{"id":"https://openalex.org/W2146204671","doi":"https://doi.org/10.1093/jigpal/jzu031","title":"On frontal operators in Hilbert algebras","display_name":"On frontal operators in Hilbert algebras","publication_year":2014,"publication_date":"2014-12-09","ids":{"openalex":"https://openalex.org/W2146204671","doi":"https://doi.org/10.1093/jigpal/jzu031","mag":"2146204671"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzu031","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzu031","pdf_url":"https://academic.oup.com/jigpal/article-pdf/23/2/217/1835192/jzu031.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/jigpal/article-pdf/23/2/217/1835192/jzu031.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087619931","display_name":"Jorge Castiglioni","orcid":null},"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":"J. L. Castiglioni","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata and Conicet, Casilla de correos 172, La Plata 1900, Argentina"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata and Conicet, Casilla de correos 172, La Plata 1900, Argentina","institution_ids":["https://openalex.org/I874386039"]}]},{"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":false,"raw_author_name":"H. J. San Martin","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata and Conicet, Casilla de correos 172, La Plata 1900, Argentina"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata and Conicet, Casilla de correos 172, La Plata 1900, Argentina","institution_ids":["https://openalex.org/I874386039"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087619931"],"corresponding_institution_ids":["https://openalex.org/I874386039"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.3656,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66219432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"23","issue":"2","first_page":"217","last_page":"234"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9994999766349792,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6686060428619385},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5830547213554382},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5589731335639954},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5455746650695801},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5343142747879028},{"id":"https://openalex.org/keywords/nest-algebra","display_name":"Nest algebra","score":0.4964979290962219},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48924803733825684},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.42162415385246277},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23519620299339294},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.08409970998764038},{"id":"https://openalex.org/keywords/non-associative-algebra","display_name":"Non-associative algebra","score":0.07344484329223633},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06378307938575745}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6686060428619385},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5830547213554382},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5589731335639954},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5455746650695801},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5343142747879028},{"id":"https://openalex.org/C207264727","wikidata":"https://www.wikidata.org/wiki/Q6997759","display_name":"Nest algebra","level":5,"score":0.4964979290962219},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48924803733825684},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.42162415385246277},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23519620299339294},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.08409970998764038},{"id":"https://openalex.org/C518143113","wikidata":"https://www.wikidata.org/wiki/Q4391941","display_name":"Non-associative algebra","level":4,"score":0.07344484329223633},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06378307938575745},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/jigpal/jzu031","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzu031","pdf_url":"https://academic.oup.com/jigpal/article-pdf/23/2/217/1835192/jzu031.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/13655","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/13655","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":"doi:10.1093/jigpal/jzu031","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzu031","pdf_url":"https://academic.oup.com/jigpal/article-pdf/23/2/217/1835192/jzu031.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7993572115","display_name":null,"funder_award_id":"11/X667","funder_id":"https://openalex.org/F4320322227","funder_display_name":"Universidad Nacional de La Plata"}],"funders":[{"id":"https://openalex.org/F4320322227","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2146204671.pdf","grobid_xml":"https://content.openalex.org/works/W2146204671.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W112963507","https://openalex.org/W324191818","https://openalex.org/W576366534","https://openalex.org/W627957363","https://openalex.org/W746333381","https://openalex.org/W1519478560","https://openalex.org/W1787367368","https://openalex.org/W1974098798","https://openalex.org/W1994951938","https://openalex.org/W2022177274","https://openalex.org/W2029884971","https://openalex.org/W2045286374","https://openalex.org/W2053722013","https://openalex.org/W2065642116","https://openalex.org/W2069644928","https://openalex.org/W2111979092","https://openalex.org/W2585440023"],"related_works":["https://openalex.org/W2062195135","https://openalex.org/W2795079307","https://openalex.org/W2793058541","https://openalex.org/W3118638206","https://openalex.org/W1983629434","https://openalex.org/W4324271173","https://openalex.org/W2075544818","https://openalex.org/W1967645776","https://openalex.org/W2352227742","https://openalex.org/W4390679071"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,38],"introduce":[4],"and":[5,50,59],"study":[6],"a":[7,40,56],"family":[8],"of":[9,19],"compatible":[10],"functions":[11],"in":[12,16],"Hilbert":[13,53,61],"algebras":[14,21,54,62],"which":[15],"the":[17,24],"case":[18],"Heyting":[20],"agree":[22],"with":[23,55,63],"frontal":[25,57,66],"operators":[26],"given":[27],"by":[28,47],"Esakia":[29],"(2006,":[30],"J.":[31],"Appl.":[32],"Non-Class.":[33],"Log.,":[34],"16,":[35],"349\u2013366).":[36],"Moreover,":[37],"give":[39],"representation":[41],"theory,":[42],"based":[43],"on":[44],"previous":[45],"works":[46],"Cabrer,":[48],"Celani":[49],"Montangie,":[51],"for":[52,60],"operator":[58],"some":[64],"particular":[65],"operators.":[67]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}