Lattices of subgroup and subsystem functors

Lattices of subgroup and subsystem functors are investigated. In particular, it is proved that for the case where X is a formation of finite groups and width of the lattice F₀(X) is at most |π(X)|, the formation X is metanilpotent and |π(X)| ⩽ 3. __________ Translated from Algebra i Logika, Vol. 45, No. 6, pp. 710–730, November–December, 2006.     

Index of lattices and Hilbert polynomials

An upper bound for the index of a sublattice, which arises in relation to various versions of zero lemmas in the theory of linear forms in logarithms of algebraic numbers, in terms of the Hilbert polynomial is found. Simultaneously, a lower bound for the values of this polynomial is obtained.     

格子Boltzmann方法模拟微尺度流动和传热

本文采用格子Boltzmann方法(LBM)对微尺度Couette流的流动及传热进行了模拟.为了获得壁面边界的速度滑移和温度阶跃,在含有粘性热耗散的热格子模型的基础上,提出了一种新的直接基于宏观量的边界处理格式.模拟得到的速度场和温度分布与解析解吻合得相当好,充分说明了本文采用的模型和边界处理的合理性同时在模拟中还发现:对于不同的Kn数,均存在使得其上壁面的温度阶跃为零的临界Ec数,并且其临界值均在3.0附近.     

完全分配格上的点式拟一致结构

本文在完全分配格上建立了一种点式拟一致结构理论，许多一般拓扑中的相应定理都被得到了。特别地，我们证明了每个拓扑分子格都可以拟一致化。此外，还讨论了乘积拟一致分子格的拓扑结构。     

Investigation of Raman spectrum for nano-SnO2

The dependence of the microstructural change and lattice space symmetry of nano-SnO₂ on the annealing temperature has been studied systematically using Raman spectroscopy and X-ray diffraction. Comparing the results of nano-SnO₂ with the results of amorphous film and single crystal of SnO₂, it is found that the new Raman peaks N₁ and N₂ are in accordance with Matossi’s force constant model completely. When the annealing temperature is near 673K, the local lattice disorders and the density of vacant lattice decrease rapidly in the nano-SnO₂ grains. The lattice distortion and the new Raman peaks disappear almost at the same time. The possible mechanisms of the microstructural change and the new Raman peaks N₁ and N₂ are discussed. Project supported by the Foundation of State Science and Technology Commission and the Natural Science Foundation of Anhui Province.     

模右逆半群

半群的格方法－通过研究半群的子半群格来研究半群的特征和结构，与幂等元方法是研究半群的两种有效方法，本文利用这两种方法，完全确定了具有模的全右逆子半群的右逆半群的结构。     

MgO:LiNb0.3与LiNb0.3质子交换光波导光学及结构特征的比较

利用退火的质子交换法在MgO:LiNbO.3和LiNbO.3两种材料上制作了光波导，得到了质子交换的扩散特性以及光波导折射率分布的退火规律．通过x射线衍射和OH-红外吸收谱方法研究了 MgO:LiNbO.3和LiNbO.3质子交换光波导的结构特征及其与退火参数的关系，对MgO :LiNbO.3和LiNbO.3光波导光学和结构特征的结果进行了分析和比较． 关键词： 退火质子交换光波导 晶格结构 x射线衍射 红外吸收     

格上TL理想的性质及生成

本文利用完备Ｂｒｏｕｗｅｒ格Ｌ及Ｌ上的无穷Ｖ－分配ｔ－模定义分配格Ｍ上的ＴＬ理想，讨论一些基本性质，并给出由Ｌ子集生成的ＴＬ理想的计算公式．     

LF拓扑空间之间投影映射是开映射的一个充要条件

王国俊先生曾提出这样一个问题：设｛（Ｌ＾Ｘ，δｔ）｝ｔ∈Ｔ是一族ＬＦ拓扑空间，（Ｌ＾Ｘ，δ）是其乘积空间，Ｐｔ：Ｌ＾Ｘ→Ｌ＾Ｘｔ（ｔ∈Ｔ）是投影映射，问Ｐｔ是开映射的充要条件是什么？本文在较广范围－形如（Ｌ＾Ｘ，η）的拓扑分子格－内讨论类似问题，给出了上述问题的一个解答。