局部Noether模的相对连续性特征

设M是左R-模,本文证明了M是局部Noether的当且仅当σ[M]中的任意M-内射左R-模的直和是S∧2-连续的（S∧2-拟连续的）。     

组件裂尖变形场的云纹显微倍增研究

将云纹干涉法与显微、倍增技术相结合，发展了一种位移场云纹条纹显微倍增方法．对该方法进行了严格的理论推导和精确的实验验证，并用该方法对热载下微电子模拟组件的层间裂纹尖端位移场和奇异性进行了实验研究     

基于GSM的远程空气质量监测系统设计

由于人们环保意识的提高,越来越多的场合期望提供实时的空气质量监测数据.对于这类应用场景,基于无线网络的远端监测站点与数据处理中心的系统架构已经十分成熟.给出了基于信号覆盖率最高的GSM中最可靠的短信服务作为数据传输媒介的远程空气质量监测系统的设计方案.方案中的硬件选型以性能、尺寸和功耗同时作为标准,力求使得系统具有更佳的工程使用价值,方便日后推广.同时监测中心除提供基本的监测软件外,还提供了开发库,便于用户利用监测站点的数据进行二次开发.通过对原型机的测试,该设计能够在无外部电源供电的情况下连续72 h对空气质量进行监测,具有实用推广价值.     

广播式自动相关监视设备系统设计

随着多旋翼无人机日益广泛的应用,其监视能力的薄弱也日渐显露,增强其自主监视能力是实现无机自动化的重要手段,为此,设计了一套基于MSP430F4152的小型广播式自动相关监视设备,可使多旋翼无人机具有自主监视能力。首先,基于现有的广播式自动相关监视技术,对嵌入式系统进行优化设计,然后,设计了以MSP430F4152微控制器为主控芯片的硬件部分,通过ATGM331C模块获取位置信息与时间同步信号,并利用nRF24L01 模块进行无线数据传输,最终在J204A显示屏上显示本机信息与远程数据。软件部分针对电池驱动的硬件做了优化设计,参考UAT数据链设计了本系统的工作时序,利用Asterix Category 021协议设计了本系统的报文格式,最后对文中方法进行实验测试,结果表明了文中系统能实现主监视,是一种可行的方法。     

On stem covers and the universal central extensions of Lie crossed modules

In this article, we investigate stem covers and the universal central extensions of Lie crossed modules. In particular, a cover for the direct sum of two Lie crossed modules in term of given covers of them will be constructed. Using the results obtained, we give some properties of covers and the universal relative central extensions of pairs of Lie algebras.     

Relative coherent modules and semihereditary modules

Given a positive integer n, a left R-module M is called n-coherent (resp. n-semihereditary) if every n-generated submodule of M is finitely presented (resp. projective). We investigate the properties of n-coherent modules and n-semihereditary modules. Various results are developed, many extending known results.     

Abel群的一些分解定理的推广(Ⅱ)

本文讨论了2类具体的主理想整环上的拟循环模,研究了A-宽有限的向量空间,刻画了该类向量空间的结构,阐述了A-宽有限的向量空间的A-不变子空间构成的偏序集必满足极小条件,并给出了带有线性变换的向量空间作为F[λ]-模构成拟循环模的一个充要条件.     

Gelfand-Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules

The Gelfand-Kirillov dimension is an invariant which can measure the size of infinite-dimensional algebraic structures. In this article, we show that it can also measure the reducibility of scalar generalized Verma modules. In particular, we use it to determine the reducibility of scalar generalized Verma modules associated with maximal parabolic subalgebras in the Hermitian symmetric case.     

Quasicrystallographic groups on Minkowski spaces

We generalize the quasicrystallographic groups in the sense of Novikov and Veselov from Euclidean spaces to pseudo-Euclidean and affine spaces. We prove that the quasicrystallographic groups on Minkowski spaces whose rotation groups satisfy an additional assumption are projections of crystallographic groups on pseudo-Euclidean spaces. An example shows that the assumption cannot be dropped. We prove that each quasicrystallographic group is a projection of a crystallographic group on an affine space.     

Structure of a Class of Rank Two Lie Conformal Algebras

Let β be a complex number,and a class of non-semisimple and non-solvable rank two Lie conformal algebras-(L)(β) are introduced.In this paper,conformal derivations,conformal quasiderivations,generalized conformal derivations and conformal biderivations of (L)(β) are studied.Besides,central extensions and conformal modules of rank one of (L)(β) are determined.