Results 241 to 250 of about 343,956 (260)

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

On two sided α-n-derivation in 3-prime near-rings

Acta Mathematica Hungarica, 2018
Let N be a left near-ring and let α be a function of N. We introduce the notion of two sided α-n-derivation and prove that a prime zero symmetric near-ring involving α-n-derivations satisfying certain identities is a commutative ring.Also, some examples are given to shown that the 3-primeness condition in our results is not redundant.
L. Oukhtite, A. Raji
openaire   +1 more source

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

On applications of two-sided α-generalized derivations to 3-prime near-rings

Communications in Algebra, 2020
Ibtesam Alshammari, Fuad Ali Ahmed Almahdi   +1 more
exaly  

A non-ideal-hereditary Kurosh–Amitsur prime radical for near-rings

Afrika Matematika, 2021
Srinivasa Rao Ravi, Siva Prasad Korrapati   +1 more
exaly  

Prime Ideals in Near-Rings

Results in Mathematics, 1993
Henry Heatherly, Heatherly Henry, Gary Birkenmeier   +2 more
exaly  

Generalized two sided α-derivations in 3-prime near-rings

Journal of Taibah University for Science, 2015
Lahcen Oukhtite
exaly