Results 21 to 30 of about 73 (46)

On zero-power valued homoderivations in 3-prime near-rings

Boletim da Sociedade Paranaense de Matemática, 2022
We will start this article by proving a crucial concept, which will allow us to overcome a set of obstacles we encountered in previous articles concerning the commutativity of near-ring involving homoderivations and Jordan ideals. Furthermore, we present examples to show that limitations imposed in the hypothesis of our results are necessary.
Adel En-guady, Samir Mouhssine, Abdelkarim Boua   +2 more
openaire   +2 more sources

Additivity and Central Behavior of CE-Generalized Homoderivations in Associative Rings

Journal of Mathematics
This study examines the commutativity of a ring R endowed with a special class of mappings termed centrally extended generalized homoderivations. These mappings serve as an extension of several existing concepts, including homoderivations, generalized ...
Hicham Saber, Hafedh Alnoghashi, Radwan M. Al-Omary, Khaled Aldwoah, Bakri Younis, M. I. Elashiry   +5 more
doaj   +1 more source

Homoderivations and Their Impact on Lie Ideals in Prime Rings

Natural and Applied Sciences Journal, 2023
Assume we have a prime ring denoted as $R$, with a characteristic distinct from two. The concept of a homoderivation refers to an additive map $Η$ of a ring $R$ that satisfies the property $Η(r_1 r_2 )=Η(r_1 ) r_2+r_1 Η(r_2 )+Η(r_1 )Η(r_2 )$, $\forall r_1,r_2 \in R$.
openaire   +3 more sources

A study of homoderivations in 3-prime near-rings with centralizing constraints

Algebra and Discrete Mathematics
Abderrahmane Raji
exaly   +2 more sources

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
openaire   +2 more sources

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

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

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Lie right ideals in 3-prime near-rings with generalized homoderivations

Afrika Matematika
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdelkarim Boua
exaly   +4 more sources

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.
Abdelkarim Boua
exaly   +2 more sources

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
openaire   +1 more source