{"id":"https://openalex.org/W7223208230","doi":"https://doi.org/10.48550/arxiv.2610.28657","title":"Ideal balanced pairs in n-exangulated categories","display_name":"Ideal balanced pairs in n-exangulated categories","publication_year":2026,"publication_date":"2026-10-09","ids":{"openalex":"https://openalex.org/W7223208230","doi":"https://doi.org/10.48550/arxiv.2610.28657"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.28657","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28657","pdf_url":"https://arxiv.org/pdf/2610.28657","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/2610.28657","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159291579","display_name":"Peiyu Zhang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Peiyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159259794","display_name":"Zhuolin Zheng","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zheng, Zhuolin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159271297","display_name":"Li Wang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5159275046","display_name":"Dajun Liu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Dajun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":0.9945999979972839,"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":0.9945999979972839,"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":0.0015999999595806003,"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":0.0003000000142492354,"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/cotorsion-theory","display_name":"cotorsion theory","score":0.5379999876022339}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8554999828338623},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.8144000172615051},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7491999864578247},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.6545000076293945},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.6305000185966492},{"id":"https://openalex.org/C45804927","wikidata":"https://www.wikidata.org/wiki/Q17098947","display_name":"Minimal ideal","level":4,"score":0.5110999941825867},{"id":"https://openalex.org/C124973616","wikidata":"https://www.wikidata.org/wiki/Q1199022","display_name":"Radical of an ideal","level":5,"score":0.5044000148773193},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48890000581741333},{"id":"https://openalex.org/C170320730","wikidata":"https://www.wikidata.org/wiki/Q1142699","display_name":"Primary ideal","level":5,"score":0.4632999897003174},{"id":"https://openalex.org/C78766492","wikidata":"https://www.wikidata.org/wiki/Q44382","display_name":"Principal ideal","level":3,"score":0.39640000462532043},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39399999380111694},{"id":"https://openalex.org/C118211362","wikidata":"https://www.wikidata.org/wiki/Q1203540","display_name":"Maximal ideal","level":3,"score":0.3517000079154968},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33000001311302185},{"id":"https://openalex.org/C2779467367","wikidata":"https://www.wikidata.org/wiki/Q863912","display_name":"Prime ideal","level":3,"score":0.32100000977516174},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C23573486","wikidata":"https://www.wikidata.org/wiki/Q1952929","display_name":"Ideal theory","level":4,"score":0.2800999879837036}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.28657","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28657","pdf_url":"https://arxiv.org/pdf/2610.28657","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.2610.28657","doi":"https://doi.org/10.48550/arxiv.2610.28657","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.28657","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.28657","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28657","pdf_url":"https://arxiv.org/pdf/2610.28657","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223208230.pdf","grobid_xml":"https://content.openalex.org/works/W7223208230.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4395462136","https://openalex.org/W3002168001","https://openalex.org/W7166684747","https://openalex.org/W4288724060","https://openalex.org/W1593557367","https://openalex.org/W4407690253","https://openalex.org/W2028273689","https://openalex.org/W2951938603","https://openalex.org/W3112035886","https://openalex.org/W4399356087"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,59],"devoted":[3],"to":[4,61],"ideal":[5,13,28,37,55],"approximation":[6],"theory":[7],"in":[8],"$n$-exangulated":[9],"categories.":[10],"We":[11,23,49],"define":[12],"balanced":[14,38,56],"pairs":[15],"and":[16,20,42,69],"explore":[17],"their":[18],"properties":[19],"equivalent":[21,60],"characterizations.":[22],"prove":[24],"that":[25,52],"any":[26],"complete":[27],"cotorsion":[29],"triple":[30],"$(\\mathcal{I},\\mathcal{K},\\mathcal{J})$":[31],"satisfying":[32],"suitable":[33],"assumptions":[34],"yields":[35],"an":[36,54,62],"pair":[39],"$(\\mathcal{I},":[40],"\\mathcal{J})$,":[41],"the":[43],"converse":[44],"holds":[45],"under":[46],"additional":[47],"hypotheses.":[48],"further":[50],"show":[51],"for":[53],"pair,":[57],"it":[58],"additive":[63],"subfunctor":[64],"with":[65],"enough":[66,70],"projective":[67],"morphisms":[68],"injective":[71],"morphisms.":[72]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-23T00:00:00"}
