{"id":"https://openalex.org/W4389147440","doi":"https://doi.org/10.1007/s11083-023-09652-8","title":"A Study on Some Classes of Distributive Lattices with a Generalized Implication","display_name":"A Study on Some Classes of Distributive Lattices with a Generalized Implication","publication_year":2023,"publication_date":"2023-11-29","ids":{"openalex":"https://openalex.org/W4389147440","doi":"https://doi.org/10.1007/s11083-023-09652-8"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-023-09652-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-023-09652-8","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":"http://hdl.handle.net/11336/232309","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056255399","display_name":"Ismael Calomino","orcid":"https://orcid.org/0000-0001-9559-3360"},"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":true,"raw_author_name":"Ismael Calomino","raw_affiliation_strings":["CIC and NUCOMPA, Facultad de Ciencias Exactas, Universidad Nacional del Centro, 7000 Tandil, Pinto 399, Argentina"],"raw_orcid":"https://orcid.org/0000-0001-9559-3360","affiliations":[{"raw_affiliation_string":"CIC and NUCOMPA, Facultad de Ciencias Exactas, Universidad Nacional del Centro, 7000 Tandil, Pinto 399, Argentina","institution_ids":["https://openalex.org/I3130805194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111083057","display_name":"Jorge 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":false,"raw_author_name":"Jorge Castro","raw_affiliation_strings":["Departamento de Matem\u00e1tica, F\u00edsica y Qu\u00edmica, FCEFN, Universidad Nacional de San Juan, San Juan, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, F\u00edsica y Qu\u00edmica, FCEFN, Universidad Nacional de San Juan, San Juan, Argentina","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/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":["CONICET and Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional del Centro, 7000 Tandil, Pinto 399, Argentina"],"raw_orcid":"https://orcid.org/0000-0003-2542-4128","affiliations":[{"raw_affiliation_string":"CONICET and Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional del Centro, 7000 Tandil, Pinto 399, Argentina","institution_ids":["https://openalex.org/I3130805194"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072003008","display_name":"Luciana Valenzuela","orcid":"https://orcid.org/0009-0009-4636-6829"},"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":"Luciana Valenzuela","raw_affiliation_strings":["CONICET and Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional del Centro, 7000 Tandil, Pinto 399, Argentina"],"raw_orcid":"https://orcid.org/0009-0009-4636-6829","affiliations":[{"raw_affiliation_string":"CONICET and Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional del Centro, 7000 Tandil, Pinto 399, Argentina","institution_ids":["https://openalex.org/I3130805194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056255399"],"corresponding_institution_ids":["https://openalex.org/I3130805194"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23509692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"3","first_page":"671","last_page":"691"},"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9937999844551086,"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":0.9934999942779541,"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/distributive-property","display_name":"Distributive property","score":0.8521360158920288},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7778830528259277},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.7004179358482361},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5545425415039062},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48353075981140137},{"id":"https://openalex.org/keywords/interior-algebra","display_name":"Interior algebra","score":0.48065149784088135},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4696354568004608},{"id":"https://openalex.org/keywords/heyting-algebra","display_name":"Heyting algebra","score":0.46648719906806946},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.4572548270225525},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.41472291946411133},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3477490544319153},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.25701606273651123},{"id":"https://openalex.org/keywords/non-associative-algebra","display_name":"Non-associative algebra","score":0.1628616750240326},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.08350616693496704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08159312605857849}],"concepts":[{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.8521360158920288},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7778830528259277},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.7004179358482361},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5545425415039062},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48353075981140137},{"id":"https://openalex.org/C203254541","wikidata":"https://www.wikidata.org/wiki/Q10894825","display_name":"Interior algebra","level":5,"score":0.48065149784088135},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4696354568004608},{"id":"https://openalex.org/C187062830","wikidata":"https://www.wikidata.org/wiki/Q1617044","display_name":"Heyting algebra","level":3,"score":0.46648719906806946},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4572548270225525},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.41472291946411133},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3477490544319153},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25701606273651123},{"id":"https://openalex.org/C518143113","wikidata":"https://www.wikidata.org/wiki/Q4391941","display_name":"Non-associative algebra","level":4,"score":0.1628616750240326},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.08350616693496704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08159312605857849},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11083-023-09652-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-023-09652-8","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:ri.conicet.gov.ar:11336/232309","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/232309","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"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:11336/232309","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/232309","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"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/G2696609619","display_name":null,"funder_award_id":"PIP 11220200101301","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G285789738","display_name":null,"funder_award_id":"101007627","funder_id":"https://openalex.org/F4320312727","funder_display_name":"Mosaic Company"}],"funders":[{"id":"https://openalex.org/F4320312727","display_name":"Mosaic Company","ror":null},{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1854559874","https://openalex.org/W1964364843","https://openalex.org/W1970249071","https://openalex.org/W1983769892","https://openalex.org/W2046630334","https://openalex.org/W2047897946","https://openalex.org/W2053013736","https://openalex.org/W2060027303","https://openalex.org/W2061060225","https://openalex.org/W2064894836","https://openalex.org/W2067332512","https://openalex.org/W2100220361","https://openalex.org/W2111979092","https://openalex.org/W2127286919","https://openalex.org/W2140351059","https://openalex.org/W2170705465","https://openalex.org/W2335935258","https://openalex.org/W2785885914","https://openalex.org/W3028661280","https://openalex.org/W3047122219","https://openalex.org/W3115054903","https://openalex.org/W3193963478"],"related_works":["https://openalex.org/W4232534867","https://openalex.org/W2037861231","https://openalex.org/W2792734229","https://openalex.org/W2122961867","https://openalex.org/W4381135513","https://openalex.org/W2076375556","https://openalex.org/W2063965687","https://openalex.org/W4255268210","https://openalex.org/W2150191098","https://openalex.org/W2041835071"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-24T23:23:39.755997","created_date":"2025-10-10T00:00:00"}
