{"id":"https://openalex.org/W3166265866","doi":"https://doi.org/10.1142/s0218196722500424","title":"Derivation problem for quandle algebras","display_name":"Derivation problem for quandle algebras","publication_year":2022,"publication_date":"2022-05-18","ids":{"openalex":"https://openalex.org/W3166265866","doi":"https://doi.org/10.1142/s0218196722500424","mag":"3166265866"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196722500424","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500424","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/A5055667213","display_name":"Mohamed Elhamdadi","orcid":"https://orcid.org/0000-0003-0906-1507"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Elhamdadi","raw_affiliation_strings":["Department of Mathematics, University of South Florida, Tampa, FL 33620, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Florida, Tampa, FL 33620, USA","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003635606","display_name":"Abdenacer Makhlouf","orcid":"https://orcid.org/0000-0002-5329-487X"},"institutions":[{"id":"https://openalex.org/I2800745255","display_name":"Universit\u00e9 de Haute-Alsace","ror":"https://ror.org/04k8k6n84","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800745255"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Makhlouf","raw_affiliation_strings":["IRIMAS - d\u00e9partement de Math\u00e9matiques, Universit\u00e9 de Haute Alsace, 18 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse, France"],"affiliations":[{"raw_affiliation_string":"IRIMAS - d\u00e9partement de Math\u00e9matiques, Universit\u00e9 de Haute Alsace, 18 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse, France","institution_ids":["https://openalex.org/I2800745255"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091133423","display_name":"Sergei Silvestrov","orcid":"https://orcid.org/0000-0003-4554-6528"},"institutions":[{"id":"https://openalex.org/I82509713","display_name":"M\u00e4lardalen University","ror":"https://ror.org/033vfbz75","country_code":"SE","type":"education","lineage":["https://openalex.org/I82509713"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"S. Silvestrov","raw_affiliation_strings":["Division of Mathematics and Physics, School of Education, Culture and Communication, M\u00e4lardalen University, Box 883, 72123 V\u00e4ster\u00e5s, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Mathematics and Physics, School of Education, Culture and Communication, M\u00e4lardalen University, Box 883, 72123 V\u00e4ster\u00e5s, Sweden","institution_ids":["https://openalex.org/I82509713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006040096","display_name":"Emanuele Zappala","orcid":"https://orcid.org/0000-0002-9684-9441"},"institutions":[{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"E. Zappala","raw_affiliation_strings":["Institute of Mathematics and Statistics, University of Tartu, Narva mnt 18, 51009 Tartu, Estonia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, University of Tartu, Narva mnt 18, 51009 Tartu, Estonia","institution_ids":["https://openalex.org/I56085075"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003635606"],"corresponding_institution_ids":["https://openalex.org/I2800745255"],"apc_list":null,"apc_paid":null,"fwci":2.3459,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.85561717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"32","issue":"05","first_page":"985","last_page":"1007"},"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":0.9998999834060669,"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":0.9995999932289124,"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/mathematics","display_name":"Mathematics","score":0.8533700704574585},{"id":"https://openalex.org/keywords/non-associative-algebra","display_name":"Non-associative algebra","score":0.5977128744125366},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5667553544044495},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5589449405670166},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5387327075004578},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5272875428199768},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5173165798187256},{"id":"https://openalex.org/keywords/associative-algebra","display_name":"Associative algebra","score":0.502105712890625},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.49665337800979614},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.4438770115375519},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4289744794368744},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.2989121079444885},{"id":"https://openalex.org/keywords/cellular-algebra","display_name":"Cellular algebra","score":0.16440099477767944},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0854819118976593}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8533700704574585},{"id":"https://openalex.org/C518143113","wikidata":"https://www.wikidata.org/wiki/Q4391941","display_name":"Non-associative algebra","level":4,"score":0.5977128744125366},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5667553544044495},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5589449405670166},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5387327075004578},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5272875428199768},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5173165798187256},{"id":"https://openalex.org/C51292594","wikidata":"https://www.wikidata.org/wiki/Q744960","display_name":"Associative algebra","level":5,"score":0.502105712890625},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.49665337800979614},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.4438770115375519},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4289744794368744},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.2989121079444885},{"id":"https://openalex.org/C100899422","wikidata":"https://www.wikidata.org/wiki/Q5058347","display_name":"Cellular algebra","level":4,"score":0.16440099477767944},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0854819118976593},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196722500424","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500424","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1594873819","https://openalex.org/W1794211219","https://openalex.org/W1966469902","https://openalex.org/W1967388266","https://openalex.org/W1972757326","https://openalex.org/W1981409634","https://openalex.org/W2018560262","https://openalex.org/W2025104847","https://openalex.org/W2149280988","https://openalex.org/W2798384146","https://openalex.org/W2803458649","https://openalex.org/W3102303398","https://openalex.org/W3149396277"],"related_works":["https://openalex.org/W255078595","https://openalex.org/W4293407557","https://openalex.org/W2290501264","https://openalex.org/W1981095115","https://openalex.org/W4287366250","https://openalex.org/W4382322727","https://openalex.org/W2592509875","https://openalex.org/W624583710","https://openalex.org/W4287241917","https://openalex.org/W4381740117"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,12,42,47,50,55,62,66,89,103,106],"this":[3],"paper":[4],"is":[5],"to":[6,33],"introduce":[7],"and":[8,58,71,78],"investigate":[9,83],"the":[10,21,45,60,63,87,99],"notion":[11],"derivation":[13],"for":[14,29,91,98],"quandle":[15,48,104],"algebras.":[16],"More":[17],"precisely,":[18],"we":[19,82],"describe":[20],"symmetries":[22],"on":[23],"structure":[24],"constants":[25],"providing":[26],"a":[27,30,35,39],"characterization":[28,41],"linear":[31],"map":[32],"be":[34],"derivation.":[36],"We":[37,94],"obtain":[38,95],"complete":[40],"derivations":[43],"in":[44,86,112],"case":[46],"algebras":[49,105],"dihedral":[51],"quandles":[52],"over":[53,75],"fields":[54],"characteristic":[56],"zero,":[57],"provide":[59],"dimensionality":[61],"Lie":[64,100],"algebra":[65,102],"derivations.":[67],"Many":[68],"explicit":[69,110],"examples":[70],"computations":[72,111],"are":[73],"given":[74],"both":[76],"zero":[77],"positive":[79],"characteristic.":[80],"Furthermore,":[81],"inner":[84],"derivations,":[85],"sense":[88],"Schafer":[90],"non-associative":[92],"structures.":[93],"necessary":[96],"conditions":[97],"transformation":[101],"Alexander":[107],"quandles,":[108],"with":[109],"low":[113],"dimensions.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}