{"id":"https://openalex.org/W4410729429","doi":"https://doi.org/10.1007/s11225-025-10188-8","title":"Topological Classes of MV-Algebras","display_name":"Topological Classes of MV-Algebras","publication_year":2025,"publication_date":"2025-05-26","ids":{"openalex":"https://openalex.org/W4410729429","doi":"https://doi.org/10.1007/s11225-025-10188-8"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-025-10188-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-025-10188-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-025-10188-8.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11225-025-10188-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003750290","display_name":"Giuseppina Barbieri","orcid":"https://orcid.org/0000-0002-6460-1951"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giuseppina Barbieri","raw_affiliation_strings":["Universit\u00e0 degli Studi di Salerno, Fisciano, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112319645","display_name":"Antonio Di Nola","orcid":null},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Di Nola","raw_affiliation_strings":["Universit\u00e0 degli Studi di Salerno, Fisciano, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031905327","display_name":"Giacomo Lenzi","orcid":"https://orcid.org/0000-0002-5599-2604"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giacomo Lenzi","raw_affiliation_strings":["Universit\u00e0 degli Studi di Salerno, Fisciano, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003750290"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12987113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"1","first_page":"11","last_page":"33"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9986000061035156,"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":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-linguistics","display_name":"Computational linguistics","score":0.6212588548660278},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5786044597625732},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.48389872908592224},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4802706241607666},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39490559697151184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28370386362075806},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19666782021522522},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1293935775756836}],"concepts":[{"id":"https://openalex.org/C155092808","wikidata":"https://www.wikidata.org/wiki/Q182557","display_name":"Computational linguistics","level":2,"score":0.6212588548660278},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5786044597625732},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.48389872908592224},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4802706241607666},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39490559697151184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28370386362075806},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19666782021522522},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1293935775756836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11225-025-10188-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-025-10188-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-025-10188-8.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11225-025-10188-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-025-10188-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-025-10188-8.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324133","display_name":"Universit\u00e0 degli Studi di Salerno","ror":"https://ror.org/0192m2k53"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410729429.pdf","grobid_xml":"https://content.openalex.org/works/W4410729429.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W36355091","https://openalex.org/W1535347767","https://openalex.org/W1578620118","https://openalex.org/W1968981513","https://openalex.org/W1969303818","https://openalex.org/W1981179930","https://openalex.org/W1981448743","https://openalex.org/W1985104705","https://openalex.org/W1991966428","https://openalex.org/W2049266197","https://openalex.org/W2055734974","https://openalex.org/W2065498341","https://openalex.org/W2083594227","https://openalex.org/W2330601951","https://openalex.org/W2960234063","https://openalex.org/W2963087476","https://openalex.org/W2963796483","https://openalex.org/W2971268466","https://openalex.org/W3040263023","https://openalex.org/W3083564101","https://openalex.org/W3161850903","https://openalex.org/W4248857920","https://openalex.org/W4282049073","https://openalex.org/W4396747965"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2014330921"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"is":[3,26,36,47],"concerned":[4],"with":[5,21],"the":[6,9,15,22,49,54,72,97,103,109],"properties":[7,65,77],"of":[8,12,17,31,53,60,66,99,105,111],"prime":[10,19,34,55],"spectrum":[11,35,56],"MV-algebras,":[13,107],"namely":[14],"space":[16],"its":[18],"ideals":[20],"Zariski":[23],"topology":[24],"which":[25,68],"an":[27],"important":[28],"topological":[29,93],"invariant":[30,39],"MV-algebras.":[32],"The":[33],"a":[37,58],"complete":[38],"in":[40,44],"Boolean":[41],"algebras,":[42],"but":[43],"MV-algebras":[45,67,101,113],"this":[46],"not":[48],"case.":[50],"Nevertheless":[51],"knowledge":[52],"gives":[57],"lot":[59],"information:":[61],"There":[62],"are":[63,92,117],"many":[64],"depend":[69],"only":[70],"on":[71],"spectrum.":[73],"We":[74],"call":[75],"these":[76],"\u201ctopological\u201d":[78],"and":[79,89,102,114],"we":[80,85],"study":[81],"them.":[82],"For":[83],"instance,":[84],"prove":[86],"that":[87],"simplicity":[88,91],"strong":[90],"as":[94,96],"well":[95],"class":[98,104,110],"hyperarchimedean":[100],"regular":[106],"while":[108],"perfect":[112],"algebraically":[115],"closed":[116],"not.":[118]},"counts_by_year":[],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-10-10T00:00:00"}
