Browsing by Author "Koc, Emine"
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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 GENERALIZED DERIVATIONS OF *-PRIME RINGS
Koc, Emine; Rehman, Nadeem Ur (UNIV MISKOLC INST MATH, 2014)Let R be a *-prime ring with characteristic different from two and U not equal 0 be a square closed *-Lie ideal of R. An additive mapping F : R -> R is called an generalized derivation if there exits a derivation d : 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 SYMMETRIC SKEW n-DERIVATION IN RINGS
Koc, Emine; Rehman, Nadeem Ur (KOREAN MATHEMATICAL SOC, 2018)Let R be a prime ring (or semiprime ring) with center Z(R), I a nonzero ideal of R, T an automorphism of R, S : R-n -> R be a symmetric skew n-derivation associated with the automorphism T and Delta is the trace of S. In ... -
NOTES ON THE COMMUTATIVITY OF PRIME NEAR-RINGS
Koc, Emine (UNIV MISKOLC INST MATH, 2011)Let N be a 3-prime right near-ring and let f be a generalized (theta, theta) - derivation on N with associated. (theta, theta) - derivation d: It is proved that N must be a commutative ring if d not equal 0 and one of the ... -
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 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 ...