由六个顶点的箭图诱导的项链李子代数

无限维项链李代数是新的一类无限维李代数,本文重点讨论了由六个顶点的箭图诱导的项链李子代数,研究了这类李子代数的子代数,同构和同态,这类李代数是Virasoro-like李代数的推广,并讨论了它的其他一些性质.     

三次可解型非退化李代数及其导子李代数的结构

本文给出了非退化可解李代数的两个类型:三次可解型非退化李代数和扩充的 Heisenberg李代数,并确定三次可解型非退化李代数及其导子李代数的结构．     

与广义Cartan K型李代数有关的一类无限维李代数

本文主要引入了一类与广义Cartan K型李代数有关的无限维李代数,并讨论了 它的单性及任两个这类李代数的同构问题.     

一些特殊项链李代数的同态

项链李代数是新的一类无限维李代数.定义了项链字的左右指标数组,并利用左右指标数组,把NQ的基分成5类,并重点讨论了项链李代数的同态的性质.     

某些完备李代数的结构

本文讨论了完备李代数的同构问题，并对幂零根基为一些Ｈｅｉｓｅｎｂｅｒｇ代数及交换李代数之直和的可解和一般完备李代数的结构进行了讨论．     

n-李代数的中心扩张

对n-李代数的中心扩张问题进行了研究,提出了Heisenberg n-李代数的概念,并对任意一个线性空间V,给出了构造Heisenberg n-李代数H(V)的一种方法且研究了一类特殊类型Heisenberberg n-李代数的导子代数的结构.     

3-李代数的包络B-代数（英文）

定义并构造了3-李代数的包络B-代数,研究了3-李代数的标准包络B-代数的结构,证明了3-李代数是单3-李代数的充分必要条件是其标准的包络B-代数SB(L)_θ是单的.     

带单参数q的无限维Block型李代数的性质

研究了一类带单参数q的无限维Block型李代数,这类李代数是Virasoro-like李代数的推广. Virasoro-like李代数是一类非常重要的无限维李代数.本文研究了这类李代数子代数,同构和同态.     

算子李代数g(G,M)[σ]的子代数

在李代数的研究中,经常使用算子李代数的结构去刻划其它李代数的代数结构,由算子构成的李代数在李代数理论中占有重要的位置.构造了算子李代数g(G,M)[σ]的子代数,然后讨论了这些子代数的代数结构.     

对合导子构造的3-李双代数与3-Pre-李代数

研究具有对合导子的3-李代数的结构,证明了具有对合导子的m-维3-李代数A存在相容的3-Pre-李代数,且在2m-维半直积3-李代数A■_(ad~*)A~*上存在局部上循环3-李双代数结构.利用对合导子构造了3-李代数A■_(ad~*)A~*上的3-李Yang-Baxter方程的解和一类3-Pre-李代数,并构造了8-维和10-维局部上循环3-李双代数.     

关于模糊拓扑环的直积

给出模糊拓扑环族直积的定义,研究它的性质,及任意模糊拓扑环族直积、与其模糊拓扑子环,与其模糊拓扑剩余环之间的同构问题.并对(QU)型模糊拓扑环关于上述问题进行研究.     

一类趋化性生物模型行波解的存在性与正则性

研究了一类趋化性生物模型行波解的存在性和正则性.通过直接计算得到了其行波解存在的充分必要条件;在一定条件下,研究了行波解的正则与非正则的性质;在特殊情形下给出了行波解的显式解.     

On the Beauville form of the known irreducible symplectic varieties

We study the global geometry of O’Grady’s ten-dimensional irreducible symplectic variety. We determine its second Betti number, its Beauville form and its Fujiki constant.     

An existence criterion for a smooth function under constraints

In this paper, we study conditions for the existence of a function satisfying constraints on its value at each point and on its derivative.     

Stokes equations under nonlinear slip boundary conditions coupled with the heat equation: A priori error analysis

In this work, we consider the heat equation coupled with Stokes equations under threshold type boundary condition. The conditions for existence and uniqueness of the weak solution are made clear. Next we formulate the finite element problem, recall the conditions of its solvability, and study its convergence by making use of Babuska–Brezzi's conditions for mixed problems. Third we formulate an Uzawa's type iterative algorithm that separates the fluid from heat conduction, study its feasibility, and convergence. Finally the theoretical findings are validated by numerical simulations.     

On weighted interval entropy

Measures of uncertainty in past and residual lifetime distributions have been proposed in the information-theoretic literature. Recently, Di Crescenzo and Longobardi (2006) introduced weighted differential entropy and its dynamic versions. These information-theoretic uncertainty measures are shift-dependent. In this paper, we study the weighted differential information measure for two-sided truncated random variables. This new measure is a generalization of recent dynamic weighted entropy measures. We study various properties of this measure, including its connection with weighted residual and past entropies, and we obtain its upper and lower bounds.     

On co-isosimple modules and co-isoradical of modules

Abstract

In this paper we study “co-isosimple” modules, that is, those modules which are isomorphic to all of its non-zero quotients modules. This allows us to define and study “isomaximal” submodules, “isomax” modules and the “co-isoradical” of a module. We study some of its basic properties and we give a characterization of left V-ring using these concepts.

Communicated by Alberto Facchini     

General Moments of the Inverse Real Wishart Distribution and Orthogonal Weingarten Functions

We study a random positive definite symmetric matrix distributed according to a real Wishart distribution. We compute general moments of the random matrix and of its inverse explicitly. To do so, we employ the orthogonal Weingarten function, which was recently introduced in the study of Haar-distributed orthogonal matrices. As applications, we give formulas for moments of traces of a Wishart matrix and its inverse.     

由交换群决定的Near环

本文讨论了加群上保持零元的映射集合对映射的加法和乘法作成的Ｎｅａｒ环，研究了它的理想特点，并构造了几类特殊的左，右理想．     

一致Cantor集的Minkowski容度

该文研究了一致cantor集的Minkowski容度，并且计算出了它的上Minkowski容度和下Minkowski容度. 由此推出它的Minkowski容度是不存在的.