Results 21 to 30 of about 72 (43)

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
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Homoderivations and ideals in rings

, 2023
Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalı, Matematik Bilim DalıBu çalışmada homotürevler üzerine bazı sonuçlar elde edilmiştir. Başka bir ifadeyle R bir asal halka, I,R halkasının sıfırdan farklı bir ideali, h:R?R bir homotürev olmak üzere ...
Erdem, Yeşim Şahin
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On centrally-extended $ n $-homoderivations on rings

AIMS Mathematics
In this article, we explored the commutativity of a ring $ \Lambda $ that is equipped with a unique class of mappings called centrally extended $ n $-homoderivations, where $ n $ is an integer. These mappings generalize the concepts of derivations and homoderivations. Furthermore, we investigated specific properties of the center of such rings.
M. S. Tammam El-Sayiad, Munerah Almulhem
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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
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Quotient near-rings involving P -homoderivations

Annals of the Alexandru Ioan Cuza University - Mathematics
Let N be a near-ring and P be a 3-prime ideal of N . This paper introduces a novel concept known as P-homoderivation and investigates the commutativity of the quotient near-ring N /P when N has a P-homoderivation satisfying certain distinction identities. In addition, we extend several known results related to 3-prime near-rings with homoderivations.
openaire   +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 ...
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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
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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
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ON HOMODERIVATIONS AND IDEALS IN RINGS

, 2023
Koç Sögütcü, Emine, Şahin Erdem, Yeşim   +1 more
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Commutativity Conditions On Lie Ideals In Prime Rıngs Of Homoderivations

, 2023
KOÇ SÖGÜTCÜ, EMİNE
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