Browsing by Author "Öznur Gölbaşı"
Now showing items 1-13 of 13
-
Generalized derivations on Lie ideals in prime rings
Öznur Gölbaşı; Emine Koç (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 ... -
Lie Ideals of Semiprime Rings with Generalized Derivations
Emine Koç Söğütcü; Öznur Gölbaşı (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 ... -
Notes on commutativity of prime rings with generalized derivation
Öznur Gölbaşı; Emine Koç (2009)Bu çalışmada, [2] ve [8] makalelerinde genelleştirilmiş türevli asal halkalar için elde edilen sonuçlar, sıfırdan farklı bir Lie ideal için incelenmiştir. -
Notes on near-ring ideals with (?, ? )-derivation
Öznur Gölbaşı; Hasret Yazarlı (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 ?-(?,?)-Lie ideals of ?-prime rings with derivation
Neşet Aydın; Emine Koç; Öznur Gölbaşı (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 ... -
On a theorem of Posner for 3-prime near-rings with $(\sigma,\tau)$ derivation
Öznur Gölbaşı (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 Gamma Ring of Quotients of a Semiprime Gamma Ring
Shuliang Huang; Öznur Gölbaşı; Emine Koç (2017)Bu makalenin amacı yarıasal bir gamma halkasının kesirli gamma halkalarını tanımlamak ve kesirli gamma halkasının bazı özelliklerini araştırmaktır. -
On generalized derivations of prime near-rings
Öznur Gölbaşı (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 ... -
On left ideals of prime rings with generalized derivations
Öznur Gölbaşı (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 ... -
On Semigroup Ideals of Prime Near-Rings with Semiderivation
Serhat Durucu; Öznur Gölbaşı (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 ... -
RESULTS ON ?CENTRALIZERS OF PRIME AND SEMIPRIME RINGS WITH INVOLUTION
Emine Koç; Öznur Gölbaşı (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 ... -
Some results on near-rings with generalized derivations
Öznur Gölbaşı (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, ... -
Yarı-asal Halkalarda Ortogonal Yarı-türevler Üzerine
Öznur Gölbaşı; Fatih Bilgin (2016)Bu makalede, "?bir 2-torsion free yarı-asal halka, ?ve h,?örten fonksiyonu ile belirlenmiş sıfırdan farklıiki yarı-türev olmak üzere ?ve hın ortogonal olmasıiçin gerek ve yeter koşuli) ?h=0,ii) ?h+h?=0,iii) her ???için ...