Chinese Quarterly Journal of Mathematics

Huang Junmin

1998, 13(2): 1-4.

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In this paper,we introduce the notion of _λ[S]([S] ρ) semigroup with the inner left and right translations of semigroup S,hence define the homomorphic mapping λ from _λ[S] to S and we have λ[S]/kerλS λS and λ(J( λ[S])=J(S λ),J(S λ) is the Jacobson radical of S λ.

The Fundamental Theorem of Ultraproducts inLattice- valued Model for Lα Logi

Song Jie

1998, 13(2): 5-9.

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In this paper we add some new corcollary and theorems to [1],in particular,we show the fundamental theorem of ultraproducts in lattice valued model for L α logic. As a corollary,we get the α compactness theorem for Lα logic.

L^s-norm Estimates of Solutions for theImhomogeneous Cauchy- Riemann Equation

Lu Yongjing, Ma Zhongtai

1998, 13(2): 10-15.

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In this paper,we discussed the local integral solution operators of imhomogeneous Cauchy Riemann equations on an open set with piecewise C^k boundary in Cⁿ,as a generalization of the solution opertators for Leray map S(z,ζ) which do not depends holomorphic on z∈D in Koppelman formula is obtained and the L^s norm estimates for the solution operators are the same as that [10] in forms.

An Involution on a Closed Manifold with the Fixed Point Set RP(1 )∪P(m,n)

Guo Haiying

1998, 13(2): 16-26.

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In this paper,we study all the possible bordism classes for a smooth involution on a smooth closed manifold whose fixed point set is RP(1)∪P(m,n),m>0,n>0.

Characterization of Hereditary Rings ViaInjectivity and Projectivity Classes

Yu Zenghai, Duan Haisheng

1998, 13(2): 27-30.

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In this note,some characterizations of hereditary rings using injectivity classes and projectivity classes are given.These results unify many well known results.

Asymptotic Behavior of Oscillatory Solutions of Forced Nonlinear Neutral Delay Differential Equations

Luo Jiaowan, Hou Zhenting, He Chuntian

1998, 13(2): 31-35.

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The aim of this paper is to study the asymptotic behavior of the oscillatory solutions of forced nonlinear neutral equations of the form …. The results obtained here extend and improve some of the results of Ladas and Sficas [3] and J.R.Yan [5].

On the Decomposition of Hopf Module Coalgebra

Jiao Zhengming, Wang Shuanhong, Zhao Wenzheng

1998, 13(2): 36-40.

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In this paper, the module coradical is introduced. From this, we show that any Hopf module coalgebra which is local finite can be uniquely decomposed into a direct sum of its indecomposable components. This result is a generalization of the decompostion theorem of coalgebra.

A Note on Property of Cauchy Integral on Classical Domains

Yin Chengyuan

1998, 13(2): 41-43.

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In this note,some properties of Cauchy integral of L 2 on classical domains in several complex variable are obtained.

On Relationships Between Semi- antichains andUnichain Coverings in Discrete Mathematics

Wu Chen

1998, 13(2): 44-48.

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The paper explores the relationships between the largest cardinality of a semi antichain and the smallest cardinality of its unichain covering on the direct product space induced by two partially ordered sets,through studying on partially ordered sets. A sufficient condition under which they are equal is obtained.

Quasi- Einstein Hypersurfaces in a Hyperbolic Space

Zhao Peibiao, Song Hongzao

1998, 13(2): 49-52.

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In this paper,we consider quasi Einstein hypersurfaces in a hyperbolic space. The following theorem is obtained. Theorem Quasi Einstein hypersurfaces of a hyperbolic space are of constant curvature,where the dimension is large enough.

Fuzzy Ordered Filters in Implicative Semigroups

S．W．Kuresh, Y．B．Jun, Huang Wenping

1998, 13(2): 53-57.

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We fuzzify the concept of ordered filter in implicative negatively partially ordered semigroups and study its properties.

Classification of Finite Groups Whose Cyclic Subgroups of Composite Order are Subnormal

Li Shirong, Pang Sulin

1998, 13(2): 58-63.

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In this paper we classify the finite groups whose all cyclic subgroups of composite order are subnormal.

K - Bounded Sets and A - Spaces

Wu Junde

1998, 13(2): 64-66.

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Let E and F be two vector spaces in duality with respect to the bilinear pairing 〈,〉. The weak (Mackey,strong) topology on E will be denoted by σ(E,F) (τ(E,F),β(E,F)). In this paper,we show that AE is σ(E,F) K bounded subset if and only if A is β(E,F) K bounded subset. If τ(E′,E) is a quasi barrelled space,we also give a few characterizations for (E,T) to be A space.

A Note on the π- regularity of Rings

Chen Huanyin

1998, 13(2): 67-71.

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In this paper,we investigate unitπ regularity and strongly π regularity. We show that every corner ring eRe inherits the unit π regularity from a ring R. We also generalize some important characterizations of abelian regular rings to π regular rings and describe strongly π regular rings by virtue of group members.

An Improved Solow-Swan Model

Cai Donghan

1998, 13(2): 72-78.

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In this paper,under the assumption that the labor force function increases strictly and is bounded and the labor force growth rate function decreases monotonically from a positive value to zero,we obtain an improved Solow Swan model. We prove that the per capita capital trends stabilitily to the steady state of the classical Solow Swan model with zero the labor force growth rate. Two comparison theorems,a limited theorem and a stability theorem are given. At the end of this paper,we give an example and discuss the economic meaning of this model and the theorems.

The Singularly Perturbed Nonlinear Elliptic Integral Differential Equations of Fourth Order

Mo Jiaqi, Huang Weizhang

1998, 13(2): 79-83.

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The singular perturbation problems for nonlinear elliptic integral differential equations of fourth order are considered.The uniformal valid asymptotic expansion of the solution is obtained.

The 0 ,1 - Distribution of the First CoordinateSequences Derived from ML- Sequences over Z/（2^e）

Zhu Yuefei, Li Yuqiang

1998, 13(2): 84-90.

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The 0,1 distribution of the first coordinate sequences derived from the maximal lenght sequences （ML sequences） over Z/（2^e） is exactly given.

The Explicit Expressions of Level- k(r₁,r₂ ,… ,r_k) Circulant Matrices and Their Some Properties

Jiang Zhaolin, Ye Liuqing, Deng Fangʾ an

1998, 13(2): 91-96.

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In this paper,we give the explicit expressions of level k(r₁,r₂ ,… ,r_k) circulant matrices of order n ₁n ₂…n_k,and the explicit expressions for the eigenvalues,the determinants and the inverse matrices of the kind level k(r₁,r₂ ,… ,r_k) circulant matrices are derived,and it is also proved that the sort of matrices are diagonalizable. 摘要：In this paper,we give the explicit expressions of level k(r₁,r₂ ,… ,r_k) circulant matrices of order n ₁n ₂…n_k,and the explicit expressions for the eigenvalues,the determinants and the inverse matrices of the kind level k(r₁,r₂ ,… ,r_k) circulant matrices are derived,and it is also proved that the sort of matrices are diagonalizable.

Constitution of Hamiltonian Function and Solution of Optimal Control of a Sort of Performance Index

Liu Xianxing, Wen Chenglin

1998, 13(2): 97-102.

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Hamiltonian function is firstly constituted for solving optimal control. When character of controlled object is known,Hamiltonian function is determined by performance index. In this paper,by constituting Hamiltonian function and solving optimal control of a sort of performance index,we can understand optimal control theory and apply optimal control method better.

Properties for a Class of Holomorphic Mapson Hilbert Space

Zhu Jianmin

1998, 13(2): 103-106.

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In this note we deal with a class of holomorphic maps with generalized positive real part on Hilbert space. The distortion theorem and Pick Julia type theorem for these maps are obtained.

Supersemiprime Rings and Supersemiprime Radical

Zhang Xianjun, Jin Tingliang

1998, 13(2): 107-110.

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In this paper,supersemiprime ring is introduced,relations among the supersemiprime rings and the some rings around it are discussed,supersemiprime radical and its properties are studied.

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