{"id":"https://openalex.org/W4388635139","doi":"https://doi.org/10.3390/axioms12111045","title":"Homotopes of Quasi-Jordan Algebras","display_name":"Homotopes of Quasi-Jordan Algebras","publication_year":2023,"publication_date":"2023-11-10","ids":{"openalex":"https://openalex.org/W4388635139","doi":"https://doi.org/10.3390/axioms12111045"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12111045","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111045","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1045/pdf?version=1699688952","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/2075-1680/12/11/1045/pdf?version=1699688952","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058264957","display_name":"Reem K. Alhefthi","orcid":"https://orcid.org/0000-0001-9344-2008"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Reem K. Alhefthi","raw_affiliation_strings":["Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-9344-2008","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102977554","display_name":"Akhlaq A. Siddiqui","orcid":"https://orcid.org/0000-0002-0021-0847"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Akhlaq A. Siddiqui","raw_affiliation_strings":["Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-0021-0847","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027962487","display_name":"Fatmah B. Jamjoom","orcid":"https://orcid.org/0000-0001-5596-1050"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fatmah B. Jamjoom","raw_affiliation_strings":["Mathematics Departments, College of Sciences, King Abdul Aziz University, P.O. Box 80200, Jeddah 21589, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-5596-1050","affiliations":[{"raw_affiliation_string":"Mathematics Departments, College of Sciences, King Abdul Aziz University, P.O. Box 80200, Jeddah 21589, Saudi Arabia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058264957"],"corresponding_institution_ids":["https://openalex.org/I28022161"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.29068093,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"11","first_page":"1045","last_page":"1045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":1.0,"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":1.0,"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":0.9918000102043152,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/jordan-algebra","display_name":"Jordan algebra","score":0.8931393623352051},{"id":"https://openalex.org/keywords/subalgebra","display_name":"Subalgebra","score":0.8478521108627319},{"id":"https://openalex.org/keywords/non-associative-algebra","display_name":"Non-associative algebra","score":0.6171620488166809},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.589747965335846},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5796903967857361},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46344757080078125},{"id":"https://openalex.org/keywords/jordan-matrix","display_name":"Jordan matrix","score":0.4318874478340149},{"id":"https://openalex.org/keywords/universal-enveloping-algebra","display_name":"Universal enveloping algebra","score":0.39311084151268005},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.38827502727508545},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07920718193054199}],"concepts":[{"id":"https://openalex.org/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.8931393623352051},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.8478521108627319},{"id":"https://openalex.org/C518143113","wikidata":"https://www.wikidata.org/wiki/Q4391941","display_name":"Non-associative algebra","level":4,"score":0.6171620488166809},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.589747965335846},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5796903967857361},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46344757080078125},{"id":"https://openalex.org/C89890916","wikidata":"https://www.wikidata.org/wiki/Q3738073","display_name":"Jordan matrix","level":3,"score":0.4318874478340149},{"id":"https://openalex.org/C155058155","wikidata":"https://www.wikidata.org/wiki/Q1673406","display_name":"Universal enveloping algebra","level":3,"score":0.39311084151268005},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.38827502727508545},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07920718193054199},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12111045","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111045","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1045/pdf?version=1699688952","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:174cad8c48744e38b207d88908421887","is_oa":true,"landing_page_url":"https://doaj.org/article/174cad8c48744e38b207d88908421887","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 12, Iss 11, p 1045 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12111045","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111045","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1045/pdf?version=1699688952","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/G1364177801","display_name":null,"funder_award_id":"RSPD2023R802","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388635139.pdf","grobid_xml":"https://content.openalex.org/works/W4388635139.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W202454540","https://openalex.org/W351339564","https://openalex.org/W1482946932","https://openalex.org/W1506692979","https://openalex.org/W1982466237","https://openalex.org/W1983347253","https://openalex.org/W1983821896","https://openalex.org/W1984260596","https://openalex.org/W2008847861","https://openalex.org/W2019095486","https://openalex.org/W2034556881","https://openalex.org/W2041760619","https://openalex.org/W2069194229","https://openalex.org/W2078733292","https://openalex.org/W2085386899","https://openalex.org/W2086161749","https://openalex.org/W2094630731","https://openalex.org/W2126112359","https://openalex.org/W2141607917","https://openalex.org/W2479660894","https://openalex.org/W2606984140","https://openalex.org/W2792436936","https://openalex.org/W2964200293","https://openalex.org/W3046289885","https://openalex.org/W3047434697","https://openalex.org/W3152505990","https://openalex.org/W3167504845","https://openalex.org/W4289134009","https://openalex.org/W4293443232","https://openalex.org/W6636457114","https://openalex.org/W6652178868","https://openalex.org/W6661259779","https://openalex.org/W6736623766"],"related_works":["https://openalex.org/W2060556379","https://openalex.org/W2129239480","https://openalex.org/W4388635139","https://openalex.org/W2155405738","https://openalex.org/W2951781890","https://openalex.org/W2008847861","https://openalex.org/W2963257090","https://openalex.org/W1547206463","https://openalex.org/W3186716778","https://openalex.org/W4221145489"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,51,60,65,72,75,87,100],"quasi-Jordan":[3,23,39,49,76,90,94,103,107],"algebras":[4,29,95],"was":[5],"originally":[6],"proposed":[7],"by":[8],"R.":[9,12,16],"Velasquez":[10],"and":[11,30,33,96],"Fellipe.":[13],"Later,":[14],"M.":[15],"Bremner":[17],"provided":[18],"a":[19,48,70,101,106],"modification":[20],"called":[21],"K-B":[22,102],"algebras;":[24,77],"these":[25],"include":[26],"all":[27,31,35],"Jordan":[28,66],"dialgebras,":[32],"hence":[34],"associative":[36],"algebras.":[37],"Any":[38],"algebra":[40,91,104],"is":[41,45,105],"special":[42,89,93],"if":[43],"it":[44],"isomorphic":[46],"to":[47],"subalgebra":[50],"some":[52,115],"dialgebras.":[53],"Keeping":[54],"in":[55,62],"view":[56],"the":[57,63,73,85,98,110],"pivotal":[58],"role":[59],"homotopes":[61,74,86,99],"theory":[64],"algebras,":[67],"we":[68,82,112],"begin":[69],"study":[71],"among":[78],"other":[79],"related":[80],"results,":[81],"show":[83],"that":[84,97],"any":[88],"are":[92],"algebra.":[108],"In":[109],"sequel,":[111],"also":[113],"give":[114],"open":[116],"problems.":[117]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
