Results 21 to 30 of about 28,002 (293)
Generalized Derivations on Prime Near Rings
International Journal of Mathematics and Mathematical Sciences, 2013 Let N be a near ring. An additive mapping f:N→N is said to be a right generalized (resp., left generalized) derivation with associated derivation d on N if f(xy)=f(x)y+xd(y) (resp., f(xy)=d(x)y+xf(y)) for all x,y∈N.
Asma Ali, Howard E. Bell, Phool Miyan
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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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On Functional Inequalities Originating from Module Jordan Left Derivations
Journal of Inequalities and Applications, 2008 We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear
Ick-Soon Chang +2 more
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Nonlinear generalized Jordan (σ, Γ)-derivations on triangular algebras
Special Matrices, 2018 Let R be a commutative ring with identity element, A and B be unital algebras over R and let M be (A,B)-bimodule which is faithful as a left A-module and also faithful as a right B-module.
Alkenani Ahmad N. +2 more
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Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings [PDF]
Journal of Mahani Mathematical ResearchThe purpose of this research is to demonstrate the following assertions: an additive mapping $\mathcal{H}$ is a generalized ($\zeta, \xi$)-derivation associated with a ($\zeta, \xi$)-derivation ${\bf h}$, where $\zeta, \xi$ are endomorphisms on a $(m+n+p-
Abu Zaid Ansari +3 more
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Superstability of Generalized Derivations [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esmaeil Ansari-Piri, Ehsan Anjidani
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Some Identities Related to Semiprime Ideal of Rings with Multiplicative Generalized Derivations
AxiomsThis paper investigates the relationship between the commutativity of rings and the properties of their multiplicative generalized derivations. Let F be a ring with a semiprime ideal Π. A map ϕ:F→F is classified as a multiplicative generalized derivation
Ali Yahya Hummdi +3 more
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On Lie ideals satisfying certain differential identities in prime rings
Extracta Mathematicae, 2023 Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F : R → R, G : R → R be generalized derivations associated with derivations d : R → R, g : R → R respectively.
B. Dhara, S. Ghosh, G.S. Sandhu
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A Note on the Trace of Generalized Permuting Tri-Derivations
Cumhuriyet Science JournalMany researchers have studied permuting tri-derivation and generalized derivation in prime or semi-prime rings, BCK-algebras, lattices, d-algebras, MV-algebras and many algebraic structures. Later, they introduced the concept of generalized permuting tri-
Süleyman Zortaş, Hasret Yazarlı
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Generalized (theta, theta)- Semi-derivations of Prime Near-rings
Wasit Journal of Computer and Mathematics ScienceThe concept of differential algebra has been initiated before many years ago. This research topic has inspired a lot of authors to its study with different algebraic structures such as rings or semi-rings.
mohd Shahoodh, Omar Kareem Ali
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