{"id":"https://openalex.org/W2146230035","doi":"https://doi.org/10.1142/s0218196708004275","title":"ON THE RELATIONSHIP BETWEEN THE CLASS OF A LIE ALGEBRA AND THE CLASSES OF ITS SUBALGEBRAS","display_name":"ON THE RELATIONSHIP BETWEEN THE CLASS OF A LIE ALGEBRA AND THE CLASSES OF ITS SUBALGEBRAS","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W2146230035","doi":"https://doi.org/10.1142/s0218196708004275","mag":"2146230035"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196708004275","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196708004275","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/A5044625962","display_name":"Suthathip Suanmali","orcid":"https://orcid.org/0000-0001-7775-7384"},"institutions":[{"id":"https://openalex.org/I108108428","display_name":"Thammasat University","ror":"https://ror.org/002yp7f20","country_code":"TH","type":"education","lineage":["https://openalex.org/I108108428"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"SUTHATHIP SUANMALI","raw_affiliation_strings":["Sirindhorn International Institute of Technology, Thammasat University, Thailand"],"affiliations":[{"raw_affiliation_string":"Sirindhorn International Institute of Technology, Thammasat University, Thailand","institution_ids":["https://openalex.org/I108108428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044625962"],"corresponding_institution_ids":["https://openalex.org/I108108428"],"apc_list":null,"apc_paid":null,"fwci":0.5139,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.6653163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"18","issue":"01","first_page":"83","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9130859375},{"id":"https://openalex.org/keywords/lie-conformal-algebra","display_name":"Lie conformal algebra","score":0.6585860252380371},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5440269708633423},{"id":"https://openalex.org/keywords/graded-lie-algebra","display_name":"Graded Lie algebra","score":0.5387585759162903},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5096280574798584},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5033931136131287},{"id":"https://openalex.org/keywords/adjoint-representation-of-a-lie-algebra","display_name":"Adjoint representation of a Lie algebra","score":0.4878692626953125},{"id":"https://openalex.org/keywords/nilpotent-group","display_name":"Nilpotent group","score":0.47229912877082825},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.4670250415802002},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4196990728378296},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.41576775908470154},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.3820793032646179},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.061828047037124634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.04344204068183899}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9130859375},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"score":0.6585860252380371},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5440269708633423},{"id":"https://openalex.org/C144091092","wikidata":"https://www.wikidata.org/wiki/Q3611543","display_name":"Graded Lie algebra","level":3,"score":0.5387585759162903},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5096280574798584},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5033931136131287},{"id":"https://openalex.org/C203946495","wikidata":"https://www.wikidata.org/wiki/Q1017106","display_name":"Adjoint representation of a Lie algebra","level":4,"score":0.4878692626953125},{"id":"https://openalex.org/C206219070","wikidata":"https://www.wikidata.org/wiki/Q1755242","display_name":"Nilpotent group","level":3,"score":0.47229912877082825},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.4670250415802002},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4196990728378296},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.41576775908470154},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.3820793032646179},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.061828047037124634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.04344204068183899},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196708004275","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196708004275","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":[{"id":"https://openalex.org/F4320310013","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1558312901","https://openalex.org/W1976833814","https://openalex.org/W1992884202","https://openalex.org/W2060156854","https://openalex.org/W2071119680","https://openalex.org/W2087155096","https://openalex.org/W2153525410"],"related_works":["https://openalex.org/W2009463956","https://openalex.org/W2252882271","https://openalex.org/W2900958380","https://openalex.org/W2805462606","https://openalex.org/W2368159258","https://openalex.org/W3148960415","https://openalex.org/W2963137553","https://openalex.org/W2035614726","https://openalex.org/W2061373821","https://openalex.org/W2367114592"],"abstract_inverted_index":{"A":[0],"classical":[1],"nilpotency":[2],"result":[3],"considers":[4],"finite":[5],"p-groups":[6,86],"whose":[7],"proper":[8],"subgroups":[9],"all":[10],"have":[11],"class":[12,40],"bounded":[13],"by":[14],"a":[15,36,73,82],"fixed":[16],"number":[17],"n.":[18],"We":[19],"consider":[20],"the":[21,39,42,54,68,85],"analogous":[22],"property":[23],"in":[24],"nilpotent":[25],"Lie":[26,43,55,76,88],"algebras.":[27],"In":[28],"particular,":[29],"we":[30],"investigate":[31],"whether":[32],"this":[33],"condition":[34],"puts":[35],"bound":[37],"on":[38],"of":[41,70],"algebra.":[44],"Some":[45],"p-group":[46],"results":[47],"and":[48,64,87],"proofs":[49,63],"carry":[50,59],"over":[51,60],"directly":[52],"to":[53,80],"algebra":[56,77,89],"case,":[57],"some":[58,65],"with":[61],"modified":[62],"fail.":[66],"For":[67],"final":[69],"these":[71],"cases,":[72],"certain":[74],"metabelian":[75],"is":[78],"constructed":[79],"show":[81],"case":[83],"when":[84],"cases":[90],"differ.":[91]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}