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Established in 2001, Puyang Zhong Yuan Restar Petroleum Equipment Co.,Ltd, “RSD” for short, is Henan’s high-tech enterprise with intellectual property advantages and independent legal person qualification. With registered capital of RMB 50 million, the Company has two subsidiaries-Henan Restar Separation Equipment Technology Co., Ltd We are mainly specialized in R&D, production and service of various intelligent separation and control systems in oil&gas drilling,engineering environmental protection and mining industries.We always take the lead in Chinese market shares of drilling fluid shale shaker for many years. Our products have been exported more than 20 countries and always extensively praised by customers. We are Class I network supplier of Sinopec,CNPC and CNOOC and registered supplier of ONGC, OIL India,KOC. High quality and international standard products make us gain many Large-scale drilling fluids recycling systems for Saudi Aramco and Gazprom projects.

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(UNFINISHED NOTES ON) MORDELL’S CONJECTURE AFTER …

By the double ,centralizer theorem, (recalled above) Z E(Z) = End(A) Q l, therefore it su ces to show that, for any 2End(V lA)Gal K and c2Z, we have c= c 2End(V lA): In other words, let c2End(V lA) be an element that commutes with all x2End(A) Q l, then we need to show that ccommutes with as well. Now the clever part of the argument: consider the graph of := f(v;

Contents

Proof ,Theorem, 1.2 8 Acknowledgments 9 References 9 1. Introduction ... ,Key, words and phrases. Essential dimension, central simple algebra, projective linear group, G-lattice. ... We will look for L inside the ,centralizer, C A(F′). By the Double ,Centralizer Theorem,, C A(F ...

FOR DOUBLE CENTRALIZER ALGEBRAS

The double centralizer of A, denoted M(A), is the set of all pairs (T, S) where T and S are maps from A to A satisfying aT(b) = S(a)b for alla, b E A. M(A) has a C*-algebra structure and contains A as a two-sided

CUBIC DOUBLE CENTRALIZERS AND CUBIC MULTIPLIERS

A is said to be left ,centralizer, on A if L(ab) = L(a)b for all a;b 2 A. Similarly, a linear mapping R: A ! A that R(ab) = aR(b) for all a;b 2 A is called right ,centralizer, on A. A double ,centralizer, on A is a pair (L;R), where L is a left ,centralizer,, R is a right ,centralizer, and aL(b) = R(a)b for all a;b 2 A. For example, (Lc;Rc) is a double ,centralizer,, where Lc(a) := ca

On double centralizer properties between quantum groups ...

If both ϕ and ψ are surjective, we call that the triple, (A,,,B,M)satisﬁes, the double centralizer property. Such double centralizer property plays a central role in many parts of algebraic Lie theory. For example, let R=C, the complex numbers ﬁeld; A=CGLm(C), the group algebra (over C) for general linear group; B=CSn, the group algebra (over C)forthe

THE STRICT TOPOLOGY FOR DOUBLE CENTRALIZER ALGEBRASQ

1. Notation and preliminaries. Let A be a 5*-algebra. By a double centralizer on A, we mean a, pair (R, S), of, functions, from A to A such that, aR(b) = S(a)b, for a, b in A, and we will denote the set of all double centralizers on A by M (A). If (R, S) e M(A), then R and S are continuous linear operators on A …

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