Generalized Higher Derivations on Lie Ideals of Triangular Algebras
Authors: Mohammad Ashraf ; Nazia Parveen ; Bilal Ahmad Wani
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Mohammad Ashraf;Nazia Parveen;Bilal Ahmad Wani
Let be the triangular algebra consisting of unital algebras A and B over a commutative ring R with identity 1 and M be a unital (A; B)-bimodule. An additive subgroup L of A is said to be a Lie ideal of A if [L;A] ⊆ L. A non-central square closed Lie ideal L of A is known as an admissible Lie ideal. The main result of the present paper states that under certain restrictions on A, every generalized Jordan triple higher derivation of L into A is a generalized higher derivation of L into A.
Boua, Abdelkarim; Abdelwanis, Ahmed Y.; Ur Rehman, Nadeem, 2021, On Higher Derivations Of Partially Ordered Sets, Annals Of The Alexandru Ioan Cuza University - Mathematics, 67, 2, pp. 319-330, 10.47743/anstim.2021.00023.