{"id":"https://openalex.org/W4386436414","doi":"https://doi.org/10.1007/s10485-025-09823-1","title":"Derived Projective Covers and Koszul Duality of Simple-Minded and Silting Collections","display_name":"Derived Projective Covers and Koszul Duality of Simple-Minded and Silting Collections","publication_year":2026,"publication_date":"2026-02-01","ids":{"openalex":"https://openalex.org/W4386436414","doi":"https://doi.org/10.1007/s10485-025-09823-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-025-09823-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-025-09823-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-025-09823-1.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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10485-025-09823-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092345185","display_name":"Lukas Bonfert","orcid":"https://orcid.org/0009-0007-3288-1876"},"institutions":[{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lukas Bonfert","raw_affiliation_strings":["Max Planck Institute for Mathematics, Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics, Bonn, Germany","institution_ids":["https://openalex.org/I4210119712"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5092345185"],"corresponding_institution_ids":["https://openalex.org/I4210119712"],"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":0.02931564,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"2","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":0.9955999851226807,"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":0.9955999851226807,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9940000176429749,"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"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9848999977111816,"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/siltation","display_name":"Siltation","score":0.8441474437713623},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.8367488980293274},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.8304945230484009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5995867848396301},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5647312998771667},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5230739712715149},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47387978434562683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28032827377319336},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1138838529586792},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09372061491012573},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.08155369758605957},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.056557416915893555}],"concepts":[{"id":"https://openalex.org/C206700591","wikidata":"https://www.wikidata.org/wiki/Q1408124","display_name":"Siltation","level":3,"score":0.8441474437713623},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.8367488980293274},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.8304945230484009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5995867848396301},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5647312998771667},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5230739712715149},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47387978434562683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28032827377319336},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1138838529586792},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09372061491012573},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.08155369758605957},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.056557416915893555},{"id":"https://openalex.org/C2816523","wikidata":"https://www.wikidata.org/wiki/Q180184","display_name":"Sediment","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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":5,"locations":[{"id":"doi:10.1007/s10485-025-09823-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-025-09823-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-025-09823-1.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"},{"id":"pmh:oai:arXiv.org:2309.00554","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.00554","pdf_url":"https://arxiv.org/pdf/2309.00554","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"pmh:doi:10.48550/arxiv.2309.00554","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_3606771","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-000F-C3F0-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Categorical Structures","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2309.00554","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2309.00554","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s10485-025-09823-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-025-09823-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-025-09823-1.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":[],"awards":[{"id":"https://openalex.org/G1521016025","display_name":"EXC 2047: Hausdorff Center for Mathematics (HCM)","funder_award_id":"390685813","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4274133347","display_name":null,"funder_award_id":"390685813","funder_id":"https://openalex.org/F4320328568","funder_display_name":"Hausdorff Center for Mathematics"},{"id":"https://openalex.org/G5127146920","display_name":null,"funder_award_id":"EXC-2047/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320327553","display_name":"International Max Planck Research School for Advanced Methods in Process and Systems Engineering","ror":null},{"id":"https://openalex.org/F4320328568","display_name":"Hausdorff Center for Mathematics","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386436414.pdf","grobid_xml":"https://content.openalex.org/works/W4386436414.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W3203394525","https://openalex.org/W2149451446","https://openalex.org/W2949415233","https://openalex.org/W1990447830","https://openalex.org/W1519011338","https://openalex.org/W1999716734","https://openalex.org/W1656629316","https://openalex.org/W2139164341","https://openalex.org/W1607942657","https://openalex.org/W3129169742","https://openalex.org/W3014883623","https://openalex.org/W4206392790","https://openalex.org/W3174245542","https://openalex.org/W4205950543","https://openalex.org/W2241115659","https://openalex.org/W2963298699","https://openalex.org/W1678462833","https://openalex.org/W1805832617","https://openalex.org/W2078299949","https://openalex.org/W2963755247","https://openalex.org/W2047355847","https://openalex.org/W2962727514","https://openalex.org/W4287183720"],"related_works":["https://openalex.org/W2361948336","https://openalex.org/W2006966654","https://openalex.org/W2799071713","https://openalex.org/W2393792793","https://openalex.org/W2907605914","https://openalex.org/W3135351487","https://openalex.org/W2724881823","https://openalex.org/W2359297184","https://openalex.org/W2362167785","https://openalex.org/W2087913547"],"abstract_inverted_index":{"Abstract":[0],"We":[1,33],"introduce":[2],"derived":[3,17,26],"projective":[4,27],"covers":[5,28],"and":[6,42],"explain":[7],"how":[8],"they":[9],"are":[10],"related":[11],"to":[12],"the":[13],"notion":[14],"of":[15],"enough":[16],"projectives.":[18],"This":[19],"provides":[20],"an":[21],"if-and-only-if":[22],"criterion":[23],"for":[24,40],"when":[25],"form":[29],"a":[30,36],"silting":[31,41],"collection.":[32],"prove":[34],"moreover":[35],"Koszul":[37],"duality":[38],"result":[39],"simple-minded":[43],"collections.":[44]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2023-09-05T00:00:00"}
