Results 41 to 50 of about 69 (69)

On Additivity and Multiplicativity of Centrally Extended (α, β)‐Higher Derivations in Rings

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, the concept of centrally extended (α, β)‐higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals. Also, we prove that in semiprime rings with no nonzero central ideals, every centrally extended (α, β)‐higher derivation is an (α, β)‐higher derivation.
O. H. Ezzat, Attila Gil nyi
wiley   +1 more source

A Note on Multiplicative (Generalized) (α, β)-Derivations in Prime Rings

Annales Mathematicae Silesianae, 2019
Let R be a prime ring with center Z(R). A map G : R →R is called a multiplicative (generalized) (α, β)-derivation if G(xy)= G(x)α(y)+β(x)g(y) is fulfilled for all x; y ∈ R, where g : R → R is any map (not necessarily derivation) and α; β : R → R are ...
Rehman Nadeem ur, Al-omary Radwan M., Muthana Najat Mohammed   +2 more
doaj   +1 more source

Semigroup ideal in Prime Near-Rings with Derivations

مجلة بغداد للعلوم, 2011
In this paper we generalize some of the results due to Bell and Mason on a near-ring N admitting a derivation D , and we will show that the body of evidence on prime near-rings with derivations have the behavior of the ring.
Baghdad Science Journal
doaj   +1 more source

On certain functional equation related to derivations

Open Mathematics
In this article, we prove the following result. Let n≥3n\ge 3 be some fixed integer and let RR be a prime ring with char(R)≠(n+1)!2n−2{\rm{char}}\left(R)\ne \left(n+1)\!{2}^{n-2}.
Marcen Benjamin, Vukman Joso
doaj   +1 more source

On Equality of Certain Derivations of Lie Algebras

Discussiones Mathematicae - General Algebra and Applications, 2019
Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita, Saeedi Farshid, Alemi Mohammad Reza   +2 more
doaj   +1 more source

Approximation of additive functional equations in NA Lie C*-algebras

Demonstratio Mathematica, 2018
In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
doaj   +1 more source

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source

Outcomes of fertility preservation treatments in patients with endometrial cancer with different molecular classifications based on an NGS panel. [PDF]

Front Oncol, 2023
Xu Y, Zhao M, Zhang L, Wang T, Wang B, Xue Y, Xu Z, Shao W, Chen X, Wang C.   +9 more
europepmc   +1 more source

Explicit expression of Cartan’s connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere

Open Mathematics, 2012
Merker Joël, Sabzevari Masoud
doaj   +1 more source

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Jordan derivations of alternative rings

Communications in Algebra, 2020
Feng Wei, Bruno Ferreira, Henrique Guzzo   +2 more
exaly