{"id":"https://openalex.org/keywords/complete-lattice","display_name":"Complete lattice","score":0.4974067509174347},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3881964385509491},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3621847629547119},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.29658982157707214},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.12229165434837341},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09206342697143555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06885349750518799},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.049172043800354004}],"concepts":[{"id":"https://openalex.org/C2777183706","wikidata":"https://www.wikidata.org/wiki/Q630771","display_name":"Subvariety","level":3,"score":0.986993670463562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8273019194602966},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.7044268846511841},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6871553659439087},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.6729598045349121},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6258367896080017},{"id":"https://openalex.org/C187062830","wikidata":"https://www.wikidata.org/wiki/Q1617044","display_name":"Heyting algebra","level":3,"score":0.5520938038825989},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.5511406064033508},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5027320384979248},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5004816055297852},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.4974067509174347},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3881964385509491},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3621847629547119},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.29658982157707214},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.12229165434837341},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09206342697143555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06885349750518799},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.049172043800354004},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.202200067","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.202200067","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/232345","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/232345","pdf_url":null,"source":{"id":"https://openalex.org/S4306402455","display_name":"CONICET Digital (CONICET)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210148385","host_organization_name":"Biomedicine Research Institute of Buenos Aires - CONICET - Partner Institute of the Max Planck Society","host_organization_lineage":["https://openalex.org/I4210148385"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ri.conicet.gov.ar:11336/232345","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/232345","pdf_url":null,"source":{"id":"https://openalex.org/S4306402455","display_name":"CONICET Digital (CONICET)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210148385","host_organization_name":"Biomedicine Research Institute of Buenos Aires - CONICET - Partner Institute of the Max Planck Society","host_organization_lineage":["https://openalex.org/I4210148385"],"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":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4662424825","display_name":null,"funder_award_id":"PIP 11220200100912CO","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G8258332","display_name":null,"funder_award_id":"PIP 11220170100195CO","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"}],"funders":[{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"},{"id":"https://openalex.org/F4320322227","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929"},{"id":"https://openalex.org/F4320334832","display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/03stxzb56"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2023397961","https://openalex.org/W2060027303","https://openalex.org/W2127286919","https://openalex.org/W2170705465","https://openalex.org/W3047122219","https://openalex.org/W3168816907","https://openalex.org/W3202374122","https://openalex.org/W4281713154","https://openalex.org/W4313513828","https://openalex.org/W4400925430"],"related_works":["https://openalex.org/W2756499695","https://openalex.org/W2264018172","https://openalex.org/W1791856340","https://openalex.org/W2280679128","https://openalex.org/W2068129302","https://openalex.org/W866104634","https://openalex.org/W2065004139","https://openalex.org/W1974309644","https://openalex.org/W2054929508","https://openalex.org/W2003137965"],"abstract_inverted_index":{"Abstract":[0],"A":[1,9,21],"subresiduated":[2,58,79,97],"lattice":[3,98],"is":[4,10,16,34,60,101],"a":[5,11,17,61],"pair":[6,39],",":[7,32,83],"where":[8,53],"bounded":[12,18],"distributive":[13],"lattice,":[14],"D":[15],"sublattice":[19],"of":[20,29,46,57,68,78,118],"and":[22,106],"for":[23,109,127],"every":[24,110,128],"there":[25],"exists":[26],"the":[27,30,66,76,87,92,103,107,116,121],"maximum":[28],"set":[31],"which":[33,63],"denoted":[35,81],"by":[36,82,91,120],".":[37,54,89,129],"This":[38],"can":[40],"be":[41],"regarded":[42],"as":[43],"an":[44],"algebra":[45],"type":[47],"(2,":[48],"2,":[49,50],"0,":[51],"0),":[52],"The":[55],"class":[56,122],"lattices":[59],"variety":[62,67],"properly":[64],"contains":[65],"Heyting":[69],"algebras.":[70],"In":[71],"this":[72],"paper":[73],"we":[74,113],"study":[75,115],"subvariety":[77,117],"lattices,":[80],"whose":[84,99,123],"members":[85,124],"satisfy":[86,125],"equation":[88,105],"Inspired":[90],"fact":[93],"that":[94,126],"in":[95],"any":[96],"order":[100],"total":[102],"previous":[104],"condition":[108],"are":[111],"satisfied,":[112],"also":[114],"generated":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}
