{"id":"https://openalex.org/W1835399749","doi":"https://doi.org/10.1093/logcom/exn082","title":"Categorical Equivalences for Formula quasi-MV Algebras","display_name":"Categorical Equivalences for Formula quasi-MV Algebras","publication_year":2008,"publication_date":"2008-12-22","ids":{"openalex":"https://openalex.org/W1835399749","doi":"https://doi.org/10.1093/logcom/exn082","mag":"1835399749"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exn082","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exn082","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"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":"Journal of Logic and Computation","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/A5075904550","display_name":"Roberto Giuntini","orcid":"https://orcid.org/0000-0003-2078-0297"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"R. Giuntini","raw_affiliation_strings":["Department of Education, University of Cagliari, Cagliari, Italy","Department of Education, University of Cagliari, Cagliari, Italy.E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Education, University of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Department of Education, University of Cagliari, Cagliari, Italy.E-mail:","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101735626","display_name":"Francesco Paoli","orcid":"https://orcid.org/0000-0001-7915-3832"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"F. Paoli","raw_affiliation_strings":["Department of Education, University of Cagliari, Cagliari, Italy","Department of Education, University of Cagliari, Cagliari, Italy.E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Education, University of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Department of Education, University of Cagliari, Cagliari, Italy.E-mail:","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010857507","display_name":"Antonio Ledda","orcid":"https://orcid.org/0000-0003-2569-7214"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"A. Ledda","raw_affiliation_strings":["Department of Education, University of Cagliari, Cagliari, Italy","Department of Education, University of Cagliari, Cagliari, Italy.E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Education, University of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Department of Education, University of Cagliari, Cagliari, Italy.E-mail:","institution_ids":["https://openalex.org/I172446870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010857507","https://openalex.org/A5075904550","https://openalex.org/A5101735626"],"corresponding_institution_ids":["https://openalex.org/I172446870"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":2.3615,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87687775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"4","first_page":"795","last_page":"810"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9987000226974487,"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":0.9987000226974487,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9764999747276306,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9269000291824341,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/library-science","display_name":"Library science","score":0.4013117551803589},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24947383999824524}],"concepts":[{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.4013117551803589},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24947383999824524}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/logcom/exn082","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exn082","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"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":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:iris.unica.it:11584/97049","is_oa":false,"landing_page_url":"http://hdl.handle.net/11584/97049","pdf_url":null,"source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1971712894","https://openalex.org/W1993190958","https://openalex.org/W2119670110","https://openalex.org/W2282828050","https://openalex.org/W4230800206"],"related_works":["https://openalex.org/W2010066730","https://openalex.org/W658636438","https://openalex.org/W4242188614","https://openalex.org/W617126653","https://openalex.org/W2039589765","https://openalex.org/W2070869476","https://openalex.org/W654893371","https://openalex.org/W2001060508","https://openalex.org/W1564778502","https://openalex.org/W611717159"],"abstract_inverted_index":{"In":[0,52],"previous":[1],"investigations":[2],"into":[3,81],"the":[4,43,92,101,114,125,144,152],"subject":[5],"[Giuntini":[6],"et":[7,15,25],"al.":[8,16,26],"(2007,":[9],"Studia":[10],"Logica,":[11],"87,":[12],"99\u2013128),":[13],"Paoli":[14],"(2008,":[17,27],"Reports":[18],"on":[19,58],"Mathematical":[20],"Logic,":[21],"44,":[22],"53\u201385),":[23],"Bou":[24],"Soft":[28],"Computing,":[29],"12,":[30],"341\u2013352)],":[31],"'":[32,66,76,96],"quasi-MV":[33,49,67,77,97],"algebras":[34,98,103],"have":[35],"been":[36],"mainly":[37],"viewed":[38],"as":[39],"preordered":[40],"structures":[41],"w.r.t.":[42],"induced":[44],"preorder":[45],"relation":[46,61],"of":[47,94,116,127,133,147,154],"their":[48,105],"term":[50],"reducts.":[51],"this":[53],"article,":[54],"we":[55,136],"shall":[56,70],"focus":[57],"a":[59,85,131,138],"different":[60],"which":[62],"partially":[63],"orders":[64],"cartesian":[65,75,95],"algebras.":[68,129],"We":[69],"prove":[71],"that:":[72],"(i)":[73],"every":[74],"algebra":[78],"is":[79,110],"embeddable":[80],"an":[82],"interval":[83],"in":[84],"particular":[86],"Abelian":[87,155],"\u2113-group":[88],"with":[89,100,149,158],"operators;":[90],"(ii)":[91],"category":[93,115,126,146,153],"isomorphic":[99],"pair":[102],"over":[104],"own":[106],"polynomial":[107],"MV":[108,128],"subreducts":[109],"equivalent":[111],"both":[112],"to":[113,124],"such":[117],"\u2113-groups":[118,148,156],"(with":[119],"strong":[120,159],"order":[121,160],"unit),":[122],"and":[123,151],"As":[130],"by-product":[132],"these":[134],"results":[135],"obtain":[137],"purely":[139],"group-theoretical":[140],"equivalence,":[141],"namely":[142],"between":[143],"mentioned":[145],"operators":[150],"(both":[157],"unit).":[161]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2016-06-24T00:00:00"}