On trace of symmetric bi-gamma-derivations in gamma-near-rings
Abstract
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.
Source
HOUSTON JOURNAL OF MATHEMATICSVolume
33Issue
2Collections
- Makale Koleksiyonu [5200]
- Öksüz Yayınlar Koleksiyonu - WoS [6162]
Related items
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
Billur, A. A.; Koksal, M.; Gutierrez-Rodriguez, A. (AMER PHYSICAL SOC, 2017)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 ... -
Extra dimensions in gamma gamma -> gamma gamma process at the CERN-LHC
Atag, S.; Inan, S. C.; Sahin, I. (SPRINGER, 2010)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
Gutierrez-Rodriguez, A.; Koksal, M.; Billur, A. A. (AMER PHYSICAL SOC, 2015)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 ...