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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, Ick-Soon Chang, Hark-Mahn Kim   +2 more
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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
doaj   +1 more source

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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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, Matthew Pickering, Nicolas Wu   +2 more
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Automatic Continuity of Some Types of Double Derivations on Semisimple Banach Algebras [PDF]

مجلة التربية والعلم, 2019
Following Villena in [9] and Mohammed and Ali in [4], we introduce partially defined ( ) - c - double derivation and generalized ( ) - c - double derivation on a semisimple complex Banach algebra whose domain is not necessarily closed, essential ideal ...
Amir A. Mohammed A. Mohammed, Lamia K. Ismail   +1 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
openaire   +4 more sources

COMMUTATIVITY FOR THE WEAKLY RIGHT CANCELLATIVE SEMIRINGS: AN ENTIRELY NOVEL CATEGORY OF SEMIRINGS AND A WEAK CONDITION FOR COMMUTATIVITY RESEARCH [PDF]

Journal of Algebraic Systems
The goal of this study is to provide an innovation for commutativity research that is less than the strong condition prime ring. This paper will describe weakly right cancellative semirings and examine how commutativity and generalized derivations apply ...
Kamal Charrabi Charrabi, Abdellah Mamouni, Bader Nejjar   +2 more
doaj   +1 more source