Results 241 to 250 of about 105,746 (263)

Left multipliers and commutativity of 3-prime near-rings

MATHEMATICA, 2023
Our objective in this paper is to study the structure of 3-prime near-rings satisfying some algebraic properties.
Boua, Abdelkarim, Davvaz, Bijan
openaire   +2 more sources

A study of near-rings with generalized derivations [PDF]

Journal of Taibah University for Science, 2015
In the present paper it is shown that 3-prime left near-rings satisfying certain identities involving generalized derivations are commutative rings.
Lahcen Oukhtite, A Boua
exaly   +2 more sources

On Semigroup Ideals and Left Generalized (ɵ,ɵ)-4- Derivations in Prime Near-Rings

International Journal of Mathematics Trends and Technology, 2018
openaire   +3 more sources

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

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 related to left generalized derivations in near-rings

Asian-European Journal of Mathematics
In this paper, we studied commutative near-rings through identities involving a mapping known as the left generalized derivation. Our results generalize several well-known findings in the literature, including those in references [M. Ashraf and A. Boua, Identities in [Formula: see text]-prime near-rings with left multipliers, J. Algebra Relat. Topics 6(
Abdelkarim Boua, Enaam Farhan
openaire   +1 more source

Identities and left cancellation in distributively generated near-rings

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1980
AbstractGiven a semigroup S, we define {N(S), +, ·} to be the ‘free’ distributively generated near-ring. Since all words in N(S) can be expressed as the sum and difference of elements of S, we are able to define a length function on the words of N(S). The following theorems then follow: Theorem 1.
openaire   +2 more sources

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

Maximal left ideals in near-rings of continuous functions on disconnected groups

Geometriae Dedicata, 1991
Let N(G) denote the near-ring of all continuous selfmaps of a topological group G. In this paper we determine the maximal left ideals of N(G) for certain classes of disconnected groups G.
openaire   +1 more source

Generalized derivations on near-rings with identities

Journal of Discrete Mathematical Sciences and Cryptography, 2022
exaly