Results 31 to 40 of about 129 (68)

On $(\Phi , m)$-homoderivations in Rings

European Journal of Pure and Applied Mathematics
In this article, we examine the commutativity of a ring $\Omega$ endowed with a specific kind of mappings called centrally extended $(\Phi, m)$-homoderivations, where $\Phi$ is a mapping on $\Omega$, and $m$ is an integer.  This mapping is a comprehensive kind of the homoderivation, $\Phi- $homoderivation, and $ m $-homoderivation.  Besides, we provide
Mahmoud M. EL-Soufi, Munerah Almulhem, M. S. Tammam EL-Sayiad   +2 more
openaire   +1 more source

On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber, Zakia Z. Al-Amery, Radwan M. Al-Omary, Khaled Aldwoah, Ria Egami, Pramita Mishra   +5 more
wiley   +1 more source

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

Solutions and Stability of Triple Homoderivations Associated With Mixed 3D-Jensen and Additive Functional Equations

International Journal of Mathematics and Mathematical Sciences
In this paper, we introduce a new concept called mixed 3D-Jensen and additive functional equations FEs. In the following, we demonstrate that they are additive mappings and we show that they can be C-linear.
Iman Bahreini, Javad Izadi
doaj   +1 more source

On nilpotent homoderivations in semi-prime rings

Boletim da Sociedade Paranaense de Matemática
Let $R$ be an associative ring and let $s \geq 1$ be a fixed integer. An additive map $h$ on $R$ is called a homoderivation if $h(xy) = h(x)h(y) + h(x)y + xh(y)$ holds for all $x, y \in R.$ In \cite{Chung83,Chung84,Luh84}, Chung and Luh proved several results about the nilpotency of derivations in semi-prime rings. Similarly, the main objective of this
Lahcen Taoufiq, Said Belkadi
openaire   +1 more source

On rings with homoderivations involving prime ideal

Bu çalışmada halkalar ve homotürevler ile ilgili genel bilgiler verilmiş ve halkaların homotürevleri üzerine bazı yeni sonuçlar elde edilmiştir. Daha açık bir ifadeyle, ?? bir halka, ??, ?? halkasının sıfırdan farklı bir asal ideali, h: ?? › ??
Türkmen, Fatih
core   +1 more source

Relationship Between a Homoderivation and a Semi-Derivation

Journal of New Theory
Let $\wp$ be a ring. It is shown that if an additive mapping $\vartheta$ is a zero-power valued on $\wp$, then $\alpha:\wp\rightarrow\wp$ such that $\alpha=\vartheta+1$ is a bijective mapping of $\wp.$ The main aim of this study is to prove that $\vartheta$ is a homoderivation of $\wp$ if and only if $\vartheta:\wp\rightarrow\wp$ such that $\vartheta ...
openaire   +4 more sources

Characterization of the center of a prime Banach algebra by its homoderivations

Boletim da Sociedade Paranaense de Matemática
Let X be a Banach algebra. The value of the present article focuses on the fact that, first, it presents detailed informations about zero-power valued maps on X ,second, it provides characterization to the center of X via its homoderivations. Finally, we include some examples to show that various restrictions in the hypothesis of our theorems are not ...
Mohamed Moumen, Lahcen Taoufiq
openaire   +1 more source

Commutativity criteria for 3-prime near-rings via zero-power valued homoderivations

Boletim da Sociedade Paranaense de Matemática
In this work, we discuss the commutativity of a 3-prime near-ring N that satisfies some algebraic identities under the action of a homoderivation. Additionally, we provide examples to illustrate that the 3- primeness and zero-power valued conditions imposed in our theorems are essential and cannot be disregarded.
Slimane El Amrani, Abderrahmane Raji
openaire   +1 more source

Homoderivations in rings

Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez çalışmasında ?? karakteristiği ikiden farklı bir asal halka, ??, ?? halkasının merkezi olmayan kare kapalı bir Lie ideali ve ??: ?? ? ?? tanımlı ??
Sarıkaya, Ayşen
core   +1 more source