[PDF] Top 20 On Prime Near Rings with Generalized Derivation

... to generalized derivations, even if N is a ...a generalized derivation with associated derivation given by Dx xi − ix, and that fxfy fyfx for all x, y ∈ ... See full document

... a derivation on 𝑅 which is either an endomorphism or an antiendomorphism on 𝑅, then 𝑑 = ...any derivation 𝑑 behaves as the zero endomorphism on the subring 𝐶 consisting of all constants ...a prime ... See full document

... associated derivation d if F (xy) = F (x)y + xd(y), for all x, y ∈ N and F is called a left generalized derivation with associated derivation d if F(xy) = d(x)y + xF (y), for all x, y ∈ N ...a ... See full document

... 3-prime near-rings admitting different types of derivations, generalized derivations, generalized multiplicative derivations( for reference see [1, 3, 4, 5, 6, 7, 8, 9], where further ... See full document

... 3-prime near-rings by using derivations was initiated by Bell and Mason in 1987 in ...from rings to near-rings with derivations in ...the near-ring in his work in ...a ... See full document

... 3-prime near-rings was initiated by using derivations by ...3-prime near-rings admitting different types of derivations, generalized derivations, generalized ... See full document

... semi prime rings have been studied by Samman and Alyamani ...semi prime rings by using reverse ...semi prime ring initiated by Bresar and Vukman ...orthogonal generalized ... See full document

... a derivation on if '(() = '()( + ('() holds for all , ∈ and ( ∈ ...a generalized derivation if there exists a derivation ': → such that (() = ()( + ('() holds for all , ∈ and ( ∈ ...left ... See full document

... of prime rings with derivations was initiated by ...studied generalized derivations in prime ...a derivation such that ([ , ]) = [ , ] for all , ∈ , then ⊆ ( ...left generalized ... See full document

... a prime ring R is often tightly connected to the behavior of additive mappings defined on ...a derivation of a 2-torsion free prime ring R which acts as a homomorphism or anti-homomorphism on a ... See full document

... a generalized derivation of R if there exists a derivation d : R → R such that Fxy Fxy xdy for all x, y ∈ ...is prime ring, R must be commutative, provided d / ... See full document

... a near –ring and is a mapping on N ...in near-ring N and we determine some conditions of right ( , )-4-derivation which make prime near-ring commutative ring ... See full document

... of near rings, rings were introduced by ...The derivation of a near ring has been introduced by Bell and ...in prime and semiprime rings admitting suitably constrained ... See full document

... A well-known result proven by Posner 1 states that if dx, x, y 0 for all x, y ∈ R, then R is commutative. In 2, Lanski generalized this result of Posner to the Lie ideal. Lanski proved that if U is a ... See full document

... a near –ring and is a mapping on N ...in near-ring N and we determine some conditions of ( , )-3-derivation and semigroup ideals which make prime near-ring commutative ring ... See full document

... of derivation on ...that rings in which derivations satisfy certain algebraic ...of generalized derivation in ring introduced by Braser [10] and Hvala ...of derivation further carried ... See full document

... be prime with𝑐ℎ𝑎𝑟 𝑅 ≠ 2, (0) ≠ 𝐿 be a square closed Lie ideal of 𝑅 and 0 ≠ 𝐹, 𝐺: 𝑅 → 𝑅 are generalized 𝛼 − derivations associated with 𝛼 − derivations 𝑑 and 𝑔 respectively such that 𝑠 ∈ 𝑍(𝐿)|0 ≠ 𝑑 𝑠 , 0 ≠ 𝑔 ... See full document

... additive function F : R → R is called a generalized derivation if there exists a derivation d : R → R such that F(xy) = F(x)y + xd(y) holds for all x, y ∈ R. In this paper, we prove that d = 0 or U ⊆ ... See full document

... a prime Γ-near-ring, f a nonzero generalized derivation of N associated with the nonzero derivation d and a ∈ ...a prime Γ-near-ring and d / 0, we obtain a ... See full document

... Let R be a prime ring and I be a non zero ideal of R. Suppose that F, G, H : R → R are generalized derivations associated with derivations d, g, h respectively. If the following holds (i)F ... See full document