{"id":"https://openalex.org/W4392345299","doi":"https://doi.org/10.1142/s0218196724500115","title":"Products of traceless and semi-traceless matrices over division rings and their applications","display_name":"Products of traceless and semi-traceless matrices over division rings and their applications","publication_year":2024,"publication_date":"2024-03-02","ids":{"openalex":"https://openalex.org/W4392345299","doi":"https://doi.org/10.1142/s0218196724500115"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196724500115","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500115","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/A5012544320","display_name":"Peter Danchev","orcid":"https://orcid.org/0000-0002-2016-2336"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Peter V. Danchev","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0002-2016-2336","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000460689","display_name":"Truong Huu Dung","orcid":"https://orcid.org/0000-0001-6552-724X"},"institutions":[{"id":"https://openalex.org/I4210134642","display_name":"Lac Hong University","ror":"https://ror.org/03nypmk85","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210134642"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Truong Huu Dung","raw_affiliation_strings":["Department of Mathematics, Dong Nai University, 9 Le Quy Don Street, Tan Hiep Ward, Bien Hoa City, Dong Nai Province, Vietnam"],"raw_orcid":"https://orcid.org/0000-0001-6552-724X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dong Nai University, 9 Le Quy Don Street, Tan Hiep Ward, Bien Hoa City, Dong Nai Province, Vietnam","institution_ids":["https://openalex.org/I4210134642"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025973945","display_name":"Tran Nam Son","orcid":"https://orcid.org/0000-0002-9560-6392"},"institutions":[{"id":"https://openalex.org/I123565023","display_name":"Vietnam National University Ho Chi Minh City","ror":"https://ror.org/00waaqh38","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023"]},{"id":"https://openalex.org/I23582244","display_name":"Ho Chi Minh City University of Science","ror":"https://ror.org/05jfbgm49","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I23582244"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Tran Nam Son","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam","Vietnam National University, Ho Chi Minh City, Vietnam"],"raw_orcid":"https://orcid.org/0000-0002-9560-6392","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I23582244"]},{"raw_affiliation_string":"Vietnam National University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I123565023"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012544320"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"],"apc_list":null,"apc_paid":null,"fwci":4.6983,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.94756625,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"34","issue":"03","first_page":"331","last_page":"349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994999766349792,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8086680173873901},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7550513744354248},{"id":"https://openalex.org/keywords/division-ring","display_name":"Division ring","score":0.4509834051132202},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36343440413475037},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2468796968460083},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.22296705842018127}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8086680173873901},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7550513744354248},{"id":"https://openalex.org/C31671303","wikidata":"https://www.wikidata.org/wiki/Q650741","display_name":"Division ring","level":3,"score":0.4509834051132202},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36343440413475037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2468796968460083},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.22296705842018127}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196724500115","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500115","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/G3450032866","display_name":null,"funder_award_id":"FQM 264","funder_id":"https://openalex.org/F4320326754","funder_display_name":"Junta de Andaluc\u00eda"}],"funders":[{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W438580906","https://openalex.org/W1964284008","https://openalex.org/W1965223625","https://openalex.org/W1967717518","https://openalex.org/W1974563476","https://openalex.org/W1996018593","https://openalex.org/W2033772417","https://openalex.org/W2082427174","https://openalex.org/W2084928321","https://openalex.org/W2086838580","https://openalex.org/W2143024504","https://openalex.org/W2964121942","https://openalex.org/W2986794098","https://openalex.org/W3047764774","https://openalex.org/W3092753279","https://openalex.org/W3105485769","https://openalex.org/W3169891712","https://openalex.org/W3201079789","https://openalex.org/W4231590562","https://openalex.org/W4238314930","https://openalex.org/W4283579853","https://openalex.org/W4292101298","https://openalex.org/W4301374466","https://openalex.org/W4306925868","https://openalex.org/W4328095753"],"related_works":["https://openalex.org/W2070939056","https://openalex.org/W2022472189","https://openalex.org/W4294168466","https://openalex.org/W2379498264","https://openalex.org/W4223469647","https://openalex.org/W1565833102","https://openalex.org/W2264352149","https://openalex.org/W4229596634","https://openalex.org/W4300430055","https://openalex.org/W2030414954"],"abstract_inverted_index":{"In":[0],"this":[1,36],"paper,":[2],"we":[3,45],"prove":[4],"that":[5,47],"every":[6],"matrix":[7],"over":[8],"a":[9,15,26],"division":[10],"ring":[11],"is":[12],"representable":[13],"as":[14,23,25],"product":[16,27],"of":[17,28,49,61,63],"at":[18,29],"most":[19,30],"10":[20],"traceless":[21],"matrices":[22],"well":[24],"four":[31],"semi-traceless":[32],"matrices.":[33],"By":[34],"applying":[35],"result":[37],"and":[38,56],"the":[39],"obtained":[40],"so":[41],"far":[42],"other":[43],"results,":[44],"show":[46],"elements":[48],"some":[50,53],"algebras":[51],"possess":[52],"rather":[54],"interesting":[55],"nontrivial":[57],"decompositions":[58],"into":[59],"products":[60],"images":[62],"non-commutative":[64],"polynomials.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}