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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 derivations of prime gamma rings
(2002)
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
(2001)
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
(2005)
Öztürk [7] 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
(2004)
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
(2002)
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
(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 ...
Spectral decompositions and feasible directions in the axial three-index assigment problem
(2000)
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
(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.