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Some results on near-rings with generalized derivations
(2005)
n merkezi Z olan bir sağ asal near-halka, f : N $\rightarrow$TV tanımlı d ile ilgili bir genelleştirilmiş türev olsun. Bu durumda: (i) Eğer $f^2(N) = 0$ ise f = 0 dır. (ii) Eğer $f(N)\subset Z$ ise N değişmeli bir halkadır, ...
On left ideals of prime rings with generalized derivations
(2005)
In this paper the author considers a prime ring R with characteristic different from two and extends some well known results concerning derivations of prime rings to the generalized derivation f : R —> R ...
Notes on commutativity of prime rings with generalized derivation
(2009)
Bu çalışmada, [2] ve [8] makalelerinde genelleştirilmiş türevli asal halkalar için elde edilen sonuçlar, sıfırdan farklı bir Lie ideal için incelenmiştir.
On a theorem of Posner for 3-prime near-rings with $(\sigma,\tau)$ derivation
(2007)
The analog of Posner's theorem on the composition of two derivations in prime rings is proved for 3-prime near-rings with $d_1 a (\sigma,\tau)$-derivation and $d_2$ a derivation.
On generalized derivations of prime near-rings
(2006)
Let N be a 2-torsion free prime near-ring with center Z, (f; d) and (g, h) two generalized derivations on N. In this case: (i) If f([x; y]) = 0 or f([x; y]) = $\pm$[x; y] or $f^2(x)\in Z$ for all x; y $\in$ N, then N is a ...