{"title":"Local derivations and Rota-Baxter operators of quantum Lotka-Volterra algebras on M_2(C)","authors":"I. Qaralleh, F. Mukhamedov","doi":"10.56947/gjom.v17i1.2000","DOIUrl":null,"url":null,"abstract":"In this paper, we thoroughly investigate the local and 2-local derivations of a flow of quantumgenetic Lotka-Volterra algebras on M2(C) (FQGLV-A). The analysis is mainly geared towards understanding how specific parameter values influence the properties of these derivations. Our findings elucidate the structural intricacies of FQGLV-A algebras and bridge gaps in the current understanding of local and 2-local derivations. We prove that any local derivation is indeed a derivation. Furthermore, the set of2-local deviations coincide with the set of deviations.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":" 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v17i1.2000","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we thoroughly investigate the local and 2-local derivations of a flow of quantumgenetic Lotka-Volterra algebras on M2(C) (FQGLV-A). The analysis is mainly geared towards understanding how specific parameter values influence the properties of these derivations. Our findings elucidate the structural intricacies of FQGLV-A algebras and bridge gaps in the current understanding of local and 2-local derivations. We prove that any local derivation is indeed a derivation. Furthermore, the set of2-local deviations coincide with the set of deviations.
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