Results 21 to 30 of about 58 (39)

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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Lie right ideals and homoderivations in 3-Prime Near-Ring

Boletim da Sociedade Paranaense de Matemática
In this article, we study the structure of a near-rings N involving a homoderivations satisfying certain constraints on a nonzero Lie right ideal of near ...
Abdelkarim Boua, Oznur Golbasi, Samir Mouhssine   +2 more
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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.
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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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The commutativity of prime rings with homoderivations

International Journal of ADVANCED AND APPLIED SCIENCES, 2018
E. F. Alharfie, N. M. Muthana
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On n-Jordan homoderivations in rings

Georgian Mathematical Journal, 2023
Abstract Let R be a ring and let n ≥ 1 {n\geq 1}
Said Belkadi, Shakir Ali, Lahcen Taoufiq
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Homoderivations and semigroup ideals in 3-prime near-rings

2021
Summary: This paper studies homoderivations satisfying certain conditions on semigroup ideals of near-rings. In addition, we include some examples of the necessity of the hypotheses used in our results.
Mouhssine, Samir, Boua, Abdelkarim
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Left generalized homoderivations in 3-prime near-rings

Journal of Discrete Mathematical Sciences and Cryptography
In this paper, the structure of 3-prime near-rings with left generalized homoderivation satisfying certain conditions on a semigroup ideal will be investigated. After that, we’ll provide examples to explain why the hypotheses used in the various results are necessary.
Samir Mouhssine, Abdelkarim Boua
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Lie right ideals in 3-prime near-rings with generalized homoderivations

Afrika Matematika
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Boua, Abdelkarim, Zerbane, Abdlilah, Gölbaşi, Öznur   +2 more
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