Results 11 to 20 of about 28,002 (293)

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 Generalized Permuting Left 3-Derivations of Prime Rings [PDF]

Engineering and Technology Journal, 2017
-Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
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Action of multiplicative (generalized)-derivations and related maps on square closed Lie ideals in prime rings

Математичні Студії
Let $\mathcal{R}$ be a prime ring and $L$ a nonzero square closed Lie ideal of $\mathcal{R}$. Suppose $F,G,H\colon \mathcal{R}\to \mathcal{R}$\break are three multiplicative (generalized)-derivations associated with the maps $\delta,g, h\colon \mathcal{R}
B. Dhara
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Semi-derivation on prime hyperrings [PDF]

Journal of Hyperstructures, 2023
In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.Then, we derive some properties of semi ...
Nikhil D. Sonone, Kishor F. Pawar
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Identities on additive mappings in semiprime rings

Математичні Студії, 2023
Consider a ring $R$, which is semiprime and also having $k$-torsion freeness. If $F, d : R\to R$ are two additive maps fulfilling the algebraic identity $$F(x^{n+m})=F(x^m) x^n+ x^m d(x^n)$$ for each $x$ in $R.$ Then $F$ will be a generalized derivation ...
A. Z. Ansari, N. Rehman
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Generalized Dependent Elements of Generalized Reverse Derivation on Semiprime Rings [PDF]

Engineering and Technology Journal, 2018
Let R be an associative ring, and Š:RR be a map, if there existsan element eR such that Š(u)e= [u,e]e, for every uR, in this case e is calledGeneralized Dependent Element of Š, and Ğ-D(Š) denote the set of allGeneralized Dependent Elements of Š.
Shaimaa 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
Kiss, Csongor, Pickering, Matthew, Wu, Nicolas   +2 more
openaire   +5 more sources

Lie triple derivations of dihedron algebra

Frontiers in Physics, 2023
Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
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On Generalized Left Derivation on Semiprime Rings [PDF]

Engineering and Technology Journal, 2016
Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x ...
A. Majeed, Shaima,a Yass, a B. Yass
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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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