{"title":"Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras","authors":"Fei Ma, Min Yin","doi":"10.7153/oam-2023-17-10","DOIUrl":null,"url":null,"abstract":". Let Alg L be a completely distributive commutative subspace lattice algebra and let δ : Alg L → Alg L be a nonlinear map. It is shown that δ is a multiplicative generalized Lie n -derivation on Alg L with an associated multiplicative generalized Lie n -derivation d if and only if δ ( A ) = ψ ( A )+ ξ ( A ) holds for every A ∈ Alg L , where ψ : Alg L → Alg L is an additive generalized derivation and ξ : Alg L → Z ( Alg L ) is a central-valued map vanishing on each ( n − 1 ) -th commutator p n ( A 1 , A 2 , ··· , A n ) .","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2023-17-10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. Let Alg L be a completely distributive commutative subspace lattice algebra and let δ : Alg L → Alg L be a nonlinear map. It is shown that δ is a multiplicative generalized Lie n -derivation on Alg L with an associated multiplicative generalized Lie n -derivation d if and only if δ ( A ) = ψ ( A )+ ξ ( A ) holds for every A ∈ Alg L , where ψ : Alg L → Alg L is an additive generalized derivation and ξ : Alg L → Z ( Alg L ) is a central-valued map vanishing on each ( n − 1 ) -th commutator p n ( A 1 , A 2 , ··· , A n ) .
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