On modules which force homogeneous maps to be linear

Let be a ring with identity. We characterize in terms of the left ideal structure of when every homogeneous map between nonsingular -modules is linear and answer some earlier questions of the author that remained open.

     

Hilbert Module Realization of the Square of White Noise and Finite Difference Algebras

We develop an approach to the representations theory of the algebra of the square of white noise based on the construction of Hilbert modules. We find the unique Fock representation and show that the representation space is the usual symmetric Fock space. Although we started with one degree of freedom we end up with countably many degrees of freedom. Surprisingly, our representation turns out to have a close relation to Feinsilver's finite difference algebra. In fact, there exists a holomorphic image of the finite difference algebra in the algebra of square of white noise. Our representation restricted to this image is the Boukas representation on the finite difference Fock space. Thus we extend the Boukas representation to a bigger algebra, which is generated by creators, annihilators, and number operators.     

Representations of Frobenius-type triangular matrix algebras

The aim of this paper is mainly to build a new representation-theoretic realization of finite root systems through the so-called Frobenius-type triangular matrix algebras by the method of reflection functors over any field. Finally, we give an analog of APR-tilting module for this class of algebras. The major conclusions contains the known results as special cases, e.g., that for path algebras over an algebraically closed field and for path algebras with relations from symmetrizable cartan matrices. Meanwhile, it means the corresponding results for some other important classes of algebras, that is, the path algebras of quivers over Frobenius algebras and the generalized path algebras endowed by Frobenius algebras at vertices.     

含微裂纹的95%Al2O3陶瓷的力学性能

本文采用三种不同加载方式(单轴拉伸,三点弯曲以及圆盘压缩)研究含微裂纹Al_2O_3的陶瓷的弹性性能及其抗拉强度.微裂纹是通过对材料瞬时突变加热和冷却(简称热冲击)形成的.试验结果表明:1)三点弯曲试验得到的力学性能参数较其它两种加载方式所得到的结果要稳定和集中.单轴拉伸试验结果分散性最大.2)热冲击温度越高,材料的等效弹性模量?和等效泊松比?以及各种加载方式下试件的抗拉强度??都有不同程度的下降.电镜观察证实了力学性能参数下降主要与材料内部微裂纹密度增加有关.3)Budiansky-O'Connell方法被用来估计不同热冲击处理后的圆盘试件在断裂过程中的微裂纹密度变化,结果表明实际材料的微裂纹密度较理想材料的微裂纹密度都有一定的偏差.     

快速稳压PSM电源主回路及补偿网络设计

针对NBI系统中单个脉冲调压电源模块(PSM)直流输出电压不可调、精度低、电压超调大,提出了在PSM电源模块输出侧串联一个调压电源的方法。为了使调压电源的系统有良好的动态性能,设计了一个TYPE-III补偿网络。最后搭建了一台样机,实验结果验证了主回路设计的正确性,为制造单个PSM电源测试台奠定了基础。     

Generalized imaginary Verma and Wakimoto modules

We develop a general technique of constructing new irreducible weight modules for any affine Kac-Moody algebra using the parabolic induction, in the case when the Levi factor of a parabolic subalgebra is infinite-dimensional and the central charge is nonzero. Our approach unifies and generalizes all previously known results with imposed restrictions on inducing modules. We also define generalized imaginary Wakimoto modules which provide an explicit realization for generic generalized imaginary Verma modules.     

润滑脂数据库的数据模型与功能模块设计

在“百科全书”和“坑口电站”的设计思想指导下，规划设计了润滑脂数据库．这种数据库设计有９条查询途径，查询得到有关润滑脂的各种数据、资料和知识；设计有８个功能模块，使数据库具有查询、选用、代用、故障诊断与失效分析、学习、设计计算和维护等功能，因而数据库具有广泛的应用价值     

On Schrödinger-Virasoro type Lie conformal algebras

In this paper, two classes of Schrödinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b, c∈?. Moreover, central extensions, conformal derivations and free conformal modules of rank 1 of TSV(a,b) and TSV(c) are determined.     

Gorenstein AC-projective dimension of unbounded complexes

Recently, the notion of Gorenstein AC-projective (resp., Gorenstein AC-injective) modules was introduced in [3 Bravo, D., Gillespie, J., Hovey, M. The stable module category of a general ring. http://arxiv.org/abs/1405.5768. [Google Scholar]] by which the so-called “Gorenstein AC-homological algebra” was established. Here, we define and study a notion of Gorenstein AC-projective dimension for complexes (not necessarily bounded) over associative rings, which is inspired by Veliche’s construction of defining Gorenstein projective dimension. In particular, we show that such a dimension can be closely related to the “proper” Gorenstein AC-projective resolutions of complexes induced by a complete and hereditary cotorsion pair in the category of complexes of modules. This enables us to interpret this dimension of a complex in terms of vanishing of the derived functor RHom_R(?,?). As applications, some characterizations of the Gorenstein AC-projective dimension of a module are also obtained.