The goal of this paper is to give a definition generalization fuzzy prime $\Gamma $-ideals in $-rings by introducing 2-absorbing and weakly completely commutative their properties. Furthermore, we diagram which transition between definitions $-ring. Finally, introduce quotient $-ring $R$ induced the $-ideal $2$-absorbing

We consider the dynamics of networks of oscillators that are weakly dissipative perturbations of identical Hamiltonian oscillators with weak coupling. Suppose the Hamiltonian oscillators have angular frequency ω(α) when their energy is α. We address the problem of what happens in a neighbourhood of where dω/dα = 0; we refer to this as a point of isochronicity for the oscillators. If the couplin...

objective(s):the objective of this study was to investigate the interaction of daunorubicin (dnr) and cardiac myosin (cm) and the changes in mice hearts to exhibit dnr-induced cardiotoxicity . materials and methods:the interaction between dnr and cm was expressed using fluorescence quenching at ph 4.0-9.0 and 15-37 °c. dnr-induced cardiotoxicity was studied using in vivo experiment.  forty grou...

for a bounded linear operator on hilbert space we define a sequence of the so-called weakly extremal vectors‎. ‎we study the properties of weakly extremal vectors and show that the orthogonality equation is valid for weakly extremal vectors‎. ‎also we show that any quasinilpotent operator $t$ has an hypernoncyclic vector‎, ‎and so $t$ has a nontrivial hyperinvariant subspace‎.