{"id":"https://openalex.org/W2061060225","doi":"https://doi.org/10.1007/s11083-010-9168-y","title":"Distributive Lattices with a Generalized Implication: Topological Duality","display_name":"Distributive Lattices with a Generalized Implication: Topological Duality","publication_year":2010,"publication_date":"2010-07-21","ids":{"openalex":"https://openalex.org/W2061060225","doi":"https://doi.org/10.1007/s11083-010-9168-y","mag":"2061060225"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-010-9168-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-010-9168-y","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102123728","display_name":"Jorge E. Castro","orcid":null},"institutions":[{"id":"https://openalex.org/I39553462","display_name":"National University of San Juan","ror":"https://ror.org/02rsnav77","country_code":"AR","type":"education","lineage":["https://openalex.org/I39553462"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Jorge E. Castro","raw_affiliation_strings":["Universidad Nacional de San Juan, San Juan, Argentina","Universidad Nacional de San Juan"],"affiliations":[{"raw_affiliation_string":"Universidad Nacional de San Juan, San Juan, Argentina","institution_ids":["https://openalex.org/I39553462"]},{"raw_affiliation_string":"Universidad Nacional de San Juan","institution_ids":["https://openalex.org/I39553462"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076062079","display_name":"Sergio A. Celani","orcid":"https://orcid.org/0000-0003-2542-4128"},"institutions":[{"id":"https://openalex.org/I4210095581","display_name":"Universidad Nacional del Centro del Per\u00fa","ror":"https://ror.org/008d6q968","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210095581"]},{"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"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR","PE"],"is_corresponding":false,"raw_author_name":"Sergio Arturo Celani","raw_affiliation_strings":["CONICET and Departamento de Matem\u00e1ticas, Universidad Nacional del Centro, Tandil, Argentina","Universidad Nacional del Centro"],"affiliations":[{"raw_affiliation_string":"CONICET and Departamento de Matem\u00e1ticas, Universidad Nacional del Centro, Tandil, Argentina","institution_ids":["https://openalex.org/I3130805194","https://openalex.org/I151201029"]},{"raw_affiliation_string":"Universidad Nacional del Centro","institution_ids":["https://openalex.org/I4210095581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076924750","display_name":"Ram\u00f3n Jansana","orcid":"https://orcid.org/0000-0003-4191-5699"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ramon Jansana","raw_affiliation_strings":["Dept. L\u00f2gica, Hist\u00f2ria i Filsofia de la Ci\u00e8ncia, Universitat de Barcelona, Montalegre 6, 08001, Barcleona, Spain","Universitat\u00a0 de Barcelona"],"affiliations":[{"raw_affiliation_string":"Dept. L\u00f2gica, Hist\u00f2ria i Filsofia de la Ci\u00e8ncia, Universitat de Barcelona, Montalegre 6, 08001, Barcleona, Spain","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"Universitat\u00a0 de Barcelona","institution_ids":["https://openalex.org/I71999127"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102123728"],"corresponding_institution_ids":["https://openalex.org/I39553462"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.13478824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":"2","first_page":"227","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9983000159263611,"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":0.9983000159263611,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9523000121116638,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9409999847412109,"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/mathematics","display_name":"Mathematics","score":0.8323056697845459},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.7292264699935913},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6147174835205078},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.595621645450592},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.5286272764205933},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.503351628780365},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48580026626586914},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.43285033106803894},{"id":"https://openalex.org/keywords/heyting-algebra","display_name":"Heyting algebra","score":0.41617411375045776},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3566816449165344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33847057819366455},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.26517799496650696}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8323056697845459},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.7292264699935913},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6147174835205078},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.595621645450592},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.5286272764205933},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.503351628780365},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48580026626586914},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.43285033106803894},{"id":"https://openalex.org/C187062830","wikidata":"https://www.wikidata.org/wiki/Q1617044","display_name":"Heyting algebra","level":3,"score":0.41617411375045776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3566816449165344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33847057819366455},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.26517799496650696},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11083-010-9168-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-010-9168-y","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:CiteSeerX.psu:10.1.1.544.1749","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.544.1749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.ub.edu/~logica/docs/DLGi-Last.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2046630334","https://openalex.org/W2060027303","https://openalex.org/W2061319273","https://openalex.org/W2061686800","https://openalex.org/W2064894836","https://openalex.org/W2140351059","https://openalex.org/W2785885914"],"related_works":["https://openalex.org/W4232534867","https://openalex.org/W2037861231","https://openalex.org/W2792734229","https://openalex.org/W2307047024","https://openalex.org/W2122961867","https://openalex.org/W1975062576","https://openalex.org/W871156903","https://openalex.org/W4381135513","https://openalex.org/W2063965687","https://openalex.org/W2041835071"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}