{"id":"https://openalex.org/W1998668837","doi":"https://doi.org/10.1002/malq.19920380133","title":"REDUCIBILITY IN SOME CATEGORIES OF PARTIAL RECURSIVE OPERATORS","display_name":"REDUCIBILITY IN SOME CATEGORIES OF PARTIAL RECURSIVE OPERATORS","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W1998668837","doi":"https://doi.org/10.1002/malq.19920380133","mag":"1998668837"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19920380133","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380133","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/A5027571574","display_name":"Caterina Bianchini","orcid":null},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Caterina Bianchini","raw_affiliation_strings":["Dipartimento di Matematica Via del Capitano 15 53100 Siena Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Via del Capitano 15 53100 Siena Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068865870","display_name":"Andrea Sorbi","orcid":"https://orcid.org/0000-0001-9288-3290"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Sorbi","raw_affiliation_strings":["Dipartimento di Matematica Via del Capitano 15 53100 Siena Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Via del Capitano 15 53100 Siena Italy","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12130937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"1","first_page":"349","last_page":"359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9979000091552734,"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":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.8504972457885742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8381906747817993},{"id":"https://openalex.org/keywords/partial-function","display_name":"Partial function","score":0.7464531660079956},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.6949819326400757},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5997097492218018},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4812278747558594},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.4566676914691925},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4484366476535797},{"id":"https://openalex.org/keywords/\u03bc-operator","display_name":"\u03bc operator","score":0.43143796920776367},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4153251349925995},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3999141752719879},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3743385076522827},{"id":"https://openalex.org/keywords/recursive-functions","display_name":"Recursive functions","score":0.34946209192276},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14777782559394836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11840391159057617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.055179744958877563},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05363553762435913},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05025020241737366}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.8504972457885742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8381906747817993},{"id":"https://openalex.org/C182359184","wikidata":"https://www.wikidata.org/wiki/Q1756942","display_name":"Partial function","level":2,"score":0.7464531660079956},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.6949819326400757},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5997097492218018},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4812278747558594},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.4566676914691925},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4484366476535797},{"id":"https://openalex.org/C85955891","wikidata":"https://www.wikidata.org/wiki/Q307772","display_name":"\u03bc operator","level":3,"score":0.43143796920776367},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4153251349925995},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3999141752719879},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3743385076522827},{"id":"https://openalex.org/C2982939207","wikidata":"https://www.wikidata.org/wiki/Q1175101","display_name":"Recursive functions","level":2,"score":0.34946209192276},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14777782559394836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11840391159057617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.055179744958877563},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05363553762435913},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05025020241737366}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.19920380133","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380133","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"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1082757","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/1082757","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1009685248","https://openalex.org/W2064269870","https://openalex.org/W2120713972","https://openalex.org/W2160625512","https://openalex.org/W2530006810","https://openalex.org/W4239158956"],"related_works":["https://openalex.org/W2065676782","https://openalex.org/W2191957727","https://openalex.org/W955824272","https://openalex.org/W1934005735","https://openalex.org/W1802255488","https://openalex.org/W2897159003","https://openalex.org/W2268847858","https://openalex.org/W1986019457","https://openalex.org/W2071312301","https://openalex.org/W2002433529"],"abstract_inverted_index":{"Abstract":[0],"We":[1,45],"consider":[2],"two":[3],"categories":[4,49,52],"with":[5],"one":[6,16,34],"object,":[7],"namely":[8],"the":[9,19,26,29,42,56,59,74,82],"set":[10,20],"of":[11,15,21,69,77],"all":[12],"partial":[13,30,39],"functions":[14],"variable":[17],"from":[18],"natural":[22],"numbers":[23],"into":[24],"itself;":[25],"morphisms":[27,76],"are":[28,50,64],"recursive":[31,84],"operators":[32],"in":[33,41],"case,":[35],"and":[36,53,58],"certain":[37],"continuous":[38],"mappings":[40],"other":[43],"case.":[44],"show":[46],"that":[47],"these":[48,78],"recursion":[51],"we":[54],"characterize":[55],"domains":[57],"complete":[60],"domains.":[61],"Some":[62],"observations":[63],"made":[65],"on":[66],"a":[67],"notion":[68],"reducibility":[70],"obtained":[71],"by":[72],"using":[73],"total":[75],"categories,":[79],"and,":[80],"subsequently,":[81],"general":[83],"operators.":[85]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}
