On trace of symmetric bi-gamma-derivations in gamma-near-rings
Let M be a 2-torsion free 3-prime left Gamma-near-ring with multiplicative center C. For x is an element of M, let C(x) be the centralizer of x in M. The aim of this paper is to study the trace of symmetric bi-Gamma-derivations (also symmetric bi-generalized Gamma-derivations) on M. Main results are the following theorems: Let D(.,.) be a non-zero symmetric bi-Gamma-derivation of M and F(.,.) a symmetric bi-additive mapping of M. Let d and f be traces of D(.,.) and F(.,.), respectively. In this case (1) If d(M) subset of C, then M is a commutative ring. (2) If d(y), d(y) + d(y) is an element of C(D(x, z)) for all x, Y, z is an element of M, then M is a commutative ring. (3) If F(.,.) is a non-Zero symmetric bigeneralized Gamma-derivation of M associated with D(.,.) and f(M) C C, then M is a commutative ring. (4) If F(.,.) is a non-zero symmetric bi-generalized Gamma-derivation of M associated with D(.,.) and f(y), f(y) +,f(y) is an element of C(D(x, z)) for all X, y, z is an element of M, then M is a commutative ring.
SourceHOUSTON JOURNAL OF MATHEMATICS
Showing items related by title, author, creator and subject.
Improved sensitivity on the electromagnetic dipole moments of the top quark in gamma gamma, gamma gamma* and gamma*gamma* collisions at the CLIC We realize a phenomenological study to examine the sensitivity on the magnetic moment and electric dipole moment of the top quark through the processes gamma gamma -> t (t) over bar, e gamma -> e gamma*gamma -> et (t) over ...
Potential of the LHC to explore the phenomenology of the Kaluza-Klein (KK) tower of gravitons in the scenarios of the Arkani-Hamed, Dimopoulos and Dvali(ADD) model and Randall-Sundrum (RS) model is discussed via the process ...
Improved bounds on the dipole moments of the tau neutrino from high-energy gamma*e(-) and gamma*gamma* collisions at the ILC and CLIC In this work we study the potential of the processes e(+)e(-) -> e(+)gamma*e(-) -> e(+)tau(nu) over bar (tau)nu e and e(+)e(-) -> e(+)gamma*gamma*e(-) -> e(+)nu(tau)(nu) over bar (tau)e(-) at a future high-energy and ...