{"id":"https://openalex.org/W1966784778","doi":"https://doi.org/10.2178/jsl/1190150033","title":"An algebraic approach to categories of partial morphisms","display_name":"An algebraic approach to categories of partial morphisms","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W1966784778","doi":"https://doi.org/10.2178/jsl/1190150033","mag":"1966784778"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1190150033","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1190150033","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","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/A5014271577","display_name":"Shellin Stefani","orcid":null},"institutions":[{"id":"https://openalex.org/I11986463","display_name":"Universit\u00e0 Iuav di Venezia","ror":"https://ror.org/01e6ksd91","country_code":"IT","type":"education","lineage":["https://openalex.org/I11986463"]},{"id":"https://openalex.org/I4210160742","display_name":"Ospedale Civile di Venezia","ror":"https://ror.org/05drpm847","country_code":"IT","type":"healthcare","lineage":["https://openalex.org/I4210160742"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"S. T. Stefani","raw_affiliation_strings":["Facolt\u00e0 Di Scienze M. F. N., Universit\u00e0 Di Venezia, Venezia, Italy, E-mail:","Universit\u00e0 Di Venezia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facolt\u00e0 Di Scienze M. F. N., Universit\u00e0 Di Venezia, Venezia, Italy, E-mail:","institution_ids":["https://openalex.org/I11986463","https://openalex.org/I4210160742"]},{"raw_affiliation_string":"Universit\u00e0 Di Venezia","institution_ids":["https://openalex.org/I11986463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014271577"],"corresponding_institution_ids":["https://openalex.org/I11986463","https://openalex.org/I4210160742"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.391,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60060315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"1","first_page":"117","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980000257492065,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980000257492065,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.996999979019165,"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":0.9871000051498413,"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/morphism","display_name":"Morphism","score":0.9638453125953674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6857718825340271},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6292730569839478},{"id":"https://openalex.org/keywords/partial-function","display_name":"Partial function","score":0.6247235536575317},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5475361347198486},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5436557531356812},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4859687089920044},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4755016267299652},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.4588504433631897},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4458070695400238},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4365242123603821},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24721476435661316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2394334077835083},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08847618103027344},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.059089332818984985}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.9638453125953674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6857718825340271},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6292730569839478},{"id":"https://openalex.org/C182359184","wikidata":"https://www.wikidata.org/wiki/Q1756942","display_name":"Partial function","level":2,"score":0.6247235536575317},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5475361347198486},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5436557531356812},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4859687089920044},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4755016267299652},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4588504433631897},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4458070695400238},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4365242123603821},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24721476435661316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2394334077835083},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08847618103027344},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.059089332818984985},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1190150033","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1190150033","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1190150033","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1190150033","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W83139932","https://openalex.org/W1632836577","https://openalex.org/W2010003102","https://openalex.org/W2033751758","https://openalex.org/W2086636341","https://openalex.org/W2160625512"],"related_works":["https://openalex.org/W1520530519","https://openalex.org/W2025635372","https://openalex.org/W1966784778","https://openalex.org/W2225376631","https://openalex.org/W1529494625","https://openalex.org/W2131767845","https://openalex.org/W2351578128","https://openalex.org/W2342017063","https://openalex.org/W4301466310","https://openalex.org/W2950460772"],"abstract_inverted_index":{"Abstract":[0],"In":[1,25],"the":[2,17,54,81,87,96,109,113],"study":[3],"of":[4,14,19,45,69,83,89,98,108,112],"categories":[5],"whose":[6],"morphisms":[7,32,40,114],"display":[8],"a":[9,66],"behaviour":[10],"similar":[11],"to":[12,39,52,61,94,104],"that":[13],"partial":[15,46],"functions,":[16],"concept":[18],"morphism":[20,55],"domain":[21],"is,":[22],"obviously,":[23],"central.":[24],"this":[26,99],"paper":[27],"an":[28,62],"operation":[29,49],"defined":[30,64],"on":[31],"describes":[33],"those":[34],"properties":[35],"which":[36],"are":[37,75],"related":[38],"being":[41],"regarded":[42],"as":[43],"abstractions":[44],"functions.":[47],"This":[48],"allows":[50],"us":[51],"characterise":[53],"domains":[56],"directly,":[57],"and":[58],"gives":[59],"rise":[60],"algebra":[63],"by":[65],"simple":[67],"set":[68],"identities.":[70],"No":[71],"product-like":[72],"categorical":[73],"structures":[74],"needed":[76],"therefore.":[77],"We":[78],"also":[79],"develop":[80],"construction":[82],"topologies":[84],"together":[85],"with":[86],"notion":[88],"continuous":[90],"morphism,":[91],"in":[92],"order":[93],"test":[95],"effectiveness":[97],"approach.":[100],"It":[101],"is":[102,115],"interesting":[103],"see":[105],"how":[106],"much":[107],"computational":[110],"character":[111],"translated":[116],"into":[117],"continuity.":[118]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
