{"id":"https://openalex.org/W4212848948","doi":"https://doi.org/10.1142/s0218196722500278","title":"\u03c4-tilting modules over trivial extensions","display_name":"\u03c4-tilting modules over trivial extensions","publication_year":2022,"publication_date":"2022-02-17","ids":{"openalex":"https://openalex.org/W4212848948","doi":"https://doi.org/10.1142/s0218196722500278"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196722500278","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500278","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100660626","display_name":"Zhiwei Li","orcid":"https://orcid.org/0000-0001-7814-4483"},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhi-Wei Li","raw_affiliation_strings":["School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, P. R. China","institution_ids":["https://openalex.org/I118574674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018956614","display_name":"Xiaojin Zhang","orcid":"https://orcid.org/0000-0001-6624-2377"},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojin Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, P. R. China","institution_ids":["https://openalex.org/I118574674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100660626"],"corresponding_institution_ids":["https://openalex.org/I118574674"],"apc_list":null,"apc_paid":null,"fwci":0.7859,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66112477,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"32","issue":"03","first_page":"617","last_page":"628"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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":1.0,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8638240694999695},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7831822633743286},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6922041177749634},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5295211672782898},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5250251889228821},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4739251732826233},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.46133410930633545},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09905797243118286}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8638240694999695},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7831822633743286},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6922041177749634},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5295211672782898},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5250251889228821},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4739251732826233},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.46133410930633545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09905797243118286},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196722500278","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500278","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5646081729","display_name":null,"funder_award_id":"12171207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8021088173","display_name":null,"funder_award_id":"11671174","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1970061713","https://openalex.org/W1980607182","https://openalex.org/W2078189341","https://openalex.org/W2094530679","https://openalex.org/W2280678919","https://openalex.org/W2297368831","https://openalex.org/W2501818278","https://openalex.org/W2942998110","https://openalex.org/W2963774197","https://openalex.org/W2963921982","https://openalex.org/W3007484505","https://openalex.org/W3045320188","https://openalex.org/W3098579973","https://openalex.org/W3121928996","https://openalex.org/W3126045210","https://openalex.org/W3153058591","https://openalex.org/W4238915371","https://openalex.org/W4292101331"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W3009369890","https://openalex.org/W2023329664","https://openalex.org/W1967452912","https://openalex.org/W1964808438","https://openalex.org/W4308012852"],"abstract_inverted_index":{"We":[0],"study":[1],"(support)":[2,38],"[Formula:":[3,39],"see":[4,22,40],"text]-tilting":[5,23,41],"modules":[6,24,42],"over":[7,43],"the":[8,28,35],"trivial":[9],"extensions":[10],"of":[11,20,27],"finite-dimensional":[12],"algebras.":[13],"More":[14],"precisely,":[15],"we":[16],"construct":[17],"two":[18],"classes":[19],"(support)[Formula:":[21],"in":[25],"terms":[26],"adjoint":[29],"functors":[30],"which":[31],"extend":[32],"and":[33],"generalize":[34],"results":[36],"on":[37],"triangular":[44],"matrix":[45],"rings":[46],"given":[47],"by":[48],"Gao-Huang.":[49]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}