(a,b,k)-临界图(英)

设G是一个图且设a，b是非负整数，a＜b．如果消去G的任意K个顶点剩下的图有[a，b]-因子，则称图G是（a，b，k）-临界图，本文给出了一个图是（a，b，k）-临界图的一个充分必要条件，讨论了该条件的一些应用，研究了（a，b，k）-临界图的性质。     

Overgroups of SU(n,K, f) or Ω(n,K, Q) in GL(n,K)

All the overgroups of SU(n, K, f) or (n, K, Q) in GL(n, K) are determined, for arbitrary division rings K and arbitrary forms f or Q with positive Witt indices.     

(I,K)-(m,n)-内射环

引入了(I,K)-(m,n)-内射环的概念,给出了(I,K)-(m,n)-内射环的等价刻划.讨论了(I,K)-(m,n)-内射环与(I,K)-(m,1)-内射环之间的关系及左(I,K)-(m,n)-内射环和右(I,K)-(m,n)-内射环的关系.证明了R是右(I,K)-(m,n)-内射环当且仅当如果z=(m1,m2,…,mn)∈Kn且A∈Im×n,rR(A)∈rRn(z),则存在y∈Km,使得z=yA推广了已知的相关结论.     

ELEMENTARY ASPECTS OF B_(p,q)~S(K_n) AND F_(p,q)~S(K_n) SPACFS

In the first part of this paper,we discuss some properties of S~Ω(K_n),L_p~Ω(K_n) andL_p~Ω(K~n;l_a) spaces,give the Plancherel-Polya-Nikol'skij type inequalities and some multipli-er theorems.In the second part of this paper,using the results of Part I we prove some prelimi-nary results for the spaces B_(p,q)~s(K_n) and F_(p,q)~s(K_n).     

AgL(m,n)的gL(m,n)模结构

设g=g_(-1)+g_0+g_1是由阶化向量空间V=V_0+V_1的线性变换所构成的李超代数。通过上诱导模,定义了外代数Λ(g_1)的g模结构,这儿g_1=V_1(?)V_0~*,并决定了它的全部子(g_0+g_1),(g_0+g_(-1))、g模。     

The spectrum of (gv, g, 3, λ)-DF in Z_(gv)

In this paper, the necessary and sufficient conditions for the existence of a (gv, g, 3, λ)- difference family in Zgv are established. As a consequence, the existence spectrum of a cyclic (3, λ)-GDD of type gv without short orbits is determined.     

(s,t,d)-bi-Koszul代数

本文关注具有non-pure分解的1次生成正分次代数,主要讨论作为bi-Koszul代数的推广的一类新的代数(s,t,d)-bi-Koszul代数.用两个具有pure分解的周期代数可以获得(s,t,d)-bi-Koszul代数.本文讨论了(s,t,d)-bi-Koszul代数的Koszul对偶的生成性,在此基础上,提出了强(s,t,d)-bi-Koszul代数的概念并且进一步讨论了它们的同调性质.     

典型群PSU(3,q~2)与2-(v,k,1)设计

讨论自同构群是酉群 PSU(3 ,q2 ) (q=2 l)的区 -本原的 2 -(v,k,1 )设计 .首先证明了它必是点 -本原的 ,然后确定了这种类型的设计 ,即它只能为 2 -(q3+1 ,q+1 ,1 )设计     

U(4,Z)的自同构群(英文)

In this paper,the automorphism group of G is determined,where G is a 4 × 4 upper unitriangular matrix group over Z.Let K be the subgroup of AutG consisting of all elements of AutG which act trivially on G/G,G /ζG and ζG,then （i） InnG ■ K ■ AutG;（ii） AutG/K≌=G₁×D₈×Z₂,where G₁=(a,b,c|a⁴=b²=c²=1,a^b=a^-1,[a,c]= [b,c]=1 ;（iii） K/Inn G≌=Z×Z×Z.     

l_p(Γ,X)的λ性质(英文)

本文讨论lp（Γ．X）和（ΓXt）lp的λ性质和λ-函数，从而回答了[1]的一个公开问题．     

二分(mg,mf)-图中的(g,f)-因子

设G是一个二分图具有顶点集V（G）和边集E（G）。设g和f是定义在V（G）上的两个正整值函数使对任意的x∈V（G）有g(x)≤f(x)，G的一个（g,f）－因子H是G的一个生成子图满足g(x)≤dH(x)≤f(x）。若图G本身是一个（g,f）－因子，则称G是一个（g,f）－图。本文得到一个（mg,mf）－图具有特殊性质的（g,f）－因子的充分条件，从而推广了文献[6]中的一个结果。     

(g,f)-factors with Special Properties in(mg,mf)-graphs

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Consecutive-(r,f,k) out-of-n:F和Consecutive-(f,g)-out-of-(r,n):F线性系统的可靠性

Consecutive-(r,f,k)-out-of-n:F系统由n个单元顺序连结而成,仅当在连续的r个单元中,至少有f个失效或者至少连续k个失效,整个系统才失效;而Consecutive-(f,g)-out-of-(r,n):F系统由n个单元顺序连结而成,仅当在整个系统中至少有f个失效或者在连续的r个单元中,至少有g个失效,整个系统才失效。本文运用马氏链嵌入方法,在单元之间相互独立以及单元之间马氏相关这两种情况下,给出线性系统的可靠性。     

(φ,γ)-凸函数与(φ,γ)-次微分

定义了基于Ben-T al广义代数运算的(,φγ)-凸函数,(φ,γ)-次微分,进而获得了关于(,φγ)-凸函数及(φ,γ)-次微分的一些分析性质.讨论了(φ,γ)-凸函数的等价条件.     

Fuzzy (Θ, S)-continuity and fuzzy (Θ, S)-closed graphs

The concept of (,s)-continuity [6] is considered and studied in fuzzy setting. It is seen that althought it is independent with each of the concepts of fuzzy continuity [2], fuzzy -continuity [10], fuzzy almost continuity [1] and fuzzy semicontinuity [1]; it implies fuzzy weak continuity [1], but the converse may not be true. The image of a compact fts [2] under a fuzzy (,s)-continuous surjective function isS-closed [5]. Finally the concepts of fuzzy (,s)-closed graphs, fuzzy (,s)-T ₂ spaces and fuzzy Urysohn spaces are introduced and mainly their connections with fuzzy (,s)-continuity are studied.     

U(3,Z_p),U(4,Z_p)及U(5,Z_p)的共轭类

通过计算相关矩阵的秩,求出了U(3,Z_p),U(4,Z_p)及U(5,Z_p)的共轭类.     

SOME PROPERTIES OF (A)ρω(X,μ)

In this paper, we shall give a necessary and sufficient condition for which the dual of (A)pω(X, M,μ)(0 ＜ p ＜∞) is zero , and a necessary and sufficient condition for which (A)pω(X,M,μ) (0 ＜ p ＜1) is normable.     

(λ,μ)直觉模糊子环(理想)

在直觉模糊集理论的基础上,首先引入了(λ,μ)直觉模糊子环和(λ,μ)直觉模糊理想的概念,讨论了它们的相关性质;其次在环同态的意义下,研究了(λ,μ)直觉模糊子环和(λ,μ)直觉模糊理想的同态像及其逆像.