{"id":"https://openalex.org/W4415683846","doi":"https://doi.org/10.3390/axioms14110787","title":"Semicommutative and Armendariz Matrix Rings","display_name":"Semicommutative and Armendariz Matrix Rings","publication_year":2025,"publication_date":"2025-10-26","ids":{"openalex":"https://openalex.org/W4415683846","doi":"https://doi.org/10.3390/axioms14110787"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14110787","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14110787","pdf_url":"https://www.mdpi.com/2075-1680/14/11/787/pdf?version=1761564438","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/11/787/pdf?version=1761564438","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102838364","display_name":"Gang Yang","orcid":"https://orcid.org/0009-0004-3398-5560"},"institutions":[{"id":"https://openalex.org/I3133134087","display_name":"Lanzhou Jiaotong University","ror":"https://ror.org/03144pv92","country_code":"CN","type":"education","lineage":["https://openalex.org/I3133134087"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gang Yang","raw_affiliation_strings":["School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China"],"raw_orcid":"https://orcid.org/0009-0004-3398-5560","affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China","institution_ids":["https://openalex.org/I3133134087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102838364"],"corresponding_institution_ids":["https://openalex.org/I3133134087"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37871084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"11","first_page":"787","last_page":"787"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9004999995231628,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9004999995231628,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.014999999664723873,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.013100000098347664,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.598800003528595},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5853000283241272},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4361000061035156},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.421999990940094},{"id":"https://openalex.org/keywords/von-neumann-regular-ring","display_name":"Von Neumann regular ring","score":0.3797000050544739},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32679998874664307}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7487999796867371},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.598800003528595},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5853000283241272},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5547000169754028},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4361000061035156},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.421999990940094},{"id":"https://openalex.org/C190552800","wikidata":"https://www.wikidata.org/wiki/Q2895315","display_name":"Von Neumann regular ring","level":3,"score":0.3797000050544739},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37279999256134033},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32679998874664307},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.3098999857902527},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.2621999979019165},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2597000002861023},{"id":"https://openalex.org/C125225535","wikidata":"https://www.wikidata.org/wiki/Q7049224","display_name":"Noncommutative ring","level":3,"score":0.25940001010894775},{"id":"https://openalex.org/C94947713","wikidata":"https://www.wikidata.org/wiki/Q12806125","display_name":"Hollow matrix","level":5,"score":0.25699999928474426},{"id":"https://openalex.org/C101908085","wikidata":"https://www.wikidata.org/wiki/Q5051859","display_name":"Category of rings","level":5,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14110787","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14110787","pdf_url":"https://www.mdpi.com/2075-1680/14/11/787/pdf?version=1761564438","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ab9c5f1eea6b467ca3af26d78131f639","is_oa":true,"landing_page_url":"https://doaj.org/article/ab9c5f1eea6b467ca3af26d78131f639","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 11, p 787 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14110787","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14110787","pdf_url":"https://www.mdpi.com/2075-1680/14/11/787/pdf?version=1761564438","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6144451872","display_name":null,"funder_award_id":"12161049","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415683846.pdf","grobid_xml":"https://content.openalex.org/works/W4415683846.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1902986653","https://openalex.org/W1974915239","https://openalex.org/W1995573672","https://openalex.org/W2015466415","https://openalex.org/W2017457943","https://openalex.org/W2017729663","https://openalex.org/W2027895850","https://openalex.org/W2053715428","https://openalex.org/W2057568746","https://openalex.org/W2085813688","https://openalex.org/W2121297078","https://openalex.org/W2132360412","https://openalex.org/W2159212105","https://openalex.org/W3007305490","https://openalex.org/W4251336894","https://openalex.org/W4405895848"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"construct":[4],"some":[5],"interesting":[6],"high-order":[7],"upper":[8],"triangular":[9],"matrix":[10,29],"rings,":[11],"which":[12],"have":[13],"semicommutative":[14],"and":[15],"Armendariz":[16],"properties.":[17],"Also,":[18],"the":[19],"relatively":[20],"maximality":[21],"of":[22,27],"these":[23],"rings":[24,30],"as":[25],"subrings":[26],"certain":[28],"is":[31],"considered.":[32]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-30T00:00:00"}
