{"id":"https://openalex.org/W4401011724","doi":"https://doi.org/10.1007/s10485-024-09780-1","title":"Locally Coherent Exact Categories","display_name":"Locally Coherent Exact Categories","publication_year":2024,"publication_date":"2024-07-26","ids":{"openalex":"https://openalex.org/W4401011724","doi":"https://doi.org/10.1007/s10485-024-09780-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-024-09780-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-024-09780-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-024-09780-1.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/s10485-024-09780-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049263004","display_name":"Leonid Positselski","orcid":"https://orcid.org/0000-0001-8836-3911"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Leonid Positselski","raw_affiliation_strings":["Institute of Mathematics, Czech Academy of Sciences, \u017ditn\u00e1\u00a025, 115 67, Praha 1, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0001-8836-3911","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Czech Academy of Sciences, \u017ditn\u00e1\u00a025, 115 67, Praha 1, Czech Republic","institution_ids":["https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049263004"],"corresponding_institution_ids":["https://openalex.org/I4210120266"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":2.8614,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.90260207,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"32","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9980000257492065,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9916999936103821,"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/mathematics","display_name":"Mathematics","score":0.8672757148742676},{"id":"https://openalex.org/keywords/abelian-category","display_name":"Abelian category","score":0.6302465200424194},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5543788075447083},{"id":"https://openalex.org/keywords/coherent-sheaf","display_name":"Coherent sheaf","score":0.5022854804992676},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49014052748680115},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.4900013506412506},{"id":"https://openalex.org/keywords/cartesian-closed-category","display_name":"Cartesian closed category","score":0.4465119242668152},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.43728581070899963},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4275197386741638},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42321521043777466},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.2709275782108307},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15276867151260376},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09924283623695374}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8672757148742676},{"id":"https://openalex.org/C186921422","wikidata":"https://www.wikidata.org/wiki/Q318737","display_name":"Abelian category","level":3,"score":0.6302465200424194},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5543788075447083},{"id":"https://openalex.org/C143161588","wikidata":"https://www.wikidata.org/wiki/Q906907","display_name":"Coherent sheaf","level":2,"score":0.5022854804992676},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49014052748680115},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.4900013506412506},{"id":"https://openalex.org/C171032842","wikidata":"https://www.wikidata.org/wiki/Q1725874","display_name":"Cartesian closed category","level":2,"score":0.4465119242668152},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.43728581070899963},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4275197386741638},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42321521043777466},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.2709275782108307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15276867151260376},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09924283623695374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-024-09780-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-024-09780-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-024-09780-1.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"}],"best_oa_location":{"id":"doi:10.1007/s10485-024-09780-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-024-09780-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-024-09780-1.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":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G713602064","display_name":null,"funder_award_id":"23-05148S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G8746491555","display_name":null,"funder_award_id":"RVO 67985840","funder_id":"https://openalex.org/F4320322482","funder_display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320322482","display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky","ror":"https://ror.org/053avzc18"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4401011724.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W93014080","https://openalex.org/W179009218","https://openalex.org/W856751155","https://openalex.org/W1492039332","https://openalex.org/W2002716510","https://openalex.org/W2009857933","https://openalex.org/W2010523057","https://openalex.org/W2069159507","https://openalex.org/W2105704227","https://openalex.org/W2139189614","https://openalex.org/W2162821231","https://openalex.org/W2209639179","https://openalex.org/W2275998874","https://openalex.org/W2608388593","https://openalex.org/W2799045271","https://openalex.org/W2964009733","https://openalex.org/W2964238187","https://openalex.org/W2965452349","https://openalex.org/W3036064249","https://openalex.org/W3122390088","https://openalex.org/W3123445303","https://openalex.org/W4213214060","https://openalex.org/W4236162380","https://openalex.org/W4244956394","https://openalex.org/W4253459610","https://openalex.org/W4360985479","https://openalex.org/W4385566563"],"related_works":["https://openalex.org/W3099915722","https://openalex.org/W2593572497","https://openalex.org/W1965418112","https://openalex.org/W1705513233","https://openalex.org/W1580900805","https://openalex.org/W4299992139","https://openalex.org/W2949551655","https://openalex.org/W1633580360","https://openalex.org/W4300196700","https://openalex.org/W1969636878"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"locally":[2,53,76,82,117],"coherent":[3,54,77,83,118],"exact":[4,15,22,31,41,55,78,84,104,119],"category":[5,11,48,59,67,79,105,109],"is":[6],"a":[7,44,52,102],"finitely":[8,34,65],"accessible":[9,66],"additive":[10,47,111],"endowed":[12],"with":[13,115],"an":[14],"structure":[16,42,56,120],"in":[17,62,90,113],"which":[18],"the":[19,25,58,69,73,91,98,107,116,122],"admissible":[20,29],"short":[21,30],"sequences":[23,32],"are":[24,86],"directed":[26],"colimits":[27],"of":[28,33,60,87,93,101,110],"presentable":[35],"objects.":[36],"We":[37,95],"show":[38],"that":[39],"any":[40,64],"on":[43,57,121],"small":[45,103],"idempotent-complete":[46],"extends":[49],"uniquely":[50],"to":[51],"ind-objects;":[61],"particular,":[63],"has":[68],"unique":[70,74],"maximal":[71],"and":[72,124],"minimal":[75],"structures.":[80],"All":[81],"categories":[85],"Grothendieck":[88],"type":[89],"sense":[92],"\u0160t\u2019ov\u00ed\u010dek.":[94],"also":[96],"discuss":[97],"canonical":[99],"embedding":[100],"into":[106],"abelian":[108],"sheaves":[112],"connection":[114],"ind-objects,":[123],"deduce":[125],"two":[126],"periodicity":[127],"theorems":[128],"as":[129],"applications.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
