Results 241 to 250 of about 422,853 (267)

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
openaire   +1 more source

Identities in $3$-prime near-rings with left multipliers

2018
Let $mathcal{N}$ be a $3$-prime near-ring with the center$Z(mathcal{N})$ and $n geq 1$ be a fixed positive integer. Inthe present paper it is shown that a $3$-prime near-ring$mathcal{N}$ is a commutative ring if and only if it admits aleft multiplier $mathcal{F}$ satisfying any one of the followingproperties: $(i):mathcal{F}^{n}([x, y])in Z(mathcal{N})$
Ashraf, M., Boua, A.
openaire   +1 more source

Posner and herstein theorems for derivations of 3-prime near-rings

Communications in Algebra, 1996
The analog of Posner's theorem on the composition of two derivations in prime rings is proved for 3-prime near-rings. It is shown that if d is a nonzero derivation of a 2-torsionfree 3-prime near-ring N and an element a ∊ N is such that axd = xda for all x ∊ N, then a is a central element.
K. I. Beidar, Y. Fong, X. K. Wang
openaire   +1 more source

LEFT MULTIPLIERS IN A 3-PRIME NEAR-RING

JP Journal of Algebra, Number Theory and Applications, 2021
Mouhssine, Samir, Boua, Abdelkarim
openaire   +2 more sources

Some algebraic identities in 3-prime near-rings

Advances in Pure and Applied Mathematics
Summary: In this paper, we study the commutativity of 3-prime near-rings satisfying some differential identities on Jordan ideals involving certain additive maps. Some well-known results characterizing the commutativity of 3-prime nearrings by derivations and left multipliers are extended to right multipliers and left generalized derivations ...
En-guady, Adel, Boua, Abdelkarim, Raji, Abderrahmane   +2 more
openaire   +1 more source

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
openaire   +1 more source

Γ-n-Derivations on Semigroup Ideals on Prime Γ-Near-Rings

Advances in Intelligent Systems and Computing, 2021
Abdulrahman H Majeed
exaly  

Structure of Prime Near Rings with Generalized Derivations

Springer Proceedings in Mathematics and Statistics, 2022
Ali Asma
exaly  

A module theoretic characterization of the prime radical of near-rings

Beitrage Zur Algebra Und Geometrie, 2017
Srinivasa Rao Ravi, Siva Prasad Korrapati   +1 more
exaly