Nhanced G Ain and B Andwidth of P Atch a Ntenna U Sing Ebg S Ubstrates

Co-centralizing generalized derivations acting on multilinear polynomials in prime rings

‎Let $R$ be a noncommutative prime ring of‎ ‎characteristic different from $2$‎, ‎$U$ the Utumi quotient ring of $R$‎, ‎$C$ $(=Z(U))$ the extended centroid‎ ‎of $R$‎. ‎Let $0neq ain R$ and $f(x_1,ldots,x_n)$ a multilinear‎ ‎polynomial over $C$ which is noncentral valued on $R$‎. ‎Suppose‎ ‎that $G$ and $H$ are two nonzero generalized derivations of $R$‎ ‎such that $a(H(f(x))f(x)-f(x)G(f(x)))in ...

WEAKLY g(x)-CLEAN RINGS

A ring $R$ with identity is called ``clean'' if $~$for every element $ain R$, there exist an idempotent $e$ and a unit $u$ in $R$ such that $a=u+e$. Let $C(R)$ denote the center of a ring $R$ and $g(x)$ be a polynomial in $C(R)[x]$. An element $rin R$ is called ``g(x)-clean'' if $r=u+s$ where $g(s)=0$ and $u$ is a unit of $R$ and, $R$ is $g(x)$-clean if every element is $g(x)$-clean. In this pa...

A Low-Cost Efficient Multiplex P CR for Prenatal Sex Determination in Bovine Fetus U sing Free Fetal DNA in Maternal Plasma

A note on lifting projections

Suppose $pi:mathcal{A}rightarrow mathcal{B}$ is a surjective unital $ast$-homomorphism between C*-algebras $mathcal{A}$ and $mathcal{B}$, and $0leq aleq1$ with $ain  mathcal{A}$. We give a sufficient condition that ensures there is a proection $pin mathcal{A}$ such that $pi left( pright) =pi left( aright) $. An easy consequence is a result of [L. G. Brown and G. k. Pedersen, C*-algebras of real...

World leaders condemn Serbia for civil war

Cable is being installed in all dorm itory com m on room s a n d rec to r ’s room s during the nex t few w e e k s , a c c o r d i n g to William Kirk, vice p residen t for Resident Life. “I see it as a n im provem ent to the cam p u s ,” Kirk said. “It is a posit ive th a t it is in th e c o m ­ mon a re as of the dorms." C a b le w a s i n s t a l l e d by H e r i ta g e C ab lev is io n in t...