{"id":"https://openalex.org/W7204257508","doi":"https://doi.org/10.30598/barekengvol20iss4pp3109-3122","title":"HOMODERIVATIONS ON LIE RINGS","display_name":"HOMODERIVATIONS ON LIE RINGS","publication_year":2026,"publication_date":"2026-08-24","ids":{"openalex":"https://openalex.org/W7204257508","doi":"https://doi.org/10.30598/barekengvol20iss4pp3109-3122"},"language":"en","primary_location":{"id":"doi:10.30598/barekengvol20iss4pp3109-3122","doi":"https://doi.org/10.30598/barekengvol20iss4pp3109-3122","is_oa":true,"landing_page_url":"https://doi.org/10.30598/barekengvol20iss4pp3109-3122","pdf_url":"https://ojs3.unpatti.ac.id/index.php/barekeng/article/download/22070/13167","source":{"id":"https://openalex.org/S4210230638","display_name":"BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN","issn_l":"1978-7227","issn":["1978-7227","2615-3017"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BAREKENG: Jurnal Ilmu Matematika dan Terapan","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ojs3.unpatti.ac.id/index.php/barekeng/article/download/22070/13167","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119177451","display_name":"Suffi Nuralesa","orcid":"https://orcid.org/0009-0009-8539-4152","observed_orcids":["https://orcid.org/0009-0009-8539-4152"]},"institutions":[{"id":"https://openalex.org/I11855966","display_name":"Diponegoro University","ror":"https://ror.org/056bjta22","country_code":"ID","type":"education","lineage":["https://openalex.org/I11855966"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Suffi Nuralesa","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia"],"raw_orcid":"https://orcid.org/0009-0009-8539-4152","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia","institution_ids":["https://openalex.org/I11855966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128856201","display_name":"Galang Riki Ramadhan","orcid":"https://orcid.org/0009-0003-3928-2949","observed_orcids":["https://orcid.org/0009-0003-3928-2949"]},"institutions":[{"id":"https://openalex.org/I11855966","display_name":"Diponegoro University","ror":"https://ror.org/056bjta22","country_code":"ID","type":"education","lineage":["https://openalex.org/I11855966"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Galang Riki Ramadhan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia"],"raw_orcid":"https://orcid.org/0009-0003-3928-2949","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia","institution_ids":["https://openalex.org/I11855966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5117481485","display_name":"Carolus Pasha Lazuardi Jituprasojo Hatmakelana","orcid":"https://orcid.org/0009-0009-8334-619X","observed_orcids":["https://orcid.org/0009-0009-8334-619X"]},"institutions":[{"id":"https://openalex.org/I165230279","display_name":"Universitas Gadjah Mada","ror":"https://ror.org/03ke6d638","country_code":"ID","type":"education","lineage":["https://openalex.org/I165230279"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Carolus Pasha Lazuardi Jituprasojo Hatmakelana","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Indonesia"],"raw_orcid":"https://orcid.org/0009-0009-8334-619X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Indonesia","institution_ids":["https://openalex.org/I165230279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119177454","display_name":"Nurul Fadhilah","orcid":"https://orcid.org/0009-0007-4517-8805","observed_orcids":["https://orcid.org/0009-0007-4517-8805"]},"institutions":[{"id":"https://openalex.org/I11855966","display_name":"Diponegoro University","ror":"https://ror.org/056bjta22","country_code":"ID","type":"education","lineage":["https://openalex.org/I11855966"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Nurul Fadhilah","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia"],"raw_orcid":"https://orcid.org/0009-0007-4517-8805","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia","institution_ids":["https://openalex.org/I11855966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119474976","display_name":"Benediktus Panji Pradipta","orcid":"https://orcid.org/0009-0000-7413-726X","observed_orcids":["https://orcid.org/0009-0000-7413-726X"]},"institutions":[{"id":"https://openalex.org/I11855966","display_name":"Diponegoro University","ror":"https://ror.org/056bjta22","country_code":"ID","type":"education","lineage":["https://openalex.org/I11855966"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Benediktus Panji Pradipta","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia"],"raw_orcid":"https://orcid.org/0009-0000-7413-726X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia","institution_ids":["https://openalex.org/I11855966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054935769","display_name":"Nikken Prima Puspita","orcid":"https://orcid.org/0000-0002-0127-2628","observed_orcids":["https://orcid.org/0000-0002-0127-2628"]},"institutions":[{"id":"https://openalex.org/I11855966","display_name":"Diponegoro University","ror":"https://ror.org/056bjta22","country_code":"ID","type":"education","lineage":["https://openalex.org/I11855966"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Nikken Prima Puspita","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia"],"raw_orcid":"https://orcid.org/0000-0002-0127-2628","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia","institution_ids":["https://openalex.org/I11855966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.64077769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"4","first_page":"3109","last_page":"3122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9984999895095825,"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":0.9984999895095825,"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":0.0010000000474974513,"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/T12504","display_name":"Mathematics and Applications","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lie-rings","display_name":"Lie rings","score":1.0},{"id":"https://openalex.org/keywords/lie-brackets","display_name":"Lie brackets","score":0.7680000066757202}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7659000158309937},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6327999830245972},{"id":"https://openalex.org/C145620117","wikidata":"https://www.wikidata.org/wiki/Q2989763","display_name":"Commutator","level":4,"score":0.5605000257492065},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.5593000054359436},{"id":"https://openalex.org/C14344131","wikidata":"https://www.wikidata.org/wiki/Q5478310","display_name":"Lie bracket of vector fields","level":5,"score":0.524399995803833},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5059000253677368},{"id":"https://openalex.org/C58910974","wikidata":"https://www.wikidata.org/wiki/Q1017106","display_name":"Adjoint representation","level":3,"score":0.4846999943256378},{"id":"https://openalex.org/C22365015","wikidata":"https://www.wikidata.org/wiki/Q1003162","display_name":"Simple Lie group","level":3,"score":0.4754999876022339},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.45010000467300415},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.4458000063896179},{"id":"https://openalex.org/C133769200","wikidata":"https://www.wikidata.org/wiki/Q174565","display_name":"Bracket","level":2,"score":0.4440000057220459},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C5106717","wikidata":"https://www.wikidata.org/wiki/Q3427416","display_name":"Fundamental representation","level":4,"score":0.4237000048160553},{"id":"https://openalex.org/C186489112","wikidata":"https://www.wikidata.org/wiki/Q763735","display_name":"Representation of a Lie group","level":3,"score":0.3912999927997589},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.36959999799728394},{"id":"https://openalex.org/C203946495","wikidata":"https://www.wikidata.org/wiki/Q1017106","display_name":"Adjoint representation of a Lie algebra","level":4,"score":0.3686000108718872},{"id":"https://openalex.org/C2777043060","wikidata":"https://www.wikidata.org/wiki/Q386597","display_name":"Prime ring","level":3,"score":0.336899995803833},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3147999942302704},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3142000138759613},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31189998984336853},{"id":"https://openalex.org/C143135876","wikidata":"https://www.wikidata.org/wiki/Q357300","display_name":"Lie theory","level":5,"score":0.3057999908924103},{"id":"https://openalex.org/C174696410","wikidata":"https://www.wikidata.org/wiki/Q7301156","display_name":"Real form","level":5,"score":0.28220000863075256},{"id":"https://openalex.org/C99634282","wikidata":"https://www.wikidata.org/wiki/Q634557","display_name":"Killing form","level":5,"score":0.27790001034736633},{"id":"https://openalex.org/C144091092","wikidata":"https://www.wikidata.org/wiki/Q3611543","display_name":"Graded Lie algebra","level":3,"score":0.26190000772476196},{"id":"https://openalex.org/C5475112","wikidata":"https://www.wikidata.org/wiki/Q632521","display_name":"Affine Lie algebra","level":4,"score":0.2565000057220459},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2529999911785126}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.30598/barekengvol20iss4pp3109-3122","doi":"https://doi.org/10.30598/barekengvol20iss4pp3109-3122","is_oa":true,"landing_page_url":"https://doi.org/10.30598/barekengvol20iss4pp3109-3122","pdf_url":"https://ojs3.unpatti.ac.id/index.php/barekeng/article/download/22070/13167","source":{"id":"https://openalex.org/S4210230638","display_name":"BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN","issn_l":"1978-7227","issn":["1978-7227","2615-3017"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BAREKENG: Jurnal Ilmu Matematika dan Terapan","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:506218d41f574392bca248fb819b92c1","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/506218d41f574392bca248fb819b92c1","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,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Barekeng, Vol 20, Iss 4 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.30598/barekengvol20iss4pp3109-3122","doi":"https://doi.org/10.30598/barekengvol20iss4pp3109-3122","is_oa":true,"landing_page_url":"https://doi.org/10.30598/barekengvol20iss4pp3109-3122","pdf_url":"https://ojs3.unpatti.ac.id/index.php/barekeng/article/download/22070/13167","source":{"id":"https://openalex.org/S4210230638","display_name":"BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN","issn_l":"1978-7227","issn":["1978-7227","2615-3017"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BAREKENG: Jurnal Ilmu Matematika dan Terapan","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323452","display_name":"Universitas Diponegoro","ror":"https://ror.org/056bjta22"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204257508.pdf","grobid_xml":"https://content.openalex.org/works/W7204257508.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W2021332266","https://openalex.org/W2073385899","https://openalex.org/W2766108299","https://openalex.org/W3046943832","https://openalex.org/W4296234677","https://openalex.org/W4309617567","https://openalex.org/W4362544524","https://openalex.org/W4389677783","https://openalex.org/W4400164013","https://openalex.org/W4401349087","https://openalex.org/W4402130119"],"related_works":["https://openalex.org/W7128755876","https://openalex.org/W7204267593","https://openalex.org/W4406311253","https://openalex.org/W4389677783","https://openalex.org/W7160681668","https://openalex.org/W4389431257","https://openalex.org/W4407253992","https://openalex.org/W7159893314","https://openalex.org/W7067310660","https://openalex.org/W4394975911"],"abstract_inverted_index":{"Let":[0],"be":[1],"a":[2,16,35,39,80,85,98,109],"set":[3,50],"equipped":[4],"with":[5,65],"two":[6],"binary":[7,67],"operations,":[8],"addition":[9,70],"and":[10,71],"multiplication":[11,21],".":[12,31,48,58],"The":[13,49],"triple":[14],"is":[15,22,38,55,74,94,107],"Lie":[17,24,36,110,128],"ring":[18,37,129],"if":[19],"its":[20],"the":[23,43,62,66,88,102,105,124],"bracket":[25,103],"commutator":[26],"defined":[27],"by":[28,57],"for":[29,46],"every":[30],"A":[32],"homoderivation":[33],"on":[34,54],"mapping":[40],"that":[41,76,96],"satisying":[42],"equation":[44],",":[45],"all":[47,52],"of":[51,64,69,119,123,127],"homoderivations":[53,120],"denoted":[56],"This":[59],"paper":[60,115],"investigates":[61],"structure":[63,106],"operations":[68],"composition.":[72],"It":[73],"shown":[75,95],"does":[77],"not":[78],"form":[79],"ring.":[81,99,111],"Therefore,":[82],"we":[83],"introduce":[84],"subset":[86],"satisfying":[87],"property.":[89],"Under":[90],"this":[91,114],"condition,":[92],"it":[93],"forms":[97],"Furthermore,":[100],"using":[101],"operator,":[104],"also":[108],"In":[112],"addition,":[113],"formulates":[116],"an":[117],"iteration":[118],"in":[121],"terms":[122],"sigma":[125],"sum":[126],"elements.":[130]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-27T00:00:00"}
