권호 표지

Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society

  • Bimonthly
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)

Aim & Scope

This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).

http://jkms.kms.or.kr/submission KSCI KCI SCOPUS SCI SCIE

Volume 47 Issue 1

  1. Chen, Huanyin 1
    https://doi.org/10.4134/JKMS.2010.47.1.001 PDF KSCI
    We introduce, in this article, the quasi-stable exchange ideal for associative rings. If I is a quasi-stable exchange ideal of a ring R, then so is $M_n$(I) as an ideal of $M_n$(R). As an application, we prove that every square regular matrix over quasi-stable exchange ideal admits a diagonal reduction by quasi invertible matrices. Examples of such ideals are given as well.
  2. Bot, Radu Ioan;Lorenz, Nicole;Wanka, Gert 17
    https://doi.org/10.4134/JKMS.2010.47.1.017 PDF KSCI
    In this paper we deal with linear chance-constrained optimization problems, a class of problems which naturally arise in practical applications in finance, engineering, transportation and scheduling, where decisions are made in presence of uncertainty. After giving the deterministic equivalent formulation of a linear chance-constrained optimization problem we construct a conjugate dual problem to it. Then we provide for this primal-dual pair weak sufficient conditions which ensure strong duality. In this way we generalize some results recently given in the literature. We also apply the general duality scheme to a portfolio optimization problem, a fact that allows us to derive necessary and sufficient optimality conditions for it.
  3. Rakbud, Jitti;Chaisuriya, Pachara 29
    https://doi.org/10.4134/JKMS.2010.47.1.029 PDF KSCI
    In this paper, we study a generalization of the Banach space B($l_2$) of all bounded linear operators on $l_2$. Over this space, we present some reasonable ways to define Schatten-type classes which are generalizations of the classical Schatten classes of compact operators on $l_2$.
  4. Hassett, Brendan;Hyeon, Dong-Hoon;Lee, Yong-Nam 41
    https://doi.org/10.4134/JKMS.2010.47.1.041 PDF KSCI
    In this article, we discuss a Grobner basis algorithm related to the stability of algebraic varieties in the sense of Geometric Invariant Theory. We implement the algorithm with Macaulay 2 and use it to prove the stability of certain curves that play an important role in the log minimal model program for the moduli space of curves.
  5. Yu, Zhensheng;Zang, Jinsong;Liu, Jingzhao 63
    https://doi.org/10.4134/JKMS.2010.47.1.063 PDF KSCI
    In this paper, we develop a nonmonotone spectral memory gradient method for unconstrained optimization, where the spectral stepsize and a class of memory gradient direction are combined efficiently. The global convergence is obtained by using a nonmonotone line search strategy and the numerical tests are also given to show the efficiency of the proposed algorithm.
  6. Song, Seok-Zun;Park, Kwon-Ryong;Encinas, L. Hernandez 71
    https://doi.org/10.4134/JKMS.2010.47.1.071 PDF KSCI
    We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme cases with respect to maximal column rank inequalities of matrix multiplications over semirings.
  7. Baek, Hun-Ki;Kim, Sang-Dong;Lee, Hyung-Chun 83
    https://doi.org/10.4134/JKMS.2010.47.1.083 PDF KSCI
    In this article, an optimal control problem associated with convection-diffusion equation is considered. Using Lagrange multiplier, the optimality system is obtained. The derived optimal system becomes coupled, non-symmetric partial differential equations. For discretizations and implementations, the finite element multigrid V-cycle is employed. The convergence analysis of finite element multigrid methods for the derived optimal system is shown. Some numerical simulations are performed.
  8. Woo, Sung-Sik 101
    https://doi.org/10.4134/JKMS.2010.47.1.101 PDF KSCI
    In [3] we showed that a polynomial over a Noetherian ring is divisible by some other polynomial by looking at the matrix formed by the coefficients of the polynomials which we called the resultant matrix. In this paper, we consider the polynomials with coefficients in a field and divisibility of a polynomial by a polynomial with a certain degree is equivalent to the existence of common solution to a system of Diophantine equations. As an application we construct a family of irreducible quartics over $\mathbb{Q}$ which are not of Eisenstein type.
  9. Lee, Jung-Hoon 113
    https://doi.org/10.4134/JKMS.2010.47.1.113 PDF KSCI
    In [4], we gave a condition for a pair of unknotting tunnels of a non-trivial tunnel number one link to give a genus three Heegaard splitting of the link complement. In this paper we prove the corresponding result for tunnel number one knots.
  10. Zadeh, Mostafa Esfahani 123
    https://doi.org/10.4134/JKMS.2010.47.1.123 PDF KSCI
    The aim of this paper is to provide a proof for a version of the Morse inequalities for manifolds with boundary. Our main results are certainly known to the experts on Morse theory, nevertheless it seems necessary to write down a complete proof for it. Our proof is analytic and is based on the J. Roe account of Witten's approach to Morse Theory.
  11. Liu, Yu-Ji 135
    https://doi.org/10.4134/JKMS.2010.47.1.135 PDF KSCI
    Motivated by [Science in China (Ser. A Mathematics) 36 (2006), no. 7, 721?732], this article deals with the following discrete type BVP $\LARGE\left\{{{\;{\Delta}[{\phi}({\Delta}x(n))]\;+\;f(n,\;x(n\;+\;1),{\Delta}x(n),{\Delta}x(n + 1))\;=\;0,\;n\;{\in}\;[0,N],}}\\{\;{x(0)-{\sum}^m_{i=1}{\alpha}_ix(n_i) = A,}}\\{\;{x(N+2)-\;{\sum}^m_{i=1}{\beta}_ix(n_i)\;=\;B.}}\right.$ The sufficient conditions to guarantee the existence of at least three positive solutions of the above multi-point boundary value problem are established by using a new fixed point theorem obtained in [5]. An example is presented to illustrate the main result. It is the purpose of this paper to show that the approach to get positive solutions of BVPs by using multifixed-point theorems can be extended to treat nonhomogeneous BVPs. The emphasis is put on the nonlinear term f involved with the first order delta operator ${\Delta}$x(n).
  12. Lee, Chang-Ock;Leem, Chae-Hun;Park, Eun-Hee;Youm, Jae-Boum 165
    https://doi.org/10.4134/JKMS.2010.47.1.165 PDF KSCI
    We introduce two numerical schemes for solving a system of ordinary differential equations which characterizes several kinds of linear reactions and diffusion from biochemistry, physiology, etc. The methods consist of sequential applications of the simple exact solver for a reversible reaction. We prove absolute stability and convergence of the proposed explicit methods. One is of first order and the other is of second order. Numerical results are included.
  13. Chierici, Elena;Occhetta, Gianluca 189
    https://doi.org/10.4134/JKMS.2010.47.1.189 PDF KSCI
    We study Fano manifolds of pseudoindex greater than one and dimension greater than five, which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.
  14. Mohammad, Reza Ahmadi Zand 215
    https://doi.org/10.4134/JKMS.2010.47.1.215 PDF KSCI
    A T$_1$ topological space X is called an almost GP-space if every dense G$_{\delta}$-set of X has nonempty interior. The behaviour of almost GP-spaces under taking subspaces and superspaces, images and preimages and products is studied. If each dense G$_{\delta}$-set of an almost GP-space X has dense interior in X, then X is called a GID-space. In this paper, some interesting properties of GID-spaces are investigated. We will generalize some theorems that hold in almost P-spaces.