Results 31 to 40 of about 70 (50)

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
openaire   +2 more sources

Generalized homoderivations and their orthogonal properties

Journal of Interdisciplinary Mathematics
This paper investigates the orthogonality of generalized homoderivation mappings in semiprime rings, with an emphasis on specific identities involving their product and composition. The concept of orthogonal generalized homoderivations is introduced, broadening the scope of previously established results.
Zahraa S. M. Alhaidary, Anwar Khaleel Faraj   +1 more
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Homoderivations and their impact on the structure of prime and semiprime rings

Asian-European Journal of Mathematics
In this paper, we explore the properties of rings and their prime ideals within the framework of homoderivations. We present four important theorems that define conditions under which certain algebraic structures display specific behaviors. These findings deepen our understanding of the relationship between homoderivations and the structural ...
M. A. Idrissi, A. Mamouni, N. Rahime
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On nilpotent homoderivations in prime rings

Communications in Algebra, 2023
Said Belkadi, Shakir Ali, Lahcen Taoufiq
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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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On Square-Closed Lie Ideals and Generalized Homoderivations in Prime Rings

Integra: Journal of Integrated Mathematics and Computer Science
Let M be a square-closed noncentral Lie ideal of a prime ring R with char(R) ≠ 2. An additive mapping G on R is defined as a generalized homoderivation if it satisfies G(στ) = G(σ) h(τ) + G′(σ) y + x h(τ) for all σ and τ in R. This paper focuses on studying generalized homoderivations of prime rings using square-closed Lie ideals that satisfy certain ...
null G. Naga Malleswari, null S. Sreenivasulu   +1 more
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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.
Boua, Abdelkarim, Zerbane, Abdlilah, Goelbasi, Oeznur   +2 more
openaire   +3 more sources

Certain commutativity criteria for 3-prime near-rings via homoderivations

MATHEMATICA
n this work, we study the commutativity of 3-prime near-rings admitting homoderivations that satisfy certain conditions. Additionally, we offer a counter example to demonstrate that the assumption of 3-primeness in our theorems is crucial.
SLIMANE EL AMRANI, ABDERRAHMANE RAJI
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HOMODERIVATIONS OF s-PRIME G-RINGS

Advances in Mathematics: Scientific Journal, 2020
Sh. K. Said Husain, K. K. Dey
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