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Some results on near-rings with generalized derivations
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 derivations of prime gamma rings
We consider some results in a $Gamma$ - ring M with derivation which is related to Q, and the quotient $Gamma$ - ring of M.
On the centroid of the prime gamma rings II
The aim of this paper is to study the properities of the extended centroid of the prime $\Gamma$-rings. Main results are the following theorems: (1) Let M be a simple $\Gamma$-ring with unity. Suppose that for some a$\neq$0 ...
Tri-additive maps and permuting tri-derivations
Öztürk  de asal ve yarı-asal halkalar üzerinde permuting tri-türevlerle ilgili bazı sonuçlar ispatladı. Biz s-unital halkalar üzerinde çarpık-kommuting veya çarpık-merkezleyen izli tri-toplamsal dönüşümleri çalıştık ve ...
On Jordan generalized derivations in gamma rings
In this study, We define a generalized derivation and a Jordan generalized derivation on F-rings and show that a Jordan generalized derivation on some F-rings is a generalized derivation.
Characterizations of Artinian and Noetherian gamma-rings in terms of fuzzy ideals
Using fuzzy ideals, characterizations of Noetherian $Gamma$ -rings are given, and a condition for a $Gamma$ -ring to be Artinian is also given.
On left ideals of prime rings with generalized derivations
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 &#8212;> R ...
Spectral decompositions and feasible directions in the axial three-index assigment problem
In this paper, we give some results on the spectral decomposition and generalized inverse of the matrix A which is the coefficient matrix of the axial three-index assignment problem and investigate relations between ...
Notes on commutativity of prime rings with generalized derivation
Bu çalışmada,  ve  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
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.