Browsing by Author "Golbasi, Oznur"
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Generalized derivations on Lie ideals in prime rings
Golbasi, Oznur; Koc, Emine (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, 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)] is an element of Z, for all u ... 
MULTIPLICATIVE GENERALIZED DERIVATIONS ON LIE IDEALS IN SEMIPRIME RINGS II
Koc, Emine; Golbasi, Oznur (UNIV MISKOLC INST MATH, 2017)Let R be a semiprime ring and L is a Lie ideal of R such that L 6 not subset of Z(R) A map F : R > R is called a multiplicative generalized derivation if there exists a map d : R > R such that F(xy) = F(x)y + x d(y), for ... 
A NOTE ON (sigma,tau)DERIVATIONS OF RINGS WITH INVOLUTION
Koc, Emine; Golbasi, Oznur (UNIV MISKOLC INST MATH, 2014)Let R be a 2torsion free simple *ring and D: W R > R be an additive mapping satisfiying D(xx) = D(x)sigma(x*) +tau(x)D(X*) for all x epsilon R: Then D is (sigma,tau)derivation of R or R is S4 ring. Also, if R is a ... 
Notes On Generalized (sigma, tau)Derivation
Golbasi, Oznur; Koc, Emine (C E D A M SPA CASA EDITR DOTT ANTONIO MILANI, 2010)Let R be a prime ring with charR not equal 2 and let sigma, tau be automorphisms of R. An additive mapping f : R > R is called a generalized (sigma, tau)derivation if there exists a (sigma, tau)derivation d : R > R ... 
Notes on Jordan (sigma, tau)*derivations and Jordan triple (sigma, tau)*derivations
Golbasi, Oznur; Koc, Emine (SPRINGER BASEL AG, 2013)Let R be a 2torsion free semiprime *ring, sigma, tau two epimorphisms of R and f, d : R > R two additive mappings. In this paper we prove the following results: (i) d is a Jordan (sigma, tau)*derivation if and only if ... 
Notes on nearring ideals with (sigma,tau)derivation
Golbasi, Oznur; Yazarli, Hasret (HACETTEPE UNIV, FAC SCI, 2015)In the present paper, we extend some well known results concerning derivations of prime nearrings in [4], [5] and [13] to (sigma,tau)derivations and semigroup ideals of prime nearrings. 
On (*)(sigma, T)Lie ideals of (*)prime rings with derivation
Aydin, Neset; Koc, Emine; Golbasi, Oznur (HACETTEPE UNIV, FAC SCI, 2018)Let R be a (*)prime ring with characteristic not 2, U be a nonzero (*) (sigma, tau)Lie ideal of R and d be a nonzero derivation of R. Suppose sigma, tau be two automorphisms of R such that sigma d = d sigma, tau d = d ... 
ON (sigma, tau)LIE IDEALS WITH GENERALIZED DERIVATION
Golbasi, Oznur; Koc, Emine (KOREAN MATHEMATICAL SOC, 2010)In the present paper, we extend some well known results concerning derivations of prime rings to generalized derivations for (sigma, tau)Lie ideals. 
ON COMMUTATIVITY OF PRIME NEARRINGS WITH MULTIPLICATIVE GENERALIZED DERIVATION
Bedir, Zeliha; Golbasi, Oznur (ANKARA UNIV, FAC SCI, 2019)In the present paper, we shall prove that 3 nearring N is commutative ring, if any one of the following conditions are satis.ed: (i) f(N) subset of Z; (ii) f([x; y]) = 0; (iii) f([x; y]) = +/[x; y]; (iv) f([x; y]) = ... 
ON COMMUTATIVITY OF SEMIPRIME RINGS WITH GENERALIZED DERIVATIONS
Golbasi, Oznur (SCIENTIFIC PUBLINDIA, 2009)Let R be an associative ring. An additive mapping f : R > R is called a generalized derivation if there exists a derivation d : R > R such that f (xy) f (x)y + xd(y), for all x, y E R. In this paper, we explore the ... 
ON LIE IDEALS AND GENERALIZED DERIVATIONS OF *PRIME RINGS
Huang, Shuliang; Golbasi, Oznur (UNIV MISKOLC INST MATH, 2013)Let (r, *) be a 2torsion free *prime ring with involution * and center Z (R), U a nonzero square closed *Lie ideal of R. An additive mapping F W R! R is called a generalized derivation if there exits a derivation d WR ... 
On Prime and Semiprime NearRings with Generalized Derivation
Golbasi, Oznur (NATL INQUIRY SERVICES CENTRE PTY LTD, 2010)Let N be a left nearring and S be a nonempty subset of N. A mapping F from N to N is called commuting on S if [F(x),x] = 0 for all x S. The mapping F is called strong commutativity preserving (SCP) on S if [F(x),F(y)] = ... 
ON RINGS OF QUOTIENTS OF SEMIPRIME GammaRINGS
Koc, Emine; Golbasi, Oznur (UNIV MISKOLC INST MATH, 2012)In this paper, we investigate the rings of quotients of a semiprime Gammaring. 
RESULTS ON alpha*CENTRALIZERS OF PRIME AND SEMIPRIME RINGS WITH INVOLUTION
Koc, Emine; Golbasi, Oznur (ANKARA UNIV, FAC SCI, 2017)Let R be a prime or semiprime ring equipped with an involution * and alpha be an automorphism of R. An additive mapping T : R > R is called a left (resp. right) alpha()*centralizer of R if T (xy) = T (x)alpha (y*) (resp. ... 
Some results on ideals of semiprime rings with multiplicative generalized derivations
Koc, Emine; Golbasi, Oznur (TAYLOR & FRANCIS INC, 2018)Let R be a semiprime ring and I a nonzero ideal of R. A map F:RR is called a multiplicative generalized derivation if there exists a map d:RR such that F(xy)=F(x)y+xd(y), for all x,yR. In the present paper, we shall prove ...