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Superstability of Generalized Derivations [PDF]
Journal of Inequalities and Applications, 2010 We investigate the superstability of the functional equation f(xy)=xf(y)+g(x)y, where f and g are the mappings on Banach algebra A. We have also proved the superstability of generalized derivations associated to the linear functional equation f(γx+
Esmaeil Ansari-Piri, Ehsan Anjidani
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Generalized Derivations of Prime Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 Let R be an associative prime ring, U a Lie ideal such that u2∈U for all u∈U. An additive function F:R→R is called a generalized derivation if there exists a derivation d:R→R such that F(xy)=F(x)y+xd(y) holds for all x,y∈R. In this paper, we prove that
Huang Shuliang
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Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations
MathematicsIn the paper, we investigate the commutativity of a two-torsion free prime ring R provided with generalized derivations, and some well-known results that characterize the commutativity of prime rings through generalized derivations have been generalized.
Mingxing Sui, Quanyuan Chen
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Generalized derivations of Lie triple systems
Open Mathematics, 2016 In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
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Almost Generalized Derivation on Banach Algebras
Mathematics, 2022 We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras.
Jae-Hyeong Bae +2 more
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Commutativity Results on Prime Rings With Generalized Derivations [PDF]
Engineering and Technology Journal, 2016 Let R be a prime ring. For nonzero generalized derivations F and G associated with the same derivation d, we prove that if d≠0, then R is commutative, if any one of the following conditions hold: (1) [F(x), G(y)] 0, (2) F(x)oG(y) 0, (3) F(x)oG(y ...
A. Majeed, Shaima,a Yass
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Generic deriving of generic traversals [PDF]
Proceedings of the ACM on Programming Languages, 2018 Functional programmers have an established tradition of using traversals as a design pattern to work with recursive data structures. The technique is so prolific that a whole host of libraries have been designed to help in the task of automatically providing traversals by analysing the generic structure of data types. More recently, lenses have entered
Csongor Kiss +2 more
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Generalized Left Derivations with Identities on Near-Rings
مجلة بغداد للعلوم, 2023 In this paper, new concepts which are called: left derivations and generalized left derivations in nearrings have been defined. Furthermore, the commutativity of the 3-prime near-ring which involves some algebraic identities on generalized left ...
Enaam Farhan
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Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products
Journal of Mathematics, 2022 Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product.
Abbas Zivari-Kazempour, Abasalt Bodaghi
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Generalized derivations and generalized exponential monomials on hypergroups [PDF]
Opuscula Mathematica, 2023 In one of our former papers "Endomorphisms of the measure algebra of commutative hypergroups" we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra.
Żywilla Fechner +2 more
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