Search
Now showing items 1-10 of 11
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 ?-(?,?)-Lie ideals of ?-prime rings with derivation
(2018)
Let R be a ??prime ring with characteristic not 2, U be a nonzero ??(?,?)?Lie ideal of R and d be a nonzero derivation of R. Suppose ?,? be two automorphisms of R such that ?d = d?,?d = d? and ? commutes with ?,?,d. In the ...
Notes on near-ring ideals with (?, ? )-derivation
(2015)
In the present paper, we extend some well known results concerning derivations of prime near-rings in [4], [5] and [13] to (σ, τ )−derivations and semigroup ideals of prime near-rings. 2000 AMS ...
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 ...
Lie Ideals of Semiprime Rings with Generalized Derivations
(2018)
Let R be a 2-torsion free semiprime ring, U a noncentral square-closed Lie ideal of R. A map F:R?R is called a generalized derivations if there exists a derivation d:R?R such that F(xy) = F(x)y + xd(y) for all x,y?R. In ...
On Semigroup Ideals of Prime Near-Rings with Semiderivation
(2017)
[5] te J. Bergen tarafından bir halkanın yarıtürevi tanımlanmıştır. [2], [3] ve [4] de türevli asal yakın halkaların komütatifliği ile ilgili bazı sonuçlar elde edilmiştir. Bu makalede, d g toplamsal dönüşümü ile belirlenmiş ...
Generalized derivations on Lie ideals in prime rings
(2011)
Let R be a prime ring with characteristic different from two, U a nonzero Lie ideal of R and f be a generalized derivation associated with d. We prove the following results: (i) If [u, f(u)] ∈ Z, for ...
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.
RESULTS ON ?CENTRALIZERS OF PRIME AND SEMIPRIME RINGS WITH INVOLUTION
(2017)
Let R be a prime or semiprime ring equipped with an involutionand be an automorphism of R: An additive mapping T : R R iscalled a left (resp. right)T (xy) =of R. A left (resp. right) Jordanmapping such that T x2= T (x) (x ...