The following theorem is proved: Let R be an algebra with involution over an uncountable field F. Then if the symmetric elements of R are algebraic, R is algebraic. In this paper we consider the following question: "Let R be an algebra with involution over a field F, and assume that the symmetric elements S of R are algebraic over F. Is R algebraic over FT* Previous results related to this ques...

using the notion of “belongingness ($epsilon$)” and “quasi-coincidence (q)” of fuzzy points with fuzzy sets, we introduce the concept of an ($ alpha, beta$)- fuzzyhv-ideal of an hv-ring, where , are any two of {$epsilon$, q,$epsilon$ $vee$ q, $epsilon$ $wedge$ q} with $ alpha$ $neq$ $epsilon$ $wedge$ q. since the concept of ($epsilon$, $epsilon$ $vee$ q)-fuzzy hv-ideals is an important and ...

Let $R$ be a reversible ring which is $alpha$-compatible for an endomorphism $alpha$ of $R$ and $f(X)=a_0+a_1X+cdots+a_nX^n$ be a nonzero skew polynomial in $R[X;alpha]$. It is proved that if there exists a nonzero skew polynomial $g(X)=b_0+b_1X+cdots+b_mX^m$ in $R[X;alpha]$ such that $g(X)f(X)=c$ is a constant in $R$, then $b_0a_0=c$ and there exist nonzero elements $a$ and $r$ in $R$ such tha...

Delafossite CuFeO2 hexagonal platelets/rings and graphene composites were synthesized by a low temperature hydrothermal method. The formation mechanism of CuFeO2 hexagonal platelets/rings follows the combined effects of both GO and NaOH. The obtained composites as anode materials display a good battery performance with high reversible capacity, good rate capability and cyclic stability.

Introduction: Hydrogen sulfide (H2S) plays a key role in the regulation of vascular tone and protection of blood vessels against endothelial dysfunction. Since the mechanism of salt impairing H2S-induced vascular relaxation is not fully clear, therefore this study was designed to investigate the role of potassium (K+) channels in the vasodilatory effects of exogenous H2S in rat aortic rings.&nb...

Sitagliptin is a dipeptidyl peptidase-4 (DPP IV, CD26) inhibitor indicated for treatment of Type II diabetes as a second line therapy after metformin. We report fifteen sitagliptin intolerant patients who developed anterior and posterior rhinorrhea, cough, dyspnea, and fatigue. Symptoms typically developed within 1 to 8 weeks of starting, and resolved within 1 week of stopping the drug. Peak ex...

we show  that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. as aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. this generalizes and simplifies a result of  dung and   smith. as another consequen...

In this paper, we focus on the duo ring property via quasinilpotent elements, which gives a new kind of generalizations commutativity. We call rings qnil-duo. Firstly, some properties quasinilpotents in are provided. Then set is applied to rings, perspective, introduce and study right (resp., left) qnil-duo rings. show that concept not left-right symmetric. Among others, it proved if Hurwitz se...

Let R be a commutative ring with nonzero identity. A proper ideal I of is said to 1-absorbing prime if xyz ∈ for some nonunits x, y, z R, then xy or I. It well known that ⇒ primary semi-primary ideal, is, the class ideals comes between classes and ideals. Also, above right arrows are not reversible. In this article, we characterize rings over which every prime. by comparing other classical such...

We studied the effects of natural and recombinant human IL-2 (rIL-2) on secretion of prostacyclin (PGI2), vWf, and tissue-type plasminogen activator (tPA). IL-2 elicited a steady increase in PGI2 synthesis by cultured human umbilical vein endothelial cells (HUVECS) and bovine aortic endothelial cells but had no effect on vWf or tPA. Both purified natural IL-2 (nIL-2) and rIL-2 induced significa...