The preservation of Sahlqvist equations in completions of Boolean algebras with operators

Monk [1970] extended the notion of the completion of a Boolean algebra to Boolean algebras with operators. Under the assumption that the operators of such an algebra are completely additive, he showed that the completion of always exists and is unique up to isomorphisms over . Moreover, strictly positive equations are preserved under completions a strictly positive equation that holds in must hold in the completion of . In this paper we extend Monk’s preservation theorem by proving that certain kinds of Sahlqvist equations (as well as some other types of equations and implications) are preserved under completions. An example is given that shows that arbitrary Sahlqvist equations need not be preserved. Received May 3, 1998; accepted in final form October 7, 1998.     

线性聚合物链的m级相互作用近似

导出了线性聚合物链ｍ级相互作用近似统计权重矩阵的递推公式,它满足构象统计的矩阵代数法所要求的连接条件。按作为四元组转动的Ｃ－Ｃ键旋转角的函数计算了正庚烷的构象能。研究了聚乙烯（ＰＥ）链由相隔六键的原子间所施加的四级相互作用对均方末端距和均方回转半径的特征比的影响,结果表明考虑四级相互作用,ＰＥ键的特征比要比三级相互作用近似的小。     

BBM方程的齐次平衡解

本文借助于计算机代数系统Mathem atica,应用齐次平衡法,求出了具有数学物理意义的非线性BBM 方程的准确解.若用该方法求解推广的B-BBM 方程尚须进一步的研究.     

Bimodules over nest algebras and Deddens' theorem

We generalize Deddens' theorem for nest algebras in the case of w*-closed nest algebras bimodules. For each such bimodule, we introduce a norm closed sub-bimodule of it, which corresponds to the radical of a nest algebra and describe it in a number of ways, generalizing known facts about nest algebras.

     

光学层析技术在中央处理单元散热中的应用研究

将光学层析技术实际应用于中央处理单元（ＣＰＵ）散热产生的温度场的重建中,指出了由多方面干涉投影重建三维场的实际应用意义。成功地解决了稳态场和似稳态场的我步步投影的获取问题。     

U(1) symmetry in the current algebra and N-fermionic massless Thirring model

Local U(1) symmetry in current algebra constructed by fermions has been found. The symmetry is related to the simplest q-deformation of N-fermions. We give the physical interpretation through the N-fermionic massless Thirring model. The Bethe ansatz wavefunction is also given.     

A Generalization of the Stone–Von Neumann Theorem to Nonregular Representations of the CCR-Algebra

We give a classification, up to unitary equivalence, of the representations of the C*-algebra of the Canonical Commutation Relations which generalizes the classical Stone–von Neumann Theorem to the case of representations which are strongly measurable, but not necessarily strongly continuous. The classification includes all the (nonregular) representations which have been considered in physical models.     

Some Remarks on the Cohomology of Krichever–Novikov Algebras

We calculate the continuous cohomology of the Lie algebra of meromorphic vector fields on a compact Riemann surface from the cohomology of the holomorphic vector fields on the open Riemann surface pointed in the poles. This cohomology has been given by Kawazumi. Our result shows the Feigin–Novikov conjecture.     

ALGEBRAIC METHOD FOR VIBRATIONAL ENERGY SPECTRA OF H 2O AND NO 2

文内提出一种研究Ｈ２Ｏ和ＮＯ２高激发伸缩振动的Ｕ（２）代数模型,在极限条件下,该模型退化为一种非谐和耦合的局域模模型,用该模型的六个可调参数拟合实验数据,算得的标准偏差比相应的非谐和耦合的局域模型算得的偏差要小     

Gauss Decomposition of Dynamical Elliptic Algebra Aq,p,π(gln)

We propose a dynamical elliptic algebra which is based on the relations RLL = LLR^*, where R and R^* are the dynamical R-matrices of A_n-1⁽¹⁾-type face model with the elliptic module shifted by the center of algebra. nom the high-rank Gauss decomposition,h we obtain the Drinfeld currents of dynarnical elliptic algebra .