Dedekind整环上的不可分解扭模

We give a direct proof to the classification of all indecomposable torsion modules over a Dedekind ring. As an application, we classify all indecomposable locally-nilpotent modules over the polynomial algebra with one variable over a field.     

快前沿直线脉冲变压器单级模块开关触发时延分散性实验研究

针对12支路并联的快前沿直线脉冲变压器单级模块,给出了模块的电路结构和关键器件参数,实验获得了12只多间隙气体开关的自击穿特性和触发特性。同时,还给出了快前沿直线脉冲变压器模块输出电流的初步实验结果,工作电压150 kV时,次级短路放电电流幅值为235 kA,电流前沿88.2 ns（10%~90%）。次级带0.58 负载情况下,输出电流幅值114.5 kA,电流前沿88.9 ns（10%~90%）。利用微分环测量了12只开关的触发时延分散性,结果表明100次实验开关触发时延分散性近似符合正态分布,开关触发时延分散性对输出电流的影响不大,电流幅值和前沿的标准偏差分别小于2.0%,4.0%,电流波形的畸变主要以平顶为主。     

光模块消光比的补偿方法

提出了一种新型光模块消光比补偿方法。该方法首先根据不同温度下驱动芯片上报电流的大小,结合光功率和消光比的计算公式,模拟出激光器光功率随电流及电压的变化曲线。然后根据要求调整激光器调制电流的大小,以保持消光比的稳定。该补偿方式有效地解决了光器件一致性较差的问题,可以将原来斜效率的指标适当放宽10%,从而提高了利用率和成品率,降低了模块生产成本。     

Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories

In this paper,we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter–Drinfeld modules over a weak braided Hopf monoid.We apply the general result to the calculus of the center in module categories.     

独立学院数学课程体系的探索

为解决独立学院数学教学中能力强的学生"吃不饱",能力欠佳的学生"吃不消"的问题,提出了"基础+提高"统筹优化的数学课程体系."基础"模块的教学坚持为后续专业课服务,并穿插教书中"育人"理念;"提高"模块作为公共选修范畴,具有自主性、多元化特点,并突出人才培养的阶梯式发展.通过近5年的教学改革与实践,新课程体系有效地提高了学生学习数学的兴趣,降低了期末考试的不通过率,并造就一批有创新意识的人才.     

广义幂级数代数的滤链维数

In this paper, we study the properties of generalized power series modules and the filtration dimensions of generalized power series algebras. We obtain that [[△S,≤]]- gfd([[AS,≤]]) =△-gfd(A) if A is an R-module where R is a perfect and coherent commutative algebra, and(R, ≤) is standardly stratified.     

Finiteness conditions in the stable module category

We study groups whose cohomology functors commute with filtered colimits in high dimensions. We relate this condition to the existence of projective resolutions which exhibit some finiteness properties in high dimensions, and to the existence of Eilenberg–Mac Lane spaces with finitely many n-cells for all sufficiently large n. To that end, we determine the structure of completely finitary Gorenstein projective modules over group rings. The methods are inspired by representation theory and make use of the stable module category, in which morphisms are defined through complete cohomology. In order to carry out these methods, we need to restrict ourselves to certain classes of hierarchically decomposable groups.     

A．G．滤环上Holonomic模特征簇的刻划

给出了Ａ．Ｇ．滤环上ｈｏｌｏｎｏｍｉｃ模的特征簇刻划，推广了微分算子环和Ａ．Ｒ．滤环中的相应结果．     

REPRESENTATIONS OF THE TWO PARAMETER DEFORMATION OF THE VIRASORO ALGEBRA

This paper constructs a class of Harish-Chandra modules with multiplicity ≤1 of the two parameter deformation of Virasoro algebra and proves a classification theorem.     

Strongly Irreducible Submodules of Modules

Strongly irreducible submodules of modules are defined as follows： A submodule N of an Rmodule M is said to be strongly irreducible if for submodules L and K of M, the inclusion L ∩ K ∈ N implies that either L ∈ N or K ∈ N. The relationship among the families of irreducible, strongly irreducible, prime and primary submodules of an R-module M is considered, and a characterization of Noetherian modules which contain a non-prime strongly irreducible submodule is given.