{"id":"https://openalex.org/W4416618375","doi":"https://doi.org/10.1142/s0219498828500880","title":"Characterization of almost Gorenstein rings in terms of the trace ideal","display_name":"Characterization of almost Gorenstein rings in terms of the trace ideal","publication_year":2026,"publication_date":"2026-10-16","ids":{"openalex":"https://openalex.org/W4416618375","doi":"https://doi.org/10.1142/s0219498828500880"},"language":"en","primary_location":{"id":"doi:10.1142/s0219498828500880","doi":"https://doi.org/10.1142/s0219498828500880","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219498828500880","pdf_url":null,"source":{"id":"https://openalex.org/S158116049","display_name":"Journal of Algebra and Its Applications","issn_l":"0219-4988","issn":["0219-4988","1793-6829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algebra and Its Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2510.20170","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068953191","display_name":"Ryotaro Isobe","orcid":"https://orcid.org/0000-0002-4139-0610","observed_orcids":["https://orcid.org/0000-0002-4139-0610"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ryotaro Isobe","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068353355","display_name":"Shinya Kumashiro","orcid":"https://orcid.org/0000-0001-7577-7971","observed_orcids":["https://orcid.org/0000-0001-7577-7971"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shinya Kumashiro","raw_affiliation_strings":["https://orcid.org/0000-0001-7577-7971"],"raw_orcid":"https://orcid.org/0000-0001-7577-7971","affiliations":[{"raw_affiliation_string":"https://orcid.org/0000-0001-7577-7971","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06195878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9984999895095825,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.000699999975040555,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/almost-gorenstein-rings","display_name":"almost Gorenstein rings","score":1.0},{"id":"https://openalex.org/keywords/trace-ideals","display_name":"trace ideals","score":0.9929999709129333},{"id":"https://openalex.org/keywords/one-dimensional-rings","display_name":"one-dimensional rings","score":0.9440000057220459},{"id":"https://openalex.org/keywords/commutative-algebra","display_name":"commutative algebra","score":0.7020000219345093}],"concepts":[{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7918999791145325},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.722000002861023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7134000062942505},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6495000123977661},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6438000202178955},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5619000196456909},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.31060001254081726},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3070000112056732},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2590000033378601}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219498828500880","doi":"https://doi.org/10.1142/s0219498828500880","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219498828500880","pdf_url":null,"source":{"id":"https://openalex.org/S158116049","display_name":"Journal of Algebra and Its Applications","issn_l":"0219-4988","issn":["0219-4988","1793-6829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algebra and Its Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2510.20170","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.20170","pdf_url":"https://arxiv.org/pdf/2510.20170","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.2510.20170","doi":"https://doi.org/10.48550/arxiv.2510.20170","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.20170","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:2510.20170","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.20170","pdf_url":"https://arxiv.org/pdf/2510.20170","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"provide":[1],"a":[2],"characterization":[3],"of":[4,11,24],"one-dimensional":[5],"almost":[6,21],"Gorenstein":[7,22],"rings":[8],"in":[9],"terms":[10],"the":[12,20],"trace":[13],"ideal.":[14],"As":[15],"an":[16],"application,":[17],"we":[18],"investigate":[19],"property":[23],"certain":[25],"\u2124":[26],"2":[27],"-graded":[28],"rings.":[29]},"counts_by_year":[],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2025-10-25T00:00:00"}
