We shall extend the results of [5] and prove that if f = Z o a x ? Z [[X]] is algebraic over Q (x), where a = 1, ƒ 1 and if ? , ? ,..., ? are p-adic integers, then 1 ? , ? ,..., ? are linkarly independent over Q if and only if (1+x) ,(1+x) ,…,(1+x) are algebraically independent over Q (x) if and only if f , f ,.., f are algebraically independent over Q (x)

The notions of quasi-prime submodules and developed  Zariski topology was introduced by the present authors in cite{ah10}. In this paper we use these notions to define a scheme. For an $R$-module $M$, let $X:={Qin qSpec(M) mid (Q:_R M)inSpec(R)}$. It is proved that $(X, mathcal{O}_X)$ is a locally ringed space. We study the morphism of locally ringed spaces induced by $R$-homomorphism $Mrightar...

Reactions of equemolar amounts of lead (II) nitrate and 2,2'- bipyridine o r l , 10- phenanthroline in aqueous methanolicsolution yield crystals of Pb (bipy)(H O)(NO ) (1) or Pb (phen) (H O) (NO ) (2) respectively. Their structures were determined by X-ray crystallography. The method and structure determination is described

the a f f i x e s i n a l a n g u a g u e are a masive w e b o f morfolexical elements formed b y t w o bases ; t h e root and t h e bound . t h e combination o f these t w o link the meaning o f a w o rd with a concept . t h e a i m o f t h e present paper i s t o study t h e similitud and dissimilitude i n t h e funtion o f these suffixes i n b o t h spanish a n d persian languages . we will ...

we shall extend the results of [5] and prove that if f = z o a x ? z [[x]] is algebraic over q (x), where a = 1, ƒ 1 and if ? , ? ,..., ? are p-adic integers, then 1 ? , ? ,..., ? are linkarly independent over q if and only if (1+x) ,(1+x) ,…,(1+x) are algebraically independent over q (x) if and only if f , f ,.., f are algebraically independent over q (x)

Perovskite-type oxides of LaFe(1+x)O(3+δ) (x = 0.0, 0.2, 0.5 and 0.7) were synthesized by citrate sol–gel methodto ensure the formation of nanosized perovskites. The physicochemical properties of these LaFe(1+x)O(3+δ)materials were characterized by thermal gravimetric/differential analyses, Fourier transform infraredspectroscopy, X-ray powder diffraction, scanning electron and...