{"id":"https://openalex.org/W4386964099","doi":"https://doi.org/10.17654/0972555523023","title":"ON A CLASS OF ALGEBRAS SATISFYING AN IDENTITY OF DEGREE FIVE","display_name":"ON A CLASS OF ALGEBRAS SATISFYING AN IDENTITY OF DEGREE FIVE","publication_year":2023,"publication_date":"2023-09-20","ids":{"openalex":"https://openalex.org/W4386964099","doi":"https://doi.org/10.17654/0972555523023"},"language":"en","primary_location":{"id":"doi:10.17654/0972555523023","doi":"https://doi.org/10.17654/0972555523023","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0972555523023","pdf_url":"https://pphmjopenaccess.com/index.php/jpjana/article/download/1034/871","source":{"id":"https://openalex.org/S2764881945","display_name":"JP Journal of Algebra Number Theory and Applications","issn_l":"0972-5555","issn":["0972-5555","3049-2084"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20"],"host_organization":"https://openalex.org/P4362561667","host_organization_name":"Pushpa Publishing House","host_organization_lineage":["https://openalex.org/P4362561667"],"host_organization_lineage_names":["Pushpa Publishing House"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JP Journal of Algebra, Number Theory and Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://pphmjopenaccess.com/index.php/jpjana/article/download/1034/871","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092923376","display_name":"Aly GUIRO","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aly GUIRO","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032279687","display_name":"Abdoulaye Dembega","orcid":"https://orcid.org/0009-0004-6075-555X","observed_orcids":["https://orcid.org/0009-0004-6075-555X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abdoulaye DEMBEGA","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5004697466","display_name":"Andr\u00e9 Conseibo","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andr\u00e9 CONSEIBO","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2869,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76918559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"62","issue":"2","first_page":"87","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9672999978065491,"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":0.9672999978065491,"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":0.02710000053048134,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.0008999999845400453,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/polynomial-identities","display_name":"polynomial identities","score":0.8759999871253967},{"id":"https://openalex.org/keywords/idempotents","display_name":"idempotents","score":0.8330000042915344},{"id":"https://openalex.org/keywords/peirce-decomposition","display_name":"Peirce decomposition","score":0.9990000128746033},{"id":"https://openalex.org/keywords/derivations","display_name":"derivations","score":0.9739999771118164},{"id":"https://openalex.org/keywords/representations-of-algebras","display_name":"representation theory of algebras","score":0.9279999732971191}],"concepts":[{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.8468894958496094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8183170557022095},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7509956359863281},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7465152740478516},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.7268622517585754},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6560542583465576},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5344281196594238},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5281674265861511},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4966505169868469},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41406357288360596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09785479307174683},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06047409772872925},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.17654/0972555523023","doi":"https://doi.org/10.17654/0972555523023","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0972555523023","pdf_url":"https://pphmjopenaccess.com/index.php/jpjana/article/download/1034/871","source":{"id":"https://openalex.org/S2764881945","display_name":"JP Journal of Algebra Number Theory and Applications","issn_l":"0972-5555","issn":["0972-5555","3049-2084"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20"],"host_organization":"https://openalex.org/P4362561667","host_organization_name":"Pushpa Publishing House","host_organization_lineage":["https://openalex.org/P4362561667"],"host_organization_lineage_names":["Pushpa Publishing House"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JP Journal of Algebra, Number Theory and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.17654/0972555523023","doi":"https://doi.org/10.17654/0972555523023","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0972555523023","pdf_url":"https://pphmjopenaccess.com/index.php/jpjana/article/download/1034/871","source":{"id":"https://openalex.org/S2764881945","display_name":"JP Journal of Algebra Number Theory and Applications","issn_l":"0972-5555","issn":["0972-5555","3049-2084"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20"],"host_organization":"https://openalex.org/P4362561667","host_organization_name":"Pushpa Publishing House","host_organization_lineage":["https://openalex.org/P4362561667"],"host_organization_lineage_names":["Pushpa Publishing House"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JP Journal of Algebra, Number Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386964099.pdf","grobid_xml":"https://content.openalex.org/works/W4386964099.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W249578765","https://openalex.org/W1554315206","https://openalex.org/W1561976048","https://openalex.org/W1974194115","https://openalex.org/W2048257393","https://openalex.org/W2332700628","https://openalex.org/W2570514162","https://openalex.org/W6628915305"],"related_works":["https://openalex.org/W4388044679","https://openalex.org/W7160707474","https://openalex.org/W7126267159","https://openalex.org/W4408597101","https://openalex.org/W7126261688","https://openalex.org/W4309800423","https://openalex.org/W7126205560","https://openalex.org/W4415653494","https://openalex.org/W7213234286","https://openalex.org/W7126181051"],"abstract_inverted_index":{"In":[0],"this":[1,42,53],"paper,":[2],"we":[3,44],"study":[4,45],"a":[5,12,28,38],"class":[6],"of":[7,15,24,27,50,52],"commutative":[8],"nonassociative":[9],"algebras":[10,51],"satisfying":[11,33],"polynomial":[13],"identity":[14,36],"degree":[16],"five.":[17],"We":[18],"show":[19],"that":[20],"under":[21],"the":[22,25,46],"assumption":[23],"existence":[26],"nonzero":[29],"idempotent,":[30],"any":[31],"algebra":[32],"such":[34],"an":[35],"admits":[37],"Peirce":[39],"decomposition.":[40],"Using":[41],"decomposition,":[43],"derivations":[47],"and":[48],"representations":[49],"class.":[54],"Received:":[55],"May":[56,59],"6,":[57],"2023Revised:":[58],"30,":[60],"2023Accepted:":[61],"July":[62],"4,":[63],"2023":[64]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2023-09-23T00:00:00"}
