{"id":"https://openalex.org/W7140030122","doi":"https://doi.org/10.1007/s10485-026-09856-0","title":"Approximable Triangulated Categories and Reflexive DG-categories","display_name":"Approximable Triangulated Categories and Reflexive DG-categories","publication_year":2026,"publication_date":"2026-03-22","ids":{"openalex":"https://openalex.org/W7140030122","doi":"https://doi.org/10.1007/s10485-026-09856-0"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-026-09856-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-026-09856-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-026-09856-0.pdf","source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","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/s10485-026-09856-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093013886","display_name":"Isambard Goodbody","orcid":null},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Isambard Goodbody","raw_affiliation_strings":["School of Mathematics and Statistics, University of Glasgow, University Place, Glasgow, G12 8QQ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Glasgow, University Place, Glasgow, G12 8QQ, UK","institution_ids":["https://openalex.org/I7882870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5093013886"],"corresponding_institution_ids":["https://openalex.org/I7882870"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.48184184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.7287999987602234,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.7287999987602234,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.11760000139474869,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.02879999950528145,"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/reflexivity","display_name":"Reflexivity","score":0.7991999983787537},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5658000111579895},{"id":"https://openalex.org/keywords/triangulated-category","display_name":"Triangulated category","score":0.4487000107765198},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3720000088214874},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.2531999945640564}],"concepts":[{"id":"https://openalex.org/C13200473","wikidata":"https://www.wikidata.org/wiki/Q2747831","display_name":"Reflexivity","level":2,"score":0.7991999983787537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6704999804496765},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5658000111579895},{"id":"https://openalex.org/C2780212368","wikidata":"https://www.wikidata.org/wiki/Q7840150","display_name":"Triangulated category","level":4,"score":0.4487000107765198},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.41510000824928284},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3720000088214874},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3666999936103821},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.273499995470047},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2531999945640564},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10485-026-09856-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-026-09856-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-026-09856-0.pdf","source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"},{"id":"pmh:oai:eprints.gla.ac.uk:382069","is_oa":true,"landing_page_url":"https://eprints.gla.ac.uk/view/author/63780.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Articles"}],"best_oa_location":{"id":"doi:10.1007/s10485-026-09856-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-026-09856-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-026-09856-0.pdf","source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5386773347854614,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309928","display_name":"Aarhus Universitet","ror":"https://ror.org/01aj84f44"},{"id":"https://openalex.org/F4320320173","display_name":"Carnegie Dunfermline Trust","ror":"https://ror.org/059rs3f80"},{"id":"https://openalex.org/F4320320174","display_name":"Carnegie Trust for the Universities of Scotland","ror":"https://ror.org/00dfrzy25"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7140030122.pdf","grobid_xml":"https://content.openalex.org/works/W7140030122.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1931984873","https://openalex.org/W2035987296","https://openalex.org/W2098015562","https://openalex.org/W2167791892","https://openalex.org/W2956292229","https://openalex.org/W3004482671","https://openalex.org/W3158554167","https://openalex.org/W3194896759","https://openalex.org/W4213424362","https://openalex.org/W4406172359"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,46,62],"use":[2],"the":[3,21,35],"theory":[4],"of":[5,23,34,37],"approximable":[6,39],"triangulated":[7,40],"categories":[8],"to":[9,17,50],"give":[10],"a":[11,14,43],"condition":[12],"for":[13],"proper":[15,51,53,60,72],"DG-category":[16],"be":[18],"reflexive":[19],"in":[20],"sense":[22],"Kuznetsov":[24],"and":[25,56,68],"Shinder.":[26],"To":[27],"do":[28],"this":[29],"we":[30],"provide":[31],"another":[32],"description":[33],"completion":[36],"an":[38,64],"category":[41],"under":[42],"properness":[44],"assumption.":[45],"apply":[47],"our":[48],"results":[49],"schemes,":[52],"connective":[54,73],"DG-algebras":[55,74],"Azumaya":[57],"algebras":[58],"over":[59,79],"schemes.":[61],"include":[63],"appendix":[65],"by":[66],"Raedschelders":[67],"Stevenson":[69],"showing":[70],"that":[71],"admit":[75],"finite":[76],"dimensional":[77],"models":[78],"any":[80],"field.":[81]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-03-23T00:00:00"}