Results 11 to 20 of about 769,088 (289)

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 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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On derivations and generalized derivations of bitonic algebras

Applicable Analysis and Discrete Mathematics, 2018
We introduce the notion of bitonic algebras as a generalization of dual BCCalgebras, and define the notion of (r,l)-derivations, (l,r)-derivations and generalized (r,l) and (l,r)-derivations on the bitonic algebras. Then we study the properties of the derivations and the generalized derivations on the bitonic algebras and the commutative ...
Yon, Y.H., Ayar Ozbal, S.
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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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Generalized Derivations of BF-Algebras [PDF]

Academic Science Journal
In this paper, we introduced the concept of generalized derivations of an algebraic structure namely BF-algebras and studied some of its basic properties.
Mohammed Khalid Shahoodh
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Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (I) [PDF]

Journal of Inequalities and Applications, 2009
We discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module. Let 𝒜 be a Banach algebra and X a Banach 𝒜-module, f:X→X and g:𝒜→𝒜.
Huai-Xin Cao, Ji-Rong Lv, J. M. Rassias
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Superstability of Generalized Higher Derivations [PDF]

Abstract and Applied Analysis, 2011
We define the notion of an approximate generalized higher derivation and investigate the superstability of strong generalized higher derivations.
T. L. Shateri
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Hyers-Ulam-Rassias stability of generalized derivations [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
The generalized Hyers-Ulam-Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.
Mohammad Sal Moslehian
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Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations

Mathematics
In 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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