Results 11 to 20 of about 26,485 (265)

Generalized Jordan N-Derivations of Unital Algebras with Idempotents

Journal of Mathematics, 2021
Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
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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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Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings

Discussiones Mathematicae - General Algebra and Applications, 2021
Let R be a noncommutative prime ring of char (R) ≠ 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R. Let S ⊆ R.
Rahaman Md Hamidur
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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, Sheon-Young Kang, Hark-Mahn Kim   +2 more
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AN IDENTITY WITH GENERALIZED DERIVATIONS

Journal of Algebra and Its Applications, 2009
Let R be a prime ring that is not commutative and such that R ≇ M2( GF (2)), let D, G be two generalized derivations of R, and let m, n be two fixed positive integers. Then D(xm)xn= xnG(xm) for all x ∈ R iff the following two conditions hold: (1) There exists w ∈ Q, the symmetric Martindale quotient ring of R, such that D(x) = xw and G(x) = wx for all ...
Lee, T.-K., Zhou, Y.
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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., Ashraf Mohammad, Jabeen Aisha   +2 more
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Some Identities Related to Semiprime Ideal of Rings with Multiplicative Generalized Derivations

Axioms
This 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, Emine Koç Sögütcü, Öznur Gölbaşı, Nadeem ur Rehman   +3 more
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Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings [PDF]

Journal of Mahani Mathematical Research
The 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, Faiza Shujat, Muzibur Mozumder, Wasim Ahmed   +3 more
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A Note on the Trace of Generalized Permuting Tri-Derivations

Cumhuriyet Science Journal
Many 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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On generalized Peano derivatives [PDF]

Transactions of the American Mathematical Society, 1983
A function F F is said to have a generalized
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