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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
0304-9914
eISSN :
2234-3008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Yun Sung Choi
Volume & Issues
Volume 49, Issue 6 - Nov 2012
Volume 49, Issue 5 - Sep 2012
Volume 49, Issue 4 - Jul 2012
Volume 49, Issue 3 - May 2012
Volume 49, Issue 2 - Mar 2012
Volume 49, Issue 1 - Jan 2012
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1
COVERS OF ALGEBRAIC VARIETIES VI. ANGLO-AMERICAN COVERS AND (1,3)-POLARIZED ABELIAN SURFACES
Casnati, Gianfranco ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 1~16
DOI : 10.4134/JKMS.2012.49.1.001
Abstract
In the present paper we describe a class of Gorenstein, finite and at morphism
:
of degree 6 of algebraic varieties, called Anglo-American covers. We prove a general Bertini theorem for them and we give some evidence that the cover
:
associated general (1, 3)-polarized abelian surface is Anglo-American.
2
ON BOUNDARY REGULARITY OF HOLOMORPHIC CORRESPONDENCES
Ourimi, Nabil ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 17~30
DOI : 10.4134/JKMS.2012.49.1.017
Abstract
Let D be an arbitrary domain in
, n > 1, and
be an open piece of the boundary. Suppose that M is connected and
is smooth real-analytic of finite type (in the sense of D`Angelo) in a neighborhood of
. Let f :
be a holomorphic correspondence such that the cluster set
(M) is contained in a smooth closed real-algebraic hypersurface M` in
of finite type. It is shown that if f extends continuously to some open peace of M, then f extends as a holomorphic correspondence across M. As an application, we prove that any proper holomorphic correspondence from a bounded domain D in
with smooth real-analytic boundary onto a bounded domain D` in
with smooth real-algebraic boundary extends as a holomorphic correspondence to a neighborhood of
.
3
HOMOLOGICAL PROPERTIES OF MODULES OVER DING-CHEN RINGS
Yang, Gang ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 31~47
DOI : 10.4134/JKMS.2012.49.1.031
Abstract
The so-called Ding-Chen ring is an n-FC ring which is both left and right coherent, and has both left and right self FP-injective dimensions at most n for some non-negative integer n. In this paper, we investigate the classes of the so-called Ding projective, Ding injective and Gorenstein at modules and show that some homological properties of modules over Gorenstein rings can be generalized to the modules over Ding-Chen rings. We first consider Gorenstein at and Ding injective dimensions of modules together with Ding injective precovers. We then discuss balance of functors Hom and tensor.
4
ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS
Bae, Sung-Han ; Jung, Hwan-Yup ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 49~67
DOI : 10.4134/JKMS.2012.49.1.049
Abstract
In this paper we give asymptotic formulas for the number of
-cyclic extensions of the rational function field $k
5
EXPLICIT FORMULAS FOR THE BERGMAN KERNEL ON CERTAIN FORELLI-RUDIN CONSTRUCTION
Zhang, Liyou ; Wang, An ; Li, Qingbin ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 69~83
DOI : 10.4134/JKMS.2012.49.1.069
Abstract
In this note, we present certain circular domain, named Forelli-Rudin construction or Hua construction, which is built on Cartan domains. We compute the explicit Bergman kernel for it and get the corresponding weighted Bergman kernel on its base.
6
THE TOTAL GRAPH OF A COMMUTATIVE RING WITH RESPECT TO PROPER IDEALS
Abbasi, Ahmad ; Habibi, Shokoofe ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 85~98
DOI : 10.4134/JKMS.2012.49.1.085
Abstract
Let R be a commutative ring and I its proper ideal, let S(I) be the set of all elements of R that are not prime to I. Here we introduce and study the total graph of a commutative ring R with respect to proper ideal I, denoted by T(
). It is the (undirected) graph with all elements of R as vertices, and for distinct x, y
R, the vertices x and y are adjacent if and only if x + y
S(I). The total graph of a commutative ring, that denoted by T(
), is the graph where the vertices are all elements of R and where there is an undirected edge between two distinct vertices x and y if and only if x + y
Z(R) which is due to Anderson and Badawi [2]. In the case I
7
JACOBI DISCRETE APPROXIMATION FOR SOLVING OPTIMAL CONTROL PROBLEMS
El-Kady, Mamdouh ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 99~112
DOI : 10.4134/JKMS.2012.49.1.099
Abstract
This paper attempts to present a numerical method for solving optimal control problems. The method is based upon constructing the n-th degree Jacobi polynomials to approximate the control vector and use differentiation matrix to approximate derivative term in the state system. The system dynamics are then converted into system of algebraic equations and hence the optimal control problem is reduced to constrained optimization problem. Numerical examples illustrate the robustness, accuracy and efficiency of the proposed method.
8
EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA
Bae, Hyeong-Ohk ; Jin, Bum-Ja ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 113~138
DOI : 10.4134/JKMS.2012.49.1.113
Abstract
We construct a mild solutions of the Navier-Stokes equations in half spaces for nondecaying initial velocities. We also obtain the uniform bound of the velocity field and its derivatives.
9
CROSS COMMUTATORS ON BACKWARD SHIFT INVARIANT SUBSPACES OVER THE BIDISK II
Izuchi, Kei Ji ; Izuchi, Kou Hei ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 139~151
DOI : 10.4134/JKMS.2012.49.1.139
Abstract
In the previous paper, we gave a characterization of backward shift invariant subspaces of the Hardy space over the bidisk on which [
,
]
10
POSITIVE SOLUTIONS FOR A CLASS OF TELEGRAPH SYSTEM WITH MULTIPARAMETERS
Wang, Fanglei ; An, Yukun ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 153~164
DOI : 10.4134/JKMS.2012.49.1.153
Abstract
In this paper, we study the existence, non-existence, and multiplicity of positive solutions for a coupled telegraph system using the xed-point theorem of cone expansion/compression type, the upper-lowe solutions method, and xed point index theory.
11
ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS
Zhu, Yujun ; Liu, Zhaofeng ; Xu, Xueli ; Zhang, Wenda ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 165~185
DOI : 10.4134/JKMS.2012.49.1.165
Abstract
In this paper, the topological entropy and measure-theoretic entropy for nonautonomous dynamical systems are studied. Some properties of these entropies are given and the relation between them is discussed. Moreover, the bounds of them for several particular nonautonomous systems, such as affine transformations on metrizable groups (especially on the torus) and smooth maps on Riemannian manifolds, are obtained.
12
STRONG CONVERGENCE OF AN EXTENDED EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
Kim, Jong-Kyu ; Anh, Pham Ngoc ; Nam, Young-Man ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 187~200
DOI : 10.4134/JKMS.2012.49.1.187
Abstract
In this paper, we introduced a new extended extragradient iteration algorithm for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a monotone and Lipschitz-type continuous mapping. And we show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.
13
NOMALIZERS OF NONNORMAL SUBGROUPS OF FINITE p-GROUPS
Zhang, Qinhai ; Gao, Juan ;
Journal of the Korean Mathematical Society, volume 49, issue 1, 2012, Pages 201~221
DOI : 10.4134/JKMS.2012.49.1.201
Abstract
Assume G is a finite p-group and i is a fixed positive integer. In this paper, finite p-groups G with ${\mid}N_G(H):H{\mid}