Browsing by Author "Golbasi, Oznur"
Now showing items 1-15 of 15
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Generalized derivations on Lie ideals in prime rings
Golbasi, Oznur; Koc, Emine (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 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 2-torsion 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 S-4 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 2-torsion 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 near-ring 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 near-rings in [4], [5] and [13] to (sigma,tau)-derivations and semigroup ideals of prime near-rings. -
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 NEAR-RINGS WITH MULTIPLICATIVE GENERALIZED DERIVATION
Bedir, Zeliha; Golbasi, Oznur (ANKARA UNIV, FAC SCI, 2019)In the present paper, we shall prove that 3 near-ring 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 PUBL-INDIA, 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 2-torsion 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 Near-Rings with Generalized Derivation
Golbasi, Oznur (NATL INQUIRY SERVICES CENTRE PTY LTD, 2010)Let N be a left near-ring 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 Gamma-RINGS
Koc, Emine; Golbasi, Oznur (UNIV MISKOLC INST MATH, 2012)In this paper, we investigate the rings of quotients of a semiprime Gamma-ring. -
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 ...