{"id":"https://openalex.org/W4396747965","doi":"https://doi.org/10.1007/s00153-024-00926-5","title":"Spectral MV-algebras and equispectrality","display_name":"Spectral MV-algebras and equispectrality","publication_year":2024,"publication_date":"2024-05-08","ids":{"openalex":"https://openalex.org/W4396747965","doi":"https://doi.org/10.1007/s00153-024-00926-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-024-00926-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-024-00926-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-024-00926-5.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","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/s00153-024-00926-5.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 Gerarda Barbieri","raw_affiliation_strings":["Department of Mathematics, University of Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, 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":["Department of Mathematics, University of Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, 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":["Department of Mathematics, University of Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, 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":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.3804,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59501449,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"63","issue":"7-8","first_page":"893","last_page":"919"},"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":0.9977999925613403,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9926000237464905,"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/mathematics","display_name":"Mathematics","score":0.8075340390205383},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6370978355407715},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.4724864363670349},{"id":"https://openalex.org/keywords/prime-ideal","display_name":"Prime ideal","score":0.4624374806880951},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44717052578926086},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.43762069940567017},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.43351536989212036},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3974052667617798},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3637484312057495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34431102871894836}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8075340390205383},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6370978355407715},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.4724864363670349},{"id":"https://openalex.org/C2779467367","wikidata":"https://www.wikidata.org/wiki/Q863912","display_name":"Prime ideal","level":3,"score":0.4624374806880951},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44717052578926086},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.43762069940567017},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.43351536989212036},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3974052667617798},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3637484312057495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34431102871894836},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"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/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-024-00926-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-024-00926-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-024-00926-5.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00153-024-00926-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-024-00926-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-024-00926-5.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","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":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396747965.pdf"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W12573732","https://openalex.org/W201445102","https://openalex.org/W602267562","https://openalex.org/W1969303818","https://openalex.org/W1978955535","https://openalex.org/W1981179930","https://openalex.org/W1985104705","https://openalex.org/W2005606571","https://openalex.org/W2019261690","https://openalex.org/W2047723833","https://openalex.org/W2051064598","https://openalex.org/W2082077150","https://openalex.org/W2085490928","https://openalex.org/W2907045986","https://openalex.org/W2963087476","https://openalex.org/W4248128561","https://openalex.org/W4248857920"],"related_works":["https://openalex.org/W2045160990","https://openalex.org/W1570508263","https://openalex.org/W3198669146","https://openalex.org/W2992465729","https://openalex.org/W176360739","https://openalex.org/W4385629668","https://openalex.org/W4313185199","https://openalex.org/W4287812214","https://openalex.org/W2768804469","https://openalex.org/W2228958620"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3,112],"we":[4,15],"study":[5],"the":[6,17,31,67,111,145,159],"set":[7,100],"of":[8,19,33,69,101,110,134],"MV-algebras":[9,77,80,102,120],"with":[10,103,147,158],"given":[11,104],"prime":[12,36,105],"spectrum":[13],"and":[14,78,121,163],"introduce":[16],"class":[18],"spectral":[20,25,48,79],"MV-algebras.":[21,56],"An":[22,57],"MV-algebra":[23,58,68,130,154],"is":[24,28,52,59,94,113,131,167],"if":[26,61,162,165],"it":[27,62,166],"generated":[29],"by":[30],"union":[32],"all":[34],"its":[35],"ideals":[37],"(or":[38],"proper":[39],"ideals,":[40,43],"or":[41,44],"principal":[42],"maximal":[45],"ideals).":[46],"Among":[47],"MV-algebras,":[49],"special":[50],"attention":[51],"devoted":[53,114],"to":[54,97,115],"bipartite":[55,60,76,119],"admits":[63,155],"an":[64,129,153],"homomorphism":[65],"onto":[66],"two":[70],"elements.":[71],"We":[72,89,150],"prove":[73,91],"that":[74,92,125,152],"both":[75],"can":[81],"be":[82],"finitely":[83],"axiomatized":[84],"in":[85],"first":[86],"order":[87],"logic.":[88],"also":[90],"there":[93],"only,":[95],"up":[96],"isomorphism,":[98],"a":[99,126,132,135,139,156],"spectrum.":[106],"A":[107],"further":[108],"part":[109],"some":[116],"relations":[117],"between":[118],"their":[122],"states.":[123],"Recall":[124],"state":[127,157],"on":[128,138],"generalization":[133],"probability":[136],"measure":[137],"Boolean":[140],"algebra.":[141],"Particular":[142],"states":[143,146],"are":[144],"Bayes\u2019":[148,160],"property.":[149],"show":[151],"property":[161],"only":[164],"bipartite.":[168]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
