Associated primes of graded components of local cohomology modules

The -th local cohomology module of a finitely generated graded module over a standard positively graded commutative Noetherian ring , with respect to the irrelevant ideal , is itself graded; all its graded components are finitely generated modules over , the component of of degree . It is known that the -th component of this local cohomology module is zero for all > 0$">. This paper is concerned with the asymptotic behaviour of as .

The smallest for which such study is interesting is the finiteness dimension of relative to , defined as the least integer for which is not finitely generated. Brodmann and Hellus have shown that is constant for all (that is, in their terminology, is asymptotically stable for ). The first main aim of this paper is to identify the ultimate constant value (under the mild assumption that is a homomorphic image of a regular ring): our answer is precisely the set of contractions to of certain relevant primes of whose existence is confirmed by Grothendieck's Finiteness Theorem for local cohomology.

Brodmann and Hellus raised various questions about such asymptotic behaviour when f$">. They noted that Singh's study of a particular example (in which ) shows that need not be asymptotically stable for . The second main aim of this paper is to determine, for Singh's example, quite precisely for every integer , and, thereby, answer one of the questions raised by Brodmann and Hellus.

     

基于风险管理的软件生命周期模型研究

针对现有软件项目风险管理中存在的问题,通过对几种常见软件生命周期模型的分析,探讨了将改进的瀑布型模型的每一阶段与风险管理相结合的风险识别法,提出了基于风险管理的软件生命周期模型的研究,使项目管理人员能将风险模板作为一种工具,对可能发生的风险进行有效的控制和管理,并对软件风险的关联和转移有新的认识。     

液晶显示器汉字字模存储方法

描述了图形液晶模块的汉字显示方法,以8051单片机为基础,介绍了液晶模块与单片机的典型接口电路;叙述了单片机系统中3种汉字字模存储和提取的方法:一是字模存放在程序存储器中;二是通过外扩的E2PROM存储汉字字模数据,将其作为外部数据存储器进行寻址;三是使用外扩的E2PROM存储整个汉字库,通过汉字区位码寻址汉字库进行字模提取。     

封装技术评述

评述了当前封装技术的特点以及应用,介绍了多芯片组件、突点互连技术、球栅阵列、板上芯片、板上倒装芯片和柔性电路板上芯片技术以及片上引线与引线上芯片技术。     

Composition series of modules over Prüfer domains

A weakened version of the Jordan-Hölder theorem is shown to hold for torsion-free finite rank modules over an integral domain precisely when is a Prüfer domain.

     

En">Characters and Composition Factor Multiplicities for the Lie Superalgebra $${\mathfrak{g}}{\mathfrak{l}}$$ ( m / n )

The multiplicities a of simple modules L in the composition series of Kac modules V lambda for the Lie superalgebra (m/n ) were described by Serganova, leading to her solution of the character problem for (m/n ). In Serganova's algorithm all with nonzero a are determined for a given this algorithm, turns out to be rather complicated. In this Letter, a simple rule is conjectured to find all nonzero a for any given weight . In particular, we claim that for an r-fold atypical weight there are 2r distinct weights such that a = 1, and a = 0 for all other weights . Some related properties on the multiplicities a are proved, and arguments in favour of our main conjecture are given. Finally, an extension of the conjecture describing the inverse of the matrix of Kazhdan–Lusztig polynomials is discussed.     

Finite Group Schemes over Bases with Low Ramification

Let A be a complete characteristic (0,p) discrete valuation ring with absolute ramification degree e and a perfect residue field. We are interested in studying the category FF _A' of finite flat commutative group schemes over A withp-power order. When e= 1, Fontaine formulated the purely linear algebra notion of a finite Honda system over A and constructed an anti-equivalence of categories betweenineFF _A'> and the category of finite Honda systems over A when p> 2. We generalize this theory to the case e – 1.     

硅基多层布线集成组装技术

本文叙述了多芯片组件和多层布线集成组装技术的研究和进展,介绍了硅基多层布线集成组装技术的特点和设计考虑,扼要地叙述了硅基多层布线的制造工艺,并讨论了工艺中所出现的问题。     

⊕-Cofinitely Supplemented Modules

Let R be a ring and M a right R-module. M is called -cofinitely supplemented if every submodule N of M with M/N finitely generated has a supplement that is a direct summand of M. In this paper various properties of the -cofinitely supplemented modules are given. It is shown that (1) Arbitrary direct sum of -cofinitely supplemented modules is -cofinitely supplemented. (2) A ring R is semiperfect if and only if every free R-module is -cofinitely supplemented. In addition, if M has the summand sum property, then M is -cofinitely supplemented iff every maximal submodule has a supplement that is a direct summand of M.