{"id":"https://openalex.org/W4411622232","doi":"https://doi.org/10.2298/fil2432193w","title":"Higher coderivations of formal triangular matrix coalgebras","display_name":"Higher coderivations of formal triangular matrix coalgebras","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4411622232","doi":"https://doi.org/10.2298/fil2432193w"},"language":"en","primary_location":{"id":"doi:10.2298/fil2432193w","doi":"https://doi.org/10.2298/fil2432193w","is_oa":true,"landing_page_url":"https://doi.org/10.2298/fil2432193w","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802432193W","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802432193W","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025926868","display_name":"Dingguo Wang","orcid":"https://orcid.org/0000-0001-7788-7613","observed_orcids":["https://orcid.org/0000-0001-7788-7613"]},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dingguo Wang","raw_affiliation_strings":["School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, P.R. China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045807568","display_name":"Yaguo Guo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210136682","display_name":"Heze University","ror":"https://ror.org/041zje040","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaguo Guo","raw_affiliation_strings":["School of Mathematics and Statistics, Heze University, Heze, Shandong, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Heze University, Heze, Shandong, P.R. China","institution_ids":["https://openalex.org/I4210136682"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017970856","display_name":"Daowei Lu","orcid":"https://orcid.org/0000-0002-8256-8745","observed_orcids":["https://orcid.org/0000-0002-8256-8745"]},"institutions":[{"id":"https://openalex.org/I4210127530","display_name":"Jining University","ror":"https://ror.org/037rvh518","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210127530"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daowei Lu","raw_affiliation_strings":["School of Mathematics and Big Data, Jining University, Qufu, Shandong, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Big Data, Jining University, Qufu, Shandong, P.R. China","institution_ids":["https://openalex.org/I4210127530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3448652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"32","first_page":"11193","last_page":"11209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9775000214576721,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9775000214576721,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.013000000268220901,"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":0.006300000008195639,"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/coalgebras","display_name":"coalgebras","score":0.8659999966621399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9250117540359497},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.5638156533241272},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.525874137878418},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4790695607662201},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47578203678131104},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.07362678647041321},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.04533439874649048},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2298/fil2432193w","doi":"https://doi.org/10.2298/fil2432193w","is_oa":true,"landing_page_url":"https://doi.org/10.2298/fil2432193w","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802432193W","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2298/fil2432193w","doi":"https://doi.org/10.2298/fil2432193w","is_oa":true,"landing_page_url":"https://doi.org/10.2298/fil2432193w","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802432193W","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1730147609","display_name":null,"funder_award_id":"12471036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8503811393","display_name":null,"funder_award_id":"12271292","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411622232.pdf","grobid_xml":"https://content.openalex.org/works/W4411622232.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1500084468","https://openalex.org/W1578572936","https://openalex.org/W1603468845","https://openalex.org/W1724983134","https://openalex.org/W1915681863","https://openalex.org/W1966920634","https://openalex.org/W2003432593","https://openalex.org/W2030697533","https://openalex.org/W2051187928","https://openalex.org/W2054215647","https://openalex.org/W2054813489","https://openalex.org/W2057638859","https://openalex.org/W2069572455","https://openalex.org/W2070241032","https://openalex.org/W2132777705","https://openalex.org/W2270347365","https://openalex.org/W2598971517","https://openalex.org/W2962801800","https://openalex.org/W4251495179"],"related_works":["https://openalex.org/W4393105948","https://openalex.org/W3152353880","https://openalex.org/W2106329926","https://openalex.org/W2035249516","https://openalex.org/W2354990376","https://openalex.org/W2379805319","https://openalex.org/W2598971517","https://openalex.org/W4320035750","https://openalex.org/W2950592271","https://openalex.org/W3011886919"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,54],"introduce":[4],"the":[5,29,41,56,60,74,83],"notion":[6],"of":[7,16,31,43,46,100],"higher":[8,33,57,75,84,91],"coderivations":[9,34,47,58,76,85,92],"on":[10,59,77,86,93],"coalgebras":[11],"as":[12],"an":[13],"important":[14],"generalization":[15],"coderivations,":[17],"and":[18,40,69,88,95],"show":[19],"that":[20,73],"there":[21],"exists":[22],"a":[23],"one":[24,26],"to":[25],"correspondence":[27],"between":[28],"set":[30,42],"all":[32,44],"{Dn}":[35],"with":[36,49],"D0":[37],"=":[38,51],"idC":[39],"sequences":[45],"{fn}":[48],"f0":[50],"0.":[52],"Then":[53],"characterize":[55],"formal":[61],"triangular":[62],"matrix":[63],"co":[64],"algebra":[65],"?=":[66],"(CM":[67],"0D),":[68],"it":[70],"is":[71],"shown":[72],"?":[78],"could":[79],"be":[80],"described":[81],"by":[82],"C":[87],"D,":[89],"generalized":[90],"M,":[94],"two":[96],"other":[97],"related":[98],"families":[99],"maps.":[101]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}