{"id":"https://openalex.org/W2016826191","doi":"https://doi.org/10.1002/malq.200710092","title":"Weak\u2010quasi\u2010Stone algebras","display_name":"Weak\u2010quasi\u2010Stone algebras","publication_year":2009,"publication_date":"2009-05-15","ids":{"openalex":"https://openalex.org/W2016826191","doi":"https://doi.org/10.1002/malq.200710092","mag":"2016826191"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200710092","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200710092","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"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/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Sergio A. Celani","raw_affiliation_strings":["CONICET and Departamento de Matem\u00e1ticas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CONICET and Departamento de Matem\u00e1ticas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina#TAB#","institution_ids":["https://openalex.org/I151201029"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004265800","display_name":"Leonardo Manuel Cabrer","orcid":"https://orcid.org/0000-0003-4059-6868"},"institutions":[{"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":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"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":"Leonardo M. Cabrer","raw_affiliation_strings":["CONICET and Departamento de Matema\u0301ticas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina","CONICET and Departamento de Matem\u00e1ticas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CONICET and Departamento de Matema\u0301ticas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina","institution_ids":["https://openalex.org/I3130805194","https://openalex.org/I151201029"]},{"raw_affiliation_string":"CONICET and Departamento de Matem\u00e1ticas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina#TAB#","institution_ids":["https://openalex.org/I151201029"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09927619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"55","issue":"3","first_page":"288","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":1.0,"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":1.0,"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":0.9919000267982483,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/variety","display_name":"Variety (cybernetics)","score":0.7764852643013},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7626702785491943},{"id":"https://openalex.org/keywords/congruence-relation","display_name":"Congruence relation","score":0.6545239090919495},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.653115451335907},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.640894889831543},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5613259077072144},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.545663058757782},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4395506978034973},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4287894666194916},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3780251145362854},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05851796269416809},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.05263930559158325},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.049123525619506836},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04168328642845154}],"concepts":[{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7764852643013},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7626702785491943},{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.6545239090919495},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.653115451335907},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.640894889831543},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5613259077072144},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.545663058757782},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4395506978034973},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4287894666194916},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3780251145362854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05851796269416809},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.05263930559158325},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.049123525619506836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04168328642845154},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.200710092","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200710092","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1590316006","https://openalex.org/W2033904092","https://openalex.org/W2039928244","https://openalex.org/W2061686800","https://openalex.org/W2069397469","https://openalex.org/W2083065713","https://openalex.org/W2093397547","https://openalex.org/W2335542303","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2778946875","https://openalex.org/W2023974151","https://openalex.org/W2163207601","https://openalex.org/W4301322097","https://openalex.org/W3049507786","https://openalex.org/W2103827354","https://openalex.org/W2590546754","https://openalex.org/W4293173044","https://openalex.org/W2472631239","https://openalex.org/W2008149323"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3],"we":[4],"shall":[5,27],"introduce":[6],"the":[7,17,29,36,60,79],"variety":[8,18,37],"WQS":[9,46],"of":[10,16,20,39,59,62,70],"weak\u2010quasi\u2010Stone":[11,52],"algebras":[12,22,84],"as":[13,66],"a":[14,43,51,57],"generalization":[15],"QS":[19],"quasi\u2010Stone":[21],"introduced":[23],"in":[24,33],"[9].":[25],"We":[26,48,75],"apply":[28],"Priestley":[30],"duality":[31,44],"developed":[32],"[4]":[34],"for":[35,45],"N":[38],"\u00ac\u2010lattices":[40],"to":[41],"give":[42],".":[47],"prove":[49],"that":[50],"algebra":[53],"is":[54],"characterized":[55],"by":[56,68],"property":[58],"set":[61],"its":[63],"regular":[64],"elements,":[65],"well":[67],"mean":[69],"some":[71],"principal":[72],"lattice":[73],"congruences.":[74],"will":[76],"also":[77],"determine":[78],"simple":[80],"and":[81],"subdirectly":[82],"irreducible":[83],"(\u00a9":[85],"2009":[86],"WILEY\u2010VCH":[87],"Verlag":[88],"GmbH":[89],"&":[90],"Co.":[91],"KGaA,":[92],"Weinheim)":[93]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}