德哈斯-范·阿耳芬效应的研究

以朗道反磁性理论为基础，讨论了佩尔斯方法，并用此方法计算了朗道反磁性系统满足条件ｋＢＴ≈μＢεＦ时的ｌｎΞ；解释了德哈斯－范·阿耳芬效应     

关于RC-正则环（英文）

我们利用related单位正则无刻画了正则环的比较结构，进而把文[2]定理中的related单位元推广到了related单位正则无，并给出了RC－正则环的一个局部特征．     

C（X）×＿αZ＿n的理想构造

本文讨论以叉积Ｃ（Ｘ）×＿αＺ＿ｎ的理想构造，这里Ｘ是紧Ｈａｕｓｄｏｒｆｆ空间，α是Ｘ的一个同胚，并且周期为ｎ，即α￣ｎ＝ｉｄ（ｎ是固定的正整数）。我们刻划了Ｃ（Ｘ）×＿αＺ＿ｎ上所有的纯态的西等价类，及其所有的本原理想，由此给出它的任何闭双侧＊理想的特征。     

模糊多属性决策在装备质量评价中的应用

从介绍装备质量的概念开始 ,揭示了装备质量评价的本质——模糊多属性决策 .建立了决策矩阵 ,采用层次分析法得到了各属性的权重 ,采用折衷型模糊多属性决策方法 ,在得到理想解与负理想解之后 ,计算了各方案与理想解和负理想解的欧几里得距离 ,并以远离负理想解为准则完成了装备方案的优选排序 .     

Generic initial ideals of Artinian ideals having Lefschetz properties or the strong Stanley property

For a standard Artinian k-algebra A=R/I, we give equivalent conditions for A to have the weak (or strong) Lefschetz property or the strong Stanley property in terms of the minimal system of generators of gin(I). Using the equivalent condition for the weak Lefschetz property, we show that some graded Betti numbers of gin(I) are determined just by the Hilbert function of I if A has the weak Lefschetz property. Furthermore, for the case that A is a standard Artinian k-algebra of codimension 3, we show that every graded Betti number of gin(I) is determined by the graded Betti numbers of I if A has the weak Lefschetz property. And if A has the strong Lefschetz (respectively Stanley) property, then we show that the minimal system of generators of gin(I) is determined by the graded Betti numbers (respectively by the Hilbert function) of I.     

Adsorption behavior of Vulkan-7H graphitized carbon black

The adsorption behavior of Vulkan-7H carbon black graphitized at 3073 K was studied. Benzene adsorption isotherms at 293 K were measured by the static method and by gas chromatography. It was shown that Vulkan-7H carbon black may be considered as a supermicroporous adsorbent with a pore size of 1.05 nm.The sample was provided by N. N. Lezhnev.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1544–1546, September, 1993.     

Two Remarks on Independent Sets

In the first part we generalize the notion of strongly independent sets, introduced in [10] for polynomial ideals, to submodules of free modules and explain their computational relevance. We discuss also two algorithms to compute strongly independent sets that rest on the primary decomposition of squarefree monomial ideals.Usually the initial ideal in(I) of a polynomial ideal I is worse than I. In [9] the authors observed that nevertheless in(I) is not as bad as one should expect, showing that in(I) is connected in codimension one if I is prime.In the second part of the paper we add more evidence to that observation. We show that in(I) inherits (radically) unmixedness, connectedness in codimension one and connectedness outside a finite set of points from I and prove the same results also for initial submodules of free modules. The proofs use a deformation from I to in(I ).     

关于ann-内射模和ann-平坦模

左R—模E是ann—内射的。如果对于R的每个有限生成右零化子理想r(L)到R的R—模同态都能延拓为到E的R—模同态.同样,我们称左R—模M是ann—平坦的如果对于R的每个有限生成右零化子理想r (L),都可以得到正合列0→r(L)⊕_RM→R__R⊕M.在本文中,我们证明了R—模B是ann—平坦的当且仅当它的示性模B~·=Hom_R(B,Q/Z)是ann—内射的.     

The Stable Class of the Augmentation Ideal

In [F.E.A. Johnson, Stable Modules and the D(2)-Problem, LMS Lecture Notes In Mathematics, vol. 301, CUP (2003)], for finite groups G, we gave a parametrization of the stable class of the augmentation ideal of Z[G] in terms of stably free modules. Whilst the details of this parametrization break down immediately for infinite groups, nevertheless one may hope to find parallel arguments for restricted classes of infinite groups. Subject to the restriction that Ext¹(Z, Z[G]) = 0, we parametrize the minimal level in Ω₁(Z) by means of stably free modules and give a lower estimate for the size of Ω₁(Z).     

Single elements in Banach algebras

This paper provides an abstract characterization of quasitriangular algebras of operators on a separable Hilbert space. The main tool used is the (purely algebraic) concept of a single element. An element s of an algebra A is called single element of A if whenever asb=0 for some a, b in A, at least one of as,sb is zero. A part of this work is of independent interest and this is an attempt to determine an involution in a Banach algebra.