{"id":"https://openalex.org/W7204902579","doi":"https://doi.org/10.48550/arxiv.2608.29584","title":"Auslander-Reiten-Serre duality revisited","display_name":"Auslander-Reiten-Serre duality revisited","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204902579","doi":"https://doi.org/10.48550/arxiv.2608.29584"},"language":null,"primary_location":{"id":"pmh:oai:arXiv.org:2608.29584","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29584","pdf_url":"https://arxiv.org/pdf/2608.29584","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,"listed_in":[],"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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.29584","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102334303","display_name":"Ji-Wei He","orcid":"https://orcid.org/0000-0003-0297-5613","observed_orcids":["https://orcid.org/0000-0003-0297-5613"]},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"He, Ji-Wei","raw_affiliation_strings":[". , School of Mathematics , Hangzhou Normal University , Hangzhou Zhejiang 311121 , PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":". , School of Mathematics , Hangzhou Normal University , Hangzhou Zhejiang 311121 , PR China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100658335","display_name":"Jixing Pan","orcid":"https://orcid.org/0000-0003-2314-6005","observed_orcids":["https://orcid.org/0000-0003-2314-6005"]},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pan, Jixing","raw_affiliation_strings":[". , School of Mathematics , Hangzhou Normal University , Hangzhou Zhejiang 311121 , PR China","School of Mathematics , Nanjing University , Nanjing Jiangsu 210093 , PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":". , School of Mathematics , Hangzhou Normal University , Hangzhou Zhejiang 311121 , PR China","institution_ids":["https://openalex.org/I163151501"]},{"raw_affiliation_string":"School of Mathematics , Nanjing University , Nanjing Jiangsu 210093 , PR China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9980000257492065,"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":0.9980000257492065,"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":0.00019999999494757503,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extriangulated-categories","display_name":"extriangulated categories","score":0.9980000257492065},{"id":"https://openalex.org/keywords/exact-functors","display_name":"exact functors","score":0.8880000114440918},{"id":"https://openalex.org/keywords/auslander-reiten-theory","display_name":"Auslander-Reiten theory","score":0.5870000123977661},{"id":"https://openalex.org/keywords/serre-duality","display_name":"Serre duality","score":0.7570000290870667}],"concepts":[{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.819100022315979},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7512000203132629},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7422999739646912},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6186000108718872},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47769999504089355},{"id":"https://openalex.org/C155996607","wikidata":"https://www.wikidata.org/wiki/Q381725","display_name":"Exact functor","level":3,"score":0.35409998893737793},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.30889999866485596},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29739999771118164},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.29649999737739563},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2612999975681305}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29584","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29584","pdf_url":"https://arxiv.org/pdf/2608.29584","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,"listed_in":[],"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":"doi:10.48550/arxiv.2608.29584","doi":"https://doi.org/10.48550/arxiv.2608.29584","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29584","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,"listed_in":[],"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":"pmh:oai:arXiv.org:2608.29584","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29584","pdf_url":"https://arxiv.org/pdf/2608.29584","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,"listed_in":[],"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"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.4136146605014801,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G5653000892","display_name":null,"funder_award_id":"12371017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204902579.pdf","grobid_xml":"https://content.openalex.org/works/W7204902579.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Let":[0],"$(\\mathcal{C},\\mathbb{E},\\mathfrak{s})$":[1],"be":[2],"an":[3,49],"extriangulated":[4,53],"category":[5],"with":[6],"a":[7,74,81],"right":[8,29],"Auslander-Reiten-Serre":[9],"(ARS":[10],"for":[11],"short)":[12],"duality":[13],"$(\u03c4,":[14,26],"\u03b7)$":[15,27],"in":[16],"the":[17,33,44],"sense":[18],"of":[19,36],"Iyama,":[20],"Nakaoka":[21],"and":[22,55,65],"Palu.":[23],"We":[24],"show":[25,42],"induces":[28],"ARS":[30],"dualities":[31],"on":[32,67],"relative":[34,39],"theories":[35],"$(\\mathcal{C},\\mathbb{E},\\mathfrak{s})$.":[37],"Under":[38],"structures,":[40],"we":[41,61,72],"that":[43],"functor":[45,51],"$\u03c4$":[46],"is":[47],"indeed":[48],"exact":[50],"between":[52],"categories":[54],"preserves":[56],"almost":[57],"split":[58],"exangles.":[59],"Finally,":[60],"give":[62],"some":[63],"applications":[64],"examples":[66],"these":[68],"results.":[69],"For":[70],"instance,":[71],"generalize":[73],"recent":[75],"result":[76],"by":[77],"A.":[78],"Hubery":[79],"to":[80],"categorical":[82],"framework.":[83]},"counts_by_year":[],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2026-09-02T00:00:00"}
