Identities with generalized derivations on Lie ideals and Banach algebras
-
Abderrahman Hermas
and
Lahcen Oukhtite
Abstract
Let 𝑅 be a prime ring and 𝐿 a non-central Lie ideal of 𝑅. In this paper, we aim to classify the generalized derivations of 𝑅 satisfying some algebraic identities with power values on 𝐿. Moreover, the same identities are studied locally on a two nonvoid open subsets of a prime Banach algebra.
Acknowledgements
The authors would like to thank the referee for the valuable suggestions and comments.
References
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Articles in the same Issue
- Frontmatter
- Additivity of multiplicative (generalized) skew semi-derivations on rings
- On statistical convergence of order α in partial metric spaces
- Generalized derivations over amalgamated algebras along an ideal
- Numerical radii of operator matrices in terms of certain complex combinations of operators
- Centralizing identities involving generalized derivations in prime rings
- Two presentations of a weak type inequality for geometric maximal operators
- Existence and exponential stability of solutions for a Balakrishnan–Taylor quasilinear wave equation with strong damping and localized nonlinear damping
- Identities with generalized derivations on Lie ideals and Banach algebras
- Essential norm of Riemann–Stieltjes operator on weighted Bergman spaces with doubling weights
- Concerning the Nakayama property of a module
- Multiplicity result for a (p(x),q(x))-Laplacian-like system with indefinite weights
- Finite groups in which some particular invariant subgroups are TI-subgroups or subnormal subgroups
- The Dirichlet problem in an infinite layer for a system of differential equations with shifts
- Signless Laplacian spectrum of the cozero-divisor graph of the commutative ring ℤ𝑛
- A new fuzzy approach of vehicle routing problem for disaster-stricken zones
