{"id":"https://openalex.org/W2283364391","doi":"https://doi.org/10.1142/s021819671650017x","title":"Identities of the left-symmetric Witt algebras","display_name":"Identities of the left-symmetric Witt algebras","publication_year":2016,"publication_date":"2016-02-18","ids":{"openalex":"https://openalex.org/W2283364391","doi":"https://doi.org/10.1142/s021819671650017x","mag":"2283364391"},"language":"en","primary_location":{"id":"doi:10.1142/s021819671650017x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819671650017x","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/A5022724434","display_name":"Daniyar Kozybaev","orcid":null},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":true,"raw_author_name":"Daniyar Kozybaev","raw_affiliation_strings":["Eurasian National University, Astana, Kazakhstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eurasian National University, Astana, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006108293","display_name":"Ualbai Umirbaev","orcid":"https://orcid.org/0000-0003-1399-9530"},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]},{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["KZ","US"],"is_corresponding":false,"raw_author_name":"Ualbai Umirbaev","raw_affiliation_strings":["Eurasian National University, Astana, Kazakhstan and Wayne State University, Detroit, MI 48202, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eurasian National University, Astana, Kazakhstan and Wayne State University, Detroit, MI 48202, USA","institution_ids":["https://openalex.org/I10232997","https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022724434"],"corresponding_institution_ids":["https://openalex.org/I10232997"],"apc_list":null,"apc_paid":null,"fwci":0.639,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.64275256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"26","issue":"02","first_page":"435","last_page":"450"},"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":0.9997000098228455,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8446491956710815},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.6098745465278625},{"id":"https://openalex.org/keywords/witt-algebra","display_name":"Witt algebra","score":0.47770217061042786},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.43070682883262634},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42136627435684204},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.41313329339027405},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4105564057826996},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40117472410202026},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3601810932159424},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.25218868255615234},{"id":"https://openalex.org/keywords/cellular-algebra","display_name":"Cellular algebra","score":0.19111338257789612}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8446491956710815},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.6098745465278625},{"id":"https://openalex.org/C150050237","wikidata":"https://www.wikidata.org/wiki/Q444054","display_name":"Witt algebra","level":5,"score":0.47770217061042786},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.43070682883262634},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42136627435684204},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.41313329339027405},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4105564057826996},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40117472410202026},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3601810932159424},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.25218868255615234},{"id":"https://openalex.org/C100899422","wikidata":"https://www.wikidata.org/wiki/Q5058347","display_name":"Cellular algebra","level":4,"score":0.19111338257789612},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021819671650017x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819671650017x","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1538534850","https://openalex.org/W1968380471","https://openalex.org/W1986732903","https://openalex.org/W1993735125","https://openalex.org/W2075141974","https://openalex.org/W2110271987","https://openalex.org/W2122350569","https://openalex.org/W2963785976","https://openalex.org/W4248632564"],"related_works":["https://openalex.org/W2032233321","https://openalex.org/W3121970507","https://openalex.org/W2110028391","https://openalex.org/W54497855","https://openalex.org/W217960748","https://openalex.org/W3125814499","https://openalex.org/W2090827041","https://openalex.org/W187246281","https://openalex.org/W2565703248","https://openalex.org/W2143548620"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,11,20,24,36,64,75,79,102],"see":[2,12,21,25,37,65,76,80,103],"text]":[3,13,22,26,38,66],"be":[4,27],"the":[5,18,28,70,83],"polynomial":[6],"algebra":[7,31],"over":[8],"a":[9,92],"field":[10],"of":[14,32,35,63,72,85,94],"characteristic":[15],"zero":[16],"in":[17,46],"variables":[19],"and":[23,48,67],"left-symmetric":[29,87],"Witt":[30],"all":[33,59,73,86],"derivations":[34],"[D.":[39],"Burde,":[40],"Left-symmetric":[41],"algebras,":[42],"or":[43],"pre-Lie":[44],"algebras":[45,74],"geometry":[47],"physics,":[49],"Cent.":[50],"Eur.":[51],"J.":[52],"Math.":[53],"4(3)":[54],"(2006)":[55],"323\u2013357].":[56],"We":[57,89],"describe":[58,91],"right":[60,98],"operator":[61],"identities":[62,100],"prove":[68],"that":[69],"set":[71],"text],":[77,81],"where":[78],"generates":[82],"variety":[84],"algebras.":[88],"also":[90],"class":[93],"general":[95],"(not":[96],"only":[97],"operator)":[99],"for":[101],"text].":[104]},"counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
