{"id":"https://openalex.org/W4385775071","doi":"https://doi.org/10.1016/j.jpaa.2026.108370","title":"Extriangulated ideal quotients, with applications to cluster theory and gentle algebras","display_name":"Extriangulated ideal quotients, with applications to cluster theory and gentle algebras","publication_year":2026,"publication_date":"2026-08-06","ids":{"openalex":"https://openalex.org/W4385775071","doi":"https://doi.org/10.1016/j.jpaa.2026.108370"},"language":"en","primary_location":{"id":"doi:10.1016/j.jpaa.2026.108370","doi":"https://doi.org/10.1016/j.jpaa.2026.108370","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jpaa.2026.108370","pdf_url":null,"source":{"id":"https://openalex.org/S4805881","display_name":"Journal of Pure and Applied Algebra","issn_l":"0022-4049","issn":["0022-4049","1873-1376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Pure and Applied Algebra","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jpaa.2026.108370","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044353292","display_name":"Xin Fang","orcid":"https://orcid.org/0000-0002-0056-7969","observed_orcids":["https://orcid.org/0000-0002-0056-7969"]},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Xin Fang","raw_affiliation_strings":["Lehrstuhl f\u00fcr Algebra und Darstellungstheorie, RWTH Aachen University, Pontdriesch 10\u201316, 52062 Aachen, Germany","RWTH Aachen - RWTH Aachen University = Rheinisch-Westf\u00e4lische Technische Hochschule Aachen (RWTH Aachen \u2013  Templergraben 55 \u2013 52062 Aachen (Hausanschrift) \u2013 52056 Aachen (Postanschrift) \u2013 Deutschland - Germany)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Algebra und Darstellungstheorie, RWTH Aachen University, Pontdriesch 10\u201316, 52062 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH Aachen - RWTH Aachen University = Rheinisch-Westf\u00e4lische Technische Hochschule Aachen (RWTH Aachen \u2013  Templergraben 55 \u2013 52062 Aachen (Hausanschrift) \u2013 52056 Aachen (Postanschrift) \u2013 Deutschland - Germany)","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049743105","display_name":"Mikhail Gorsky","orcid":"https://orcid.org/0000-0003-0547-3571","observed_orcids":["https://orcid.org/0000-0003-0547-3571"]},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Mikhail Gorsky","raw_affiliation_strings":["Department of Mathematics, University of Vienna, Oscar-Morgenstern Platz 1, 1090 Vienna, Austria","Department of Mathematics, University of Vienna (Department of Mathematics, University Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria - Austria)"],"raw_orcid":"https://orcid.org/0000-0003-0547-3571","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Vienna, Oscar-Morgenstern Platz 1, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Department of Mathematics, University of Vienna (Department of Mathematics, University Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria - Austria)","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006674002","display_name":"Yann Palu","orcid":"https://orcid.org/0009-0008-1761-593X","observed_orcids":["https://orcid.org/0009-0008-1761-593X"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210163673","display_name":"Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e","ror":"https://ror.org/04smxbm79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210163673","https://openalex.org/I4647051"]},{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Yann Palu","raw_affiliation_strings":["LAMFA, Universit\u00e9 Picardie Jules Verne, 33 Rue Saint-Leu, 80039 Amiens, France","LAMFA - Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e - UMR CNRS 7352 UPJV (Universit\u00e9 de Picardie Jules Verne - 33 Rue Saint-Leu - 80039 AMIENS CEDEX 1 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMFA, Universit\u00e9 Picardie Jules Verne, 33 Rue Saint-Leu, 80039 Amiens, France","institution_ids":["https://openalex.org/I4210163673","https://openalex.org/I4647051"]},{"raw_affiliation_string":"LAMFA - Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e - UMR CNRS 7352 UPJV (Universit\u00e9 de Picardie Jules Verne - 33 Rue Saint-Leu - 80039 AMIENS CEDEX 1 - France)","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210163673","https://openalex.org/I4647051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112597465","display_name":"Pierre\u2010Guy Plamondon","orcid":"https://orcid.org/0000-0001-5199-9000","observed_orcids":["https://orcid.org/0000-0001-5199-9000"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I195731000","display_name":"Universit\u00e9 de Versailles Saint-Quentin-en-Yvelines","ror":"https://ror.org/03mkjjy25","country_code":"FR","type":"education","lineage":["https://openalex.org/I195731000","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4387152735","display_name":"Laboratoire de Math\u00e9matiques de Versailles","ror":"https://ror.org/04k5jw363","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4387152735"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre-Guy Plamondon","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de Versailles, UVSQ, CNRS, Universit\u00e9 Paris-Saclay, 45 Avenue des \u00c9tats Unis, 78000 Versailles, France","LMV - Laboratoire de Math\u00e9matiques de Versailles (B\u00e2timent Fermat  - UFR de sciences \r\n45 avenue des Etats-Unis\r\n78035 VERSAILLES - France)"],"raw_orcid":"https://orcid.org/0000-0001-5199-9000","affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Versailles, UVSQ, CNRS, Universit\u00e9 Paris-Saclay, 45 Avenue des \u00c9tats Unis, 78000 Versailles, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4387152735"]},{"raw_affiliation_string":"LMV - Laboratoire de Math\u00e9matiques de Versailles (B\u00e2timent Fermat  - UFR de sciences \r\n45 avenue des Etats-Unis\r\n78035 VERSAILLES - France)","institution_ids":["https://openalex.org/I4387152735"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010203994","display_name":"Matthew Pressland","orcid":"https://orcid.org/0000-0002-9631-3583","observed_orcids":["https://orcid.org/0000-0002-9631-3583"]},"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":"Matthew Pressland","raw_affiliation_strings":["School of Mathematics & Statistics, University of Glasgow, University Place, Glasgow, G12 8QQ, United Kingdom","School of Mathematics & Statistics, University of Glasgow (United Kingdom)"],"raw_orcid":"https://orcid.org/0000-0002-9631-3583","affiliations":[{"raw_affiliation_string":"School of Mathematics & Statistics, University of Glasgow, University Place, Glasgow, G12 8QQ, United Kingdom","institution_ids":["https://openalex.org/I7882870"]},{"raw_affiliation_string":"School of Mathematics & Statistics, University of Glasgow (United Kingdom)","institution_ids":["https://openalex.org/I7882870"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5006674002","https://openalex.org/A5010203994","https://openalex.org/A5044353292","https://openalex.org/A5049743105","https://openalex.org/A5112597465"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I129774422","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4210163673","https://openalex.org/I4387152735","https://openalex.org/I4647051","https://openalex.org/I7882870","https://openalex.org/I887968799"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":{"value":3550,"currency":"USD","value_usd":3550},"fwci":14.2837,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.9912481,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"230","issue":"11","first_page":"108370","last_page":"108370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9984999895095825,"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":0.9984999895095825,"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":0.00019999999494757503,"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":9.999999747378752e-05,"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/extriangulated-categories","display_name":"extriangulated categories","score":0.9890000224113464},{"id":"https://openalex.org/keywords/ideal-quotients","display_name":"ideal quotients","score":0.9929999709129333},{"id":"https://openalex.org/keywords/gentle-algebras","display_name":"gentle algebras","score":0.9330000281333923},{"id":"https://openalex.org/keywords/cluster-theory","display_name":"cluster theory","score":0.4659999907016754}],"concepts":[{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.8314502835273743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8095269203186035},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6604012250900269},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.6528022885322571},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6502935290336609},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.6261496543884277},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.45219171047210693},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34575778245925903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11011326313018799},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":6,"locations":[{"id":"doi:10.1016/j.jpaa.2026.108370","doi":"https://doi.org/10.1016/j.jpaa.2026.108370","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jpaa.2026.108370","pdf_url":null,"source":{"id":"https://openalex.org/S4805881","display_name":"Journal of Pure and Applied Algebra","issn_l":"0022-4049","issn":["0022-4049","1873-1376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Pure and Applied Algebra","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2308.05524","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2308.05524","pdf_url":"https://arxiv.org/pdf/2308.05524","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":"pmh:oai:eprints.gla.ac.uk:392691","doi":null,"is_oa":true,"landing_page_url":"https://eprints.gla.ac.uk/view/author/65228.html>","pdf_url":"https://eprints.gla.ac.uk/392691/1/392691.pdf","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,"listed_in":["doaj"],"host_organization":"https://openalex.org/I4405259220","host_organization_name":"Institut Agama Islam Negeri Langsa","host_organization_lineage":["https://openalex.org/I4405259220"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Articles"},{"id":"pmh:oai:HAL:hal-04539617v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-04539617","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2024","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-05714652v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-05714652v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Pure and Applied Algebra, 2026, pp.108370. ⟨10.1016/j.jpaa.2026.108370⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2308.05524","doi":"https://doi.org/10.48550/arxiv.2308.05524","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2308.05524","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.jpaa.2026.108370","doi":"https://doi.org/10.1016/j.jpaa.2026.108370","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jpaa.2026.108370","pdf_url":null,"source":{"id":"https://openalex.org/S4805881","display_name":"Journal of Pure and Applied Algebra","issn_l":"0022-4049","issn":["0022-4049","1873-1376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Pure and Applied Algebra","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2203179303","display_name":null,"funder_award_id":"R014604/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2547586751","display_name":"Dimer models with boundary","funder_award_id":"EP/T001771/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3010527862","display_name":null,"funder_award_id":"ANR\u201019","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3341554066","display_name":null,"funder_award_id":"EP/R014604/","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3659979002","display_name":null,"funder_award_id":"101001159","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G434337789","display_name":null,"funder_award_id":"HORIZON2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5450091064","display_name":"Isaac Newton Institute for Mathematical Sciences","funder_award_id":"EP/R014604/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8581391534","display_name":"Clusters, Homological Algebra, Representations and Mirror Symmetry","funder_award_id":"ANR-19-CE40-0017","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322893","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266"},{"id":"https://openalex.org/F4320328568","display_name":"Hausdorff Center for Mathematics","ror":"https://ror.org/032n1tr36"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385775071.pdf","grobid_xml":"https://content.openalex.org/works/W4385775071.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1132798072","https://openalex.org/W1513934167","https://openalex.org/W1571912059","https://openalex.org/W1674074241","https://openalex.org/W1795073780","https://openalex.org/W1855388742","https://openalex.org/W1997822738","https://openalex.org/W2002007176","https://openalex.org/W2009096819","https://openalex.org/W2025614293","https://openalex.org/W2033780289","https://openalex.org/W2058502187","https://openalex.org/W2096104833","https://openalex.org/W2099790592","https://openalex.org/W2124439252","https://openalex.org/W2149451446","https://openalex.org/W2302000644","https://openalex.org/W2631749789","https://openalex.org/W2738364938","https://openalex.org/W2801491042","https://openalex.org/W2962925571","https://openalex.org/W2963122082","https://openalex.org/W2963144924","https://openalex.org/W2963315573","https://openalex.org/W2963729036","https://openalex.org/W2997094580","https://openalex.org/W3009957157","https://openalex.org/W3041061745","https://openalex.org/W3098403360","https://openalex.org/W3112291530","https://openalex.org/W3194546214","https://openalex.org/W3214926015","https://openalex.org/W4200579419","https://openalex.org/W4287254645","https://openalex.org/W4292084423","https://openalex.org/W4294585876","https://openalex.org/W4294783301","https://openalex.org/W4297833793","https://openalex.org/W4307727234","https://openalex.org/W4313532457","https://openalex.org/W4327485915","https://openalex.org/W4362465697","https://openalex.org/W4366974775","https://openalex.org/W4380993209","https://openalex.org/W4382618515","https://openalex.org/W4384492739","https://openalex.org/W4385261468","https://openalex.org/W4385685977","https://openalex.org/W4399242186","https://openalex.org/W4401066993","https://openalex.org/W4408468264","https://openalex.org/W4410218355","https://openalex.org/W4417064402","https://openalex.org/W7103505885"],"related_works":["https://openalex.org/W7167826558","https://openalex.org/W3193133808","https://openalex.org/W1494369969","https://openalex.org/W7162571879","https://openalex.org/W2953866375","https://openalex.org/W2487915252","https://openalex.org/W4400310840","https://openalex.org/W2900649063","https://openalex.org/W4389138494","https://openalex.org/W4387113850"],"abstract_inverted_index":{"We":[0,23,54],"extend":[1],"results":[2,57],"of":[3,8,11,15,28,36,40,42,74,100,103],"Br\u00fcstle\u2013Yang":[4],"on":[5],"ideal":[6],"quotients":[7,41,94],"2-term":[9],"subcategories":[10],"perfect":[12],"derived":[13],"categories":[14,44,62,65,73,99],"non-positive":[16],"dg":[17],"algebras":[18],"to":[19,52,58,72,77,97],"a":[20,25,37],"relative":[21,68],"setting.":[22],"find":[24],"new":[26,38],"interpretation":[27],"such":[29],"quotients:":[30],"they":[31],"appear":[32],"as":[33],"prototypical":[34],"examples":[35],"construction":[39],"extriangulated":[43,69,85],"by":[45,48],"ideals":[46],"generated":[47],"morphisms":[49],"from":[50],"injectives":[51],"projectives.":[53],"apply":[55],"our":[56],"Frobenius":[59],"exact":[60],"cluster":[61],"and":[63,71,92],"Higgs":[64],"with":[66],"suitable":[67,106],"structures,":[70],"walks":[75],"related":[76],"gentle":[78],"algebras.":[79,108],"In":[80],"all":[81],"three":[82],"cases,":[83],"the":[84],"structures":[86],"are":[87,90,95],"well-behaved":[88],"(they":[89],"0-Auslander)":[91],"their":[93],"equivalent":[96],"homotopy":[98],"two-term":[101],"complexes":[102],"projectives":[104],"over":[105],"finite-dimensional":[107]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-08-12T00:00:00"}