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Integrated on-chip quantum light sources on a van der Waals platform

Munkhbat B, Metuh P, Wyborski P, Paralikis A, Schröder F, Stenger N, Gregersen N.   +6 more
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On multiplicative derivations in 3-prime near-rings

Beitrage Zur Algebra Und Geometrie, 2023
A nearring \(N\) is called 3-prime if \(xNy=0\) implies \(x=0\) or \(y=0\). A multiplicative derivation is a map \(d:N\to N\) with \(d(xy)=xd(y)+ d(x)y\). Note that additivity is not required. Let \(N\) be a 3-prime nearring. The author shows that under various conditions, the existence of non-zero multiplicative derivations enforce \(N\) to be a ...
Abderrahmane Raji
exaly   +2 more sources

Semigroup Ideals and Commutativity in 3-prime Near Rings

Communications in Algebra, 2015
The purpose of this paper is to study derivations and generalized derivations satisfying certain identities on semigroup ideals of near-rings. Some well-known results characterizing commutativity of 3-prime near-rings by derivations have been generalized by using semigroup ideals.
Lahcen Oukhtite, A Boua, H E Bell
exaly   +2 more sources

Generalized (α, β)-derivations in 3-prime near-rings

Journal of Discrete Mathematical Sciences and Cryptography, 2023
Let  be a 3-prime near-ring and  are endomorphisms. In this paper, we generalize a few results concerning generalized derivations and two sided α -generalized derivations of 3-prime near rings to generalized (α, β) -derivations. Cases demonstrating the need of the 3-primeness speculation is given. When  (resp.
Abdelkarim Boua
exaly   +2 more sources

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

On derivations and commutativity in prime near-rings [PDF]

Journal of Taibah University for Science, 2014
In the present paper it is shown that zero symmetric prime right near-rings satisfying certain identities are commutative ...
Abdelkarim Boua, Abderrahmane Raji
exaly   +2 more sources

Some Algebraic Identities in 3-Prime Near-Rings

Ukrainian Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boua, A., Ashraf, M.
openaire   +1 more source

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
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On Prime and Semiprime Near-Rings with Generalized Derivation [PDF]

Quaestiones Mathematicae, 2010
Let N be a left near-ring and S be a nonempty subset of N. A mapping F from N to N is called commuting on S if [F(x),x] = 0 for all x S. The mapping F is called strong commutativity preserving (SCP) on S if [F(x),F(y)] = [x,y] for all x, y S.
Oznur GÖLBAŞI
exaly   +2 more sources