Generalized Lie n-derivations of triangular algebras
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DOI: 10.1080/00927872.2019.1617875
Abstract: Abstract Let be a triangular algebra. We show that under suitable assumptions every generalized Lie n-derivation associated with a linear map is of the form where and Δ is a Lie n-derivation of We solve… read more here.
Keywords: derivations triangular; lie derivations; triangular algebras; generalized lie ... See more keywords
Local and 2-local Lie n-derivations of triangular algebras
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DOI: 10.1080/00927872.2024.2346303
Abstract: Abstract Let R be a commutative ring with identity, and A,B be unital algebras over R. Let M be a unital (A,B)-bimodule, which is faithful as a left A-module and also as a right B-module.… read more here.
Keywords: lie derivations; algebra; local lie; derivations triangular ... See more keywords
Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras
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DOI: 10.1134/s0037446618040146
Abstract: We prove that each 2-local derivation from the algebra Mn(A ) (n > 2) into its bimodule Mn(M) is a derivation, where A is a unital Banach algebra and M is a unital A -bimodule… read more here.
Keywords: local lie; derivation; lie derivations; characterization local ... See more keywords