数学季刊

李育强

1994, 9(4): 1-3.

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The bondage number b(G)of a graph G is defined to be the cardinality of a smallest set E of edges for which λ(G-B)>λ(G).In this paper,we get the bondage number of P₂×P..

On the Equation n =p +k² in Short Intervals

王天泽

1994, 9(4): 4-7.

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Denote by R(X,Y) the number of integers n∈[x,X+Y]which is not the sum of a prime and a square.In this paper we prove that E(X,Y)<Y(logX)⁻*for any A>0 provided that Y≥x⁺ .

Hypersurface with Constant Main Curvature Symmetric Functions

吴报强, 宋鸿藻

1994, 9(4): 8-13.

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Let M be a compact hypersurface in an(n+1)-dimensional complete constant curvature space N(c).If Ricci curvature of M is not less than max{0,(n-1)c}and there is a constant main curvature function in M,then M can be classified completly.This is the Liebmann theorem in the widest sense so far.The methods used in this paper can be used to generalize a class of theorems with non-negative(or positive)sectional curvature conditions.

On the Characteristic of Proper Lattice Implication Algebras

徐扬, 秦克云

1994, 9(4): 14-17.

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In this paper ,the concept of representation of lattice implication algebra is proposed,some properties of representation are discussed,a characteristic of proper lattice implication algebra and representation theorem of Lattice implication algebra are given.

Conditions of LU as M, H-matrix

王华, 李清, 王川龙

1994, 9(4): 18-21.

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L is a lower triangular matrix,U is a upper triangular matrix,in this paper,we give suffioient and necessary conditons of L as Mand II-matrix.

A Further Study of the System of Matrix Equations over a Skew Field

王卿文, 王德胜

1994, 9(4): 22-30.

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Let P,Qand Q be an arbitrary skew field,a skew field with an involutorial antiautomorphism, a strong p-division ring,respectively.This paper is sequel to[1].A practical method of finding the general solution of the system of matrix equations over F ... presented.The necessary and sufficient conditions for the existence of and the explicit expressions for the self-conjugate matrix solution over Q,the positive semidefinite self-conjugate matrix solution over Q of the system are derived.

Images and Preimages of D₀ Spaces

戴牧民, 陈海燕

1994, 9(4): 31-36.

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This paper is devoted to the images and preimages of D_o spaces.First of all,we prove that the preimage X_o f a D_ospace Y under a perfect mapping f is a D_ospace whenever X has a G_i-diagonal or every compact subset of X if G. And then we give a representation theorem of D_o spaces. At last,we give a characterization of countably compact D_o spaces.

Dynamics of Polynomial Automorphisms of C^N

张文俊

1994, 9(4): 37-45.

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This paper is assigned to discuss the dynamics of a special class of polynomial automorphisms of C which was shown to be dense in the group of the polynomial automorphisms.We give some results about the analytic and geometric properties of the filled-in Julia set and the nonwandering set.We also make a characterization of the stable and unstable manifold for the filled-in Julia set.Furthermore,the number of the fixed points for such maps is studied.

Graphlike Manifolds

刘亚星, 李起升

1994, 9(4): 46-51.

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The discovery of manifold is a major advance in modern mathematics.In 1974,J.W.Morgan and D.P.Sullivan Suggest the concept of a Z/n manifold.We think that,it is more useful to suggest the concept of a graphlike manifold and research related topics.And these works will be done in this paper.

A Necessary and Sufficient Condition Satisfied by Decomposable Elements in Completely Symmetrical Tensor Spaces

朱忠南

1994, 9(4): 52-60.

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In this paper,using the parameter method the author reduces the problem of the necessary and sufficient condition of decomposable elements in V'm)to the problem of decomposability of completely sym- metrical tensors of type I and type I,by means of the equivalence transformation of decomposability of completely symmetrical tensors.It shows that the generated matrix of decomposable elements is obtained by the row elementary transformation,a necessary and sufficient condition that the type I and I of completely symmetrical tensors are decomposable elements is also obtained.

On the Construction of d-Continuous Modules over Some Special Rings

陈晋健

1994, 9(4): 61-63.

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In the paper,we using the notation in [1],determine the structure of d-continuous modules over some special rings.

Fixed Point Theorems for Nonlinear Semigroups of Lipschitzian Mappings in Uniformly Convex Spaces

曾六川

1994, 9(4): 64-73.

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The Property of Curve Triangle Number Table and Its Application

黄天民, 何一农

1994, 9(4): 74-78.

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The calculation of the number of relations on a finite set is interesting,it is related to the world famous question “the number of topology ona”. In this paper,we discussed the relation between the numbers of a curve triangle number table,it is similar to Pascal triangle,gave the number of solutions of infinite equation (*) and obtained the new combination meaning of Catalan number:similar to the second class Striling number,it is the number of equivalent class of a relation.

Some Weighted Norm Inequalities for the Fourier Transform of Functions with Vanishing Moments

李登峰

1994, 9(4): 79-82.

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刘士强, 李星

1994, 9(4): 83-90.

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L-fuzzy Group (Ⅱ)

姜保庆, 孙荣光

1994, 9(4): 91-97.

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This paper is a continuation of [1].In paper[1],the concept of LFgroup was introduced.In this paper,the concept of OP homomorphism will be introduced and its properties will be discussed.

Absolute Continuity of Measures Corresponding to Two Processes of the Diffusion Type

易东云

1994, 9(4): 98-99.

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董道珍, 郑学安

1994, 9(4): 100-106.

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In this paper,we have given a necessary condition and a Sufficient condition of bounded Fourier multiplier of II(M).

由《中国现代数学家传》的出版所想到的

杨中和

1994, 9(4): 107-107.

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