{"id":"https://openalex.org/W7214027744","doi":"https://doi.org/10.48550/arxiv.2609.22371","title":"A non-spatial frame of smashing ideals","display_name":"A non-spatial frame of smashing ideals","publication_year":2026,"publication_date":"2026-09-17","ids":{"openalex":"https://openalex.org/W7214027744","doi":"https://doi.org/10.48550/arxiv.2609.22371"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.22371","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.22371","pdf_url":"https://arxiv.org/pdf/2609.22371","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","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.22371","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006192959","display_name":"Tobias Barthel","orcid":"https://orcid.org/0000-0001-9023-8511","observed_orcids":["https://orcid.org/0000-0001-9023-8511"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Barthel, Tobias","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054942500","display_name":"Drew Heard","orcid":"https://orcid.org/0000-0002-0895-3354","observed_orcids":["https://orcid.org/0000-0002-0895-3354"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Heard, Drew","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":0.9086999893188477,"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":0.9086999893188477,"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":0.031199999153614044,"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":0.027000000700354576,"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/derived-categories","display_name":"derived categories","score":0.5649999976158142},{"id":"https://openalex.org/keywords/commutative-rings","display_name":"commutative rings","score":0.8529999852180481},{"id":"https://openalex.org/keywords/spatial-frames","display_name":"spatial frames","score":0.8600000143051147},{"id":"https://openalex.org/keywords/triangulated-categories","display_name":"triangulated categories","score":0.6190000176429749},{"id":"https://openalex.org/keywords/counterexample","display_name":"counterexample","score":0.4259999990463257}],"concepts":[{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.6288999915122986},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6245999932289124},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4052000045776367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3889000117778778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33719998598098755},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3262999951839447},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.2786000072956085},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.26420000195503235},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25270000100135803}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.22371","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.22371","pdf_url":"https://arxiv.org/pdf/2609.22371","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.2609.22371","doi":"https://doi.org/10.48550/arxiv.2609.22371","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.22371","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":"pmh:oai:arXiv.org:2609.22371","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.22371","pdf_url":"https://arxiv.org/pdf/2609.22371","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214027744.pdf","grobid_xml":"https://content.openalex.org/works/W7214027744.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W3203483521","https://openalex.org/W4399454956","https://openalex.org/W4402955331","https://openalex.org/W7126032787"],"related_works":["https://openalex.org/W4407837523","https://openalex.org/W7168573979","https://openalex.org/W4405031240","https://openalex.org/W4402955331","https://openalex.org/W2583666435","https://openalex.org/W2004819191","https://openalex.org/W2287769317","https://openalex.org/W2059967360","https://openalex.org/W2052131800","https://openalex.org/W2123839794"],"abstract_inverted_index":{"We":[0],"construct":[1],"commutative":[2],"rings":[3],"whose":[4],"derived":[5],"categories":[6],"have":[7],"non-spatial":[8],"frames":[9],"of":[10,19],"smashing":[11],"ideals,":[12],"thereby":[13],"answering":[14],"in":[15],"the":[16],"negative":[17],"questions":[18],"Balchin--Stevenson":[20],"and":[21],"Aoki.":[22]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-23T00:00:00"}
