G-M制冷机热力计算模块设计

主要介绍G-M制冷系统热力性质参数及循环性能参数的计算模块的设计,该模块用Visual Basic 6.0语言进行开发,具有良好的人机交互界面,使用方便,运行可靠.将该模块用于常规G-M制冷机的热力计算,结果合理,达到了预期的要求.因此,该模块在小型低温制冷机结构设计方面具有广泛的推广价值和应用前景.     

Centre of an algebra

Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a construction associating to an algebra in a monoidal category a commutative algebra (full centre) in the monoidal centre of the monoidal category. We establish Morita invariance of this construction by extending it to module categories.As an example we treat the case of group-theoretical categories.     

Operator decomposition of graphs and the reconstruction conjecture

We present the method of proving the reconstructibility of graph classes based on the new type of decomposition of graphs — the operator decomposition. The properties of this decomposition are described. Using this decomposition we prove the following. Let P and Q be two hereditary graph classes such that P is closed with respect to the operation of join and Q is closed with respect to the operation of disjoint union. Let M be a module of graph G with associated partition (A,B,M), where A∼M and B⁄∼M, such that G[A]∈P, G[B]∈Q and G[M] is not (P,Q)-split. Then the graph G is reconstructible.     

On Graded Distributive Modules

ＯｎＧｒａｄｅｄＤｉｓｔｒｉｂｕｔｉｖｅＭｏｄｕｌｅｓ￥ＣｈｅｎＱｉｎｇｈｕａ（陈清华）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｊｉａｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｆｕｚｈｏｕ，３５０００７）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅ...     

On Faltings' annihilator theorem

In the present article, the author shows that Faltings' annihilator theorem holds for any Noetherian ring if is universally catenary; all the formal fibers of all the localizations of  are Cohen-Macaulay; and the Cohen-Macaulay locus of each finitely generated -algebra is open.

     

3阶全矩阵代数的H_8-模代数结构

设H_8是非交换非余交换的8维半单Hopf代数,C[K_4]是克莱因四元群的群代数,M_3(C)是复数域上的3阶全矩阵代数.通过方阵和方阵对的弱相似给出了同构意义下M_3(C)上全部的C[K_4]-模代数结构.在此基础上结合H_8与C[K_4]的关系,刻划了同构意义下M_3(C)上所有的H_8-模代数结构.     

Modular fluidic resistors to enable widely tunable flow rate and fluidic switching period in a microfluidic oscillator

Microfluidic systems with modular components are attractive alternatives to monolithically integrated microfluidic systems because of their flexibility. In this study, we apply the modular concept on a water‐head‐pressure‐driven microfluidic oscillator and obtain a widely tunable flow rate and fluidic switching period. Modular fluidic resistors can be easily mounted onto and demounted from a main chip by means of plastic male connectors. The connectors enable a leak‐free connection between the modular resistors and main chip (leakage pressure > 140 kPa). With modular resistors, we show independent control of the flow rate and flow switching period of the oscillator system in a wide range (2.5 s–6.4 h and 2 μL/min–2 mL/min). This modular approach can be used to enhance the flexibility of instruction‐embedded microfluidic circuits in which their operational range is limited.     

特征0无穷维单Novikov代数的非奇异模

本文证明了每一个A-模是一个平凡模和一个非奇异模的直和;给出了两类特征0无穷维单Novikov代数的非奇异模的结构定理.