2010/03/13 by Madjid Mirzavaziri · 2 citations
Mathematics · #Advanced Topics in Algebra #Rings, Modules, and Algebras #Algebraic structures and combinatorial models
paper · doi:10.1080/00927870902828751
Abstract Let 𝒜 be an algebra. A sequence d n of linear mappings on 𝒜 is called a higher derivation if for each a, b ∈ 𝒜 and each non-negative integer n. In this article, we show that if d n is a higher derivation on an algebra 𝒜 such that d 0 is the identity mapping on 𝒜, then there is a sequence δ n of derivations on 𝒜 such that where the inner summation is taken over all positive integers r j with . Key Words: AlgebraDerivationHigher derivation(σ, τ)-derivation2000 Mathematics Subject Classification: 16W25 Notes Communicated by M. Bresar.