Now showing items 1-13 of 13

• #### Generalized derivations on Lie ideals in prime rings ﻿

Let R be a prime ring with characteristic di&amp;#64256;erent 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)] &amp;#8712; Z, for ...
• #### Lie Ideals of Semiprime Rings with Generalized Derivations ﻿

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 ﻿

Bu çalışmada,  ve  makalelerinde genelleştirilmiş türevli asal halkalar için elde edilen sonuçlar, sıfırdan farklı bir Lie ideal için incelenmiştir.
• #### Notes on near-ring ideals with (?, ? )-derivation ﻿

In the present paper, we extend some well known results concerning derivations of prime near-rings in ,  and  to (&amp;#963;, &amp;#964; )&amp;#8722;derivations and semigroup ideals of prime near-rings. 2000 AMS ...
• #### On ?-(?,?)-Lie ideals of ?-prime rings with derivation ﻿

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 ﻿

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 ﻿

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 ﻿

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 ﻿

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 &amp;#8212;&gt; R ...
• #### On Semigroup Ideals of Prime Near-Rings with Semiderivation ﻿

 te J. Bergen tarafından bir halkanın yarıtürevi tanımlanmıştır. ,  ve  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 ﻿

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 ﻿

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 ﻿

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 ...