Results 51 to 60 of about 88 (85)

On skew derivations and generalized skew derivations in Banach algebras

open access: yes, 2021
Let be a unital prime Banach algebra over ℝ or ℂ with centre and G1,G2 be open subsets of , F : → be a continuous linear generalized skew derivation, and D : → be a continuous linear map.
Alhazmi, Husain   +3 more
core  

On Equality of Certain Derivations of Lie Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita   +2 more
doaj   +1 more source

Lie ideals and derivations of σ-prime rings”, [PDF]

open access: yes, 2007
Let R be a 2-torsion free σ-prime ring with involution σ, U a nonzero Lie ideal of R and d : R −→ R a nonzero derivation commuting with σ.
L Oukhtite, S Salhi
core  

Multiplicative *-Lordan type higher derivations on Von Neumann algebras

open access: yes, 2021
Let  be a von Neumann algebra without nonzero central abelian projections on a complex Hilbert space . Let pn (X 1 , X 2 , · · ·, Xn ) be the polynomial defined by n indeterminates X 1,
Ashraf, Mohammed   +2 more
core  

Approximation of additive functional equations in NA Lie C*-algebras

open access: yesDemonstratio Mathematica, 2018
In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
doaj   +1 more source

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

open access: yesOpen Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source

A Generalized Higher Reverse Left (respectively Right) Centralizer on Prime Gamma-Rings

open access: yes, 2019
This study introduces the concepts of generalized higher reverse left (respectively right) centralizer , Jordan generalized higher reverse left (respectively right) centralizer and Jordan triple generalized higher reverse left (respectively right ...
Salih, Salah Mehdi   +1 more
core   +1 more source

On Generalized Derivations of Semiprime Rings

open access: yes, 2010
The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R , we obtain R contains a non-zero central ideal .
Mehsin Jabel Atteya
core  

Cofinite derivations in rings [PDF]

open access: yes
A derivation d : R → R is called cofinite if its image Im d is a subgroup of finite index in the additive group R of an associative ring R. We characterize left Artinian (respectively semiprime) rings with all non-zero inner derivations to be cofinite.
Artemovych, O. D.
core  

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