{"id":"https://openalex.org/W2092308947","doi":"https://doi.org/10.1007/s11083-005-0941-2","title":"Good and Bad Infinitesimals, and States on Pseudo MV-algebras","display_name":"Good and Bad Infinitesimals, and States on Pseudo MV-algebras","publication_year":2004,"publication_date":"2004-11-01","ids":{"openalex":"https://openalex.org/W2092308947","doi":"https://doi.org/10.1007/s11083-005-0941-2","mag":"2092308947"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-005-0941-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-005-0941-2","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","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/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":["Dep. Math. Inform., University of Salerno, Via Ponte don Melillo, I-84084 Fisciano, Salerno, Italy","University of Salerno"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. Math. Inform., University of Salerno, Via Ponte don Melillo, I-84084 Fisciano, Salerno, Italy","institution_ids":["https://openalex.org/I131729948"]},{"raw_affiliation_string":"University of Salerno","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056475733","display_name":"Anatolij Dvure\u010denskij","orcid":null},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"government","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Anatolij Dvure\u010denskij","raw_affiliation_strings":["Mathematical Institute, Slovak Academy of Sciences, \u0160tef\u00e1nikova 49, SK-814 73, Bratislava, Slovakia","Slovak Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Slovak Academy of Sciences, \u0160tef\u00e1nikova 49, SK-814 73, Bratislava, Slovakia","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Slovak Academy of Sciences","institution_ids":["https://openalex.org/I207624831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048482070","display_name":"J\u00e1n Jakub\u00edk","orcid":"https://orcid.org/0000-0002-1737-1487"},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"government","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"J\u00e1n Jakub\u00edk","raw_affiliation_strings":["Mathematical Institute, Slovak Academy of Sciences, Gre\u0161\u00e1kova 6, SK-040 01, Ko\u0161ice, Slovakia","Slovak Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Slovak Academy of Sciences, Gre\u0161\u00e1kova 6, SK-040 01, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Slovak Academy of Sciences","institution_ids":["https://openalex.org/I207624831"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3845,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.81558526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"21","issue":"4","first_page":"293","last_page":"314"},"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":0.9983999729156494,"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":0.9943000078201294,"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/subvariety","display_name":"Subvariety","score":0.9463018178939819},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.8768107891082764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7416924834251404},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5249164700508118},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5204582214355469},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4945771396160126},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4813578724861145},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4460570812225342},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.15559059381484985},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1202729344367981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10308894515037537}],"concepts":[{"id":"https://openalex.org/C2777183706","wikidata":"https://www.wikidata.org/wiki/Q630771","display_name":"Subvariety","level":3,"score":0.9463018178939819},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.8768107891082764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7416924834251404},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5249164700508118},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5204582214355469},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4945771396160126},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4813578724861145},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4460570812225342},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.15559059381484985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1202729344367981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10308894515037537},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-005-0941-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-005-0941-2","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","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":21,"referenced_works":["https://openalex.org/W92099274","https://openalex.org/W155997516","https://openalex.org/W575135045","https://openalex.org/W629265671","https://openalex.org/W651552944","https://openalex.org/W1490505438","https://openalex.org/W1504266994","https://openalex.org/W1523833688","https://openalex.org/W1566552629","https://openalex.org/W1573036064","https://openalex.org/W1599755535","https://openalex.org/W1985104705","https://openalex.org/W2012072427","https://openalex.org/W2025898504","https://openalex.org/W2043940886","https://openalex.org/W2047723833","https://openalex.org/W2050883727","https://openalex.org/W2319759053","https://openalex.org/W2325839429","https://openalex.org/W2401426201","https://openalex.org/W4211185072"],"related_works":["https://openalex.org/W2905422041","https://openalex.org/W2994520081","https://openalex.org/W2312057775","https://openalex.org/W4382985054","https://openalex.org/W3139783127","https://openalex.org/W2244411247","https://openalex.org/W1971198748","https://openalex.org/W4286800211","https://openalex.org/W231028169","https://openalex.org/W2952649666"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}