Results 1 to 10 of about 25 (25)

Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations

Open Mathematics, 2020
In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
doaj   +1 more source

Jordan {g,h}-derivations on triangular algebras

Open Mathematics, 2020
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on τ(N)\tau ({\mathscr{N}}) is a {g,h ...
Kong Liang, Zhang Jianhua
doaj   +1 more source

σ-derivations on generalized matrix algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
Let 𝒭 be a commutative ring with unity, 𝒜, 𝒝 be 𝒭-algebras, 𝒨 be (𝒜, 𝒝)-bimodule and 𝒩 be (𝒝, 𝒜)-bimodule. The 𝒭-algebra 𝒢 = 𝒢(𝒜, 𝒨, 𝒩, 𝒝) is a generalized matrix algebra defined by the Morita context (𝒜, 𝒝, 𝒨, 𝒩, ξ𝒨𝒩, Ω𝒩𝒨).
Jabeen Aisha, Ashraf Mohammad, Ahmad Musheer   +2 more
doaj   +1 more source

Left Derivable Maps at Non-Trivial Idempotents on Nest Algebras

Annales Mathematicae Silesianae, 2019
Let Alg 𝒩 be a nest algebra associated with the nest 𝒩 on a (real or complex) Banach space 𝕏. Suppose that there exists a non-trivial idempotent P ∈ Alg 𝒩 with range P (𝕏) ∈ 𝒩, and δ : Alg 𝒩 → Alg 𝒩 is a continuous linear mapping (generalized) left ...
Ghahramani Hoger, Sattari Saman
doaj   +1 more source

Characterization of derivations on strongly double triangle subspace lattice algebras by local actions

Open Mathematics
Let D $\mathcal{D}$ be a strongly double triangle subspace lattice on a nonzero complex reflexive Banach space and AlgD $\text{Alg}\mathcal{D}$ the associated subspace lattice algebra. Assume that F,G∈AlgD $F,G\in \text{Alg}\mathcal{D}$ and set R(F,G)=
Qin Zijie
doaj   +1 more source

Lie (Jordan) centralizers on generalized matrix algebras

Communications in Algebra, 2021
Aisha Jabeen
exaly  

On nonlinear Lie centralizers of generalized matrix algebras

Linear and Multilinear Algebra, 2022
Lei Liu
exaly  

Lie-type derivations of finitary incidence algebras

Rocky Mountain Journal of Mathematics, 2020
Feng Wei, Mykola Khrypchenko
exaly  

Characterizations of n-Jordan homomorphisms

Linear and Multilinear Algebra, 2018
Guangyu An
exaly  

Jordan derivations of incidence algebras

Rocky Mountain Journal of Mathematics, 2015
Zhankui Xiao
exaly