Let $R$ be a 2-torsion free ring and $U$ be a square closed Lie ideal of $R$. Suppose that $alpha, beta$ are automorphisms of $R$. An additive mapping $delta: R longrightarrow R$ is said to be a Jordan left $(alpha,beta)$-derivation of $R$ if $delta(x^2)=alpha(x)delta(x)+beta(x)delta(x)$ holds for all $xin R$. In this paper it is established that if $R$ admits an additive mapping $G : Rlongrigh...

OBJECTIVE To investigate whether sleep macrostructure and EEG power spectral density and coherence during NREM sleep are different in Asperger syndrome (AS) compared to typically developing children and adolescents. METHODS Standard all night EEG sleep parameters were obtained from 18 un-medicated subjects with AS and 14 controls (age range: 7.5-21.5years) after one adaptation night. Spectral...

We obtain local well-posedness result for the generalized Hall-magneto-hydrodynamics system in Besov spaces $${\dot{B}^{-(2\alpha _1-\gamma )}_{\infty , \infty }} \times {\dot{B}^{-(2\alpha _2-\beta }({{\mathbb {R}}^3})}$$ with suitable indexes $$\alpha _1, \alpha _2, \beta $$ and $$\gamma .$$ As a corollary, hyperdissipative electron magneto-hydrodynamics is globally well-posed _2-2)}}_{\infty...

decomposability of an algebraic structure into the :union: of its sub-structures goes back to g. scorza's theorem of 1926 for groups. an analogue of this theorem for rings has been recently studied by a. lucchini in 2012. on the study of this problem for non-group semigroups, the first attempt is due to clifford's work of 1961 for the regular semigroups. since then, n.p. mukherjee in ...

‎We define hyperbolic harmonic $omega$-$alpha$-Bloch space‎ ‎$mathcal{B}_omega^alpha$ in the unit ball $mathbb{B}$ of ${mathbb R}^n$ and‎ ‎characterize it in terms of‎ ‎$$frac{omegabig((1-|x|^2)^{beta}(1-|y|^2)^{alpha-beta}big)|f(x)-f(y)|}{[x,y]^gamma|x-y|^{1-gamma}‎},$$ where $0leq gammaleq 1$‎. ‎Similar results are extended to‎ ‎little $omega$-$alpha$-Bloch and Besov spaces‎. ‎These obtained‎...

The best bounds of the form $B(\alpha,\beta,\gamma,x)=(\alpha+\sqrt{\beta^2+\gamma^2 x^2})/x$ for ratios modified Bessel functions are characterized: if $\alpha$, $\beta$ and $\gamma$ chosen in such a way that $B(\alpha,\beta,\gamma,x)$ is sharp approximation $\Phi_{\nu}(x)=I_{\nu-1} (x)/I_{\nu}(x)$ as $x\rightarrow 0^+$ (respectively +\infty$) graphs $\Phi_{\nu}(x)$ tangent at some $x=x_*>0$, ...

Let $$r,h\in {\mathbb {N}}$$ with $$r\ge 7$$ and let $$F(x,y)\in {Z}}[x ,y]$$ be a binary form such that $$\begin{aligned} F(x , y) =(\alpha x + \beta y)^r -(\gamma \delta y)^r, \end{aligned}$$ where $$\alpha $$ $$\beta $$\gamma $$\delta are algebraic constants -\beta \gamma \ne 0$$ . We establish upper bounds for the number of primitive solutions to Thue inequality $$0<|F(x, y)| \le h$$ improv...

let $r$ be a 2-torsion free ring and $u$ be a square closed lie ideal of $r$. suppose that $alpha, beta$ are automorphisms of $r$. an additive mapping $delta: r longrightarrow r$ is said to be a jordan left $(alpha,beta)$-derivation of $r$ if $delta(x^2)=alpha(x)delta(x)+beta(x)delta(x)$ holds for all $xin r$. in this paper it is established that if $r$ admits an additive mapping $g : rlongrigh...

Two GTP-binding trimeric proteins (referred to as alpha 41 beta gamma and alpha 39 beta gamma based on the kilodalton molecular weights of their alpha-subunits) were purified from rat brain as the specific substrates of the ADP-ribosylation reaction catalyzed by islet-activating protein, pertussis toxin, and resolved irreversibly into alpha- and beta gamma-subunits by incubation with guanosine ...