基本内射模的方程组特征

本文定义了左R-模上的基本相容方程组的概念,并由此给出基本内射模的一个等价刻划。这一结论是文[1]结论的推广。     

Impact of Modular Architecture on Activity of Glycoside Hydrolase Family 5 Subfamily 8 Mannanases

Glycoside hydrolase family 5 subfamily 8 (GH5_8) mannanases belong to Firmicutes, Actinomycetia, and Proteobacteria. The presence or absence of carbohydrate-binding modules (CBMs) present a striking difference. While various GH5_8 mannanases need a CBM for binding galactomannans, removal of the CBM did not affect activity of some, whereas it in other cases reduced the catalytic efficiency due to increased K_M. Here, monomodular GH5_8 mannanases from Eubacterium siraeum (EsGH5_8) and Xanthomonas citri pv. aurantifolii (XcGH5_8) were produced and characterized to clarify if GH5_8 mannanases from Firmicutes and Proteobacteria without CBM(s) possess distinct properties. EsGH5_8 showed a remarkably high temperature optimum of 55 °C, while XcGH5_8 had an optimum at 30 °C. Both enzymes were highly active on carob galactomannan and konjac glucomannan. Notably, EsGH5_8 was equally active on both substrates, whereas XcGH5_8 preferred galactomannan. The K_M values were comparable with those of catalytic domains of truncated GH5_8s, while the turn-over numbers (k_cat) were in the higher end. Notably, XcGH5_8 bound to but did not degrade insoluble ivory nut mannan. The findings support the hypothesis that GH5_8 mannanases with CBMs target insoluble mannans found in plant cell walls and seeds, while monomodular GH5_8 members have soluble mannans and mannooligosaccharides as primary substrates.     

一类广义遗传环

称环R为左亚遗传环，如果内射左R－模的商模是FG－内射的，给出了左亚遗传环的一些刻划，给出了左亚遗传环的半单环的条件，并研究了左亚遗传环的一些性质。     

On Modules over Matrix Quantum Pseudo-Differential Operators

We classify all the quasifinite highest-weight modules over the central extension of the Lie algebra of matrix quantum pseudo-differential operators, and obtain them in terms of representation theory of the Lie algebra (, R _m ) of infinite matrices with only finitely many nonzero diagonals over the algebra R _m = [t]/(t ^m+1). We also classify the unitary ones.     

Cancellation Theorems for Projective Modules over a Two-Dimensional Ring and its Polynomial Extensions

We show that over polynomial extensions of normal affine domains of dimension two over perfect fields (char. 2) of cohomological dimension 1, all finitely generated projective modules are cancellative, thus answering a question of Weibel affirmatively in the case of polynomial extensions.     

高校学生收费系统的开发

概要地介绍了笔者自行开发的高校学生收费软件的特色、性能、所采用工作平台和开发工具、主要的功能模块及各模块的基本功能,给出了高校学生收费系统的功能模块图。     

T-余代数上的Yetter-Drinfeld模范畴

研究T-余代数上的Yetter-Drinfeld模的各种性质.设π是一个群,H是T-余代数,对任意的α∈π,则有范畴α-HyDH.设M∈α-HyDH,N∈β-HyDH,证明了M N∈αβ-HyDH;若β∈π,则βM∈βαβ-1-HyDH,从而使HyDH成为T-范畴.构造了HyDH的一个辫结构使得它是辫子张量T-范畴.     

Decomposition of local cohomology tables of modules with large E-depth

We introduce the notion of E-depth of graded modules over polynomial rings to measure the depth of certain Ext modules. First, we characterize graded modules over polynomial rings with (sufficiently) large E-depth as those modules whose (sufficiently) partial general initial submodules preserve the Hilbert function of local cohomology modules supported at the irrelevant maximal ideal, extending a result of Herzog and Sbarra on sequentially Cohen-Macaulay modules. Second, we describe the cone of local cohomology tables of modules with sufficiently high E-depth, building on previous work of the second author and Smirnov. Finally, we obtain a non-Artinian version of a socle-lemma proved by Kustin and Ulrich.