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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 53, Issue 5 - Sep 2016
Volume 53, Issue 4 - Jul 2016
Volume 53, Issue 3 - May 2016
Volume 53, Issue 2 - Mar 2016
Volume 53, Issue 1 - Jan 2016
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1
DEFORMATION RIGIDITY OF ODD LAGRANGIAN GRASSMANNIANS
Park, Kyeong-Dong ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 489~501
DOI : 10.4134/JKMS.j140263
Abstract
In this paper, we study the rigidity under
deformation of the complex structure of odd Lagrangian Grassmannians, i.e., the Lagrangian case
(n, 2n+1) of odd symplectic Grassmannians. To obtain the global deformation rigidity of the odd Lagrangian Grassmannian, we use results about the automorphism group of this manifold, the Lie algebra of infinitesimal automorphisms of the affine cone of the variety of minimal rational tangents and its prolongations.
2
ON SIDON SETS IN A RANDOM SET OF VECTORS
Lee, Sang June ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 503~517
DOI : 10.4134/JKMS.j140275
Abstract
For positive integers d and n, let
be the set of all vectors (
), where ai is an integer with
. A subset S of
is called a Sidon set if all sums of two (not necessarily distinct) vectors in S are distinct. In this paper, we estimate two numbers related to the maximum size of Sidon sets in
. First, let
be the number of all Sidon sets in
. We show that
, where the constants of
depend only on d. Next, we estimate the maximum size of Sidon sets contained in a random set
, where
denotes a random set obtained from
by choosing each element independently with probability p.
3
AUTOMORPHISMS OF THE ZERO-DIVISOR GRAPH OVER 2 × 2 MATRICES
Ma, Xiaobin ; Wang, Dengyin ; Zhou, Jinming ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 519~532
DOI : 10.4134/JKMS.j140645
Abstract
The zero-divisor graph of a noncommutative ring R, denoted by
, is a graph whose vertices are nonzero zero-divisors of R, and there is a directed edge from a vertex x to a distinct vertex y if and only if xy = 0. Let
be the
matrix ring over a finite field
. In this article, we investigate the automorphism group of
.
4
OMORI-YAU MAXIMUM PRINCIPLE ON ALEXANDROV SPACES
Lee, Hanjin ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 533~547
DOI : 10.4134/JKMS.j150134
Abstract
We prove an Omori-Yau maximum principle on Alexandrov spaces which do not have Perelman singular points and satisfy the infinitesimal Bishop-Gromov condition.
5
ON 𝜙-n-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS
Mostafanasab, Hojjat ; Darani, Ahmad Yousefian ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 549~582
DOI : 10.4134/JKMS.j150171
Abstract
All rings are commutative with
and n is a positive integer. Let
be a function where
denotes the set of all ideals of R. We say that a proper ideal I of R is
-n-absorbing primary if whenever
and
, either
or the product of
with (n-1) of
is in
. The aim of this paper is to investigate the concept of
-n-absorbing primary ideals.
6
L
^{2}
HARMONIC 1-FORMS ON SUBMANIFOLDS WITH WEIGHTED POINCARÉ INEQUALITY
Chao, Xiaoli ; Lv, Yusha ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 583~595
DOI : 10.4134/JKMS.j150190
Abstract
In the present note, we deal with
harmonic 1-forms on complete submanifolds with weighted
inequality. By supposing submanifold is stable or has sufficiently small total curvature, we establish two vanishing theorems for
harmonic 1-forms, which are some extension of the results of Kim and Yun, Sang and Thanh, Cavalcante Mirandola and
.
7
LOCAL REGULARITY CRITERIA OF THE NAVIER-STOKES EQUATIONS WITH SLIP BOUNDARY CONDITIONS
Bae, Hyeong-Ohk ; Kang, Kyungkeun ; Kim, Myeonghyeon ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 597~621
DOI : 10.4134/JKMS.j150191
Abstract
We present regularity conditions for suitable weak solutions of the Navier-Stokes equations with slip boundary data near the curved boundary. To be more precise, we prove that suitable weak solutions become regular in a neighborhood boundary points, provided the scaled mixed norm
with 3/p + 2/q = 2,
<
is sufficiently small in the neighborhood.
8
ON PIECEWISE NOETHERIAN DOMAINS
Chang, Gyu Whan ; Kim, Hwankoo ; Wang, Fanggui ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 623~643
DOI : 10.4134/JKMS.j150213
Abstract
In this paper, we study piecewise Noetherian (resp., piecewise w-Noetherian) properties in several settings including flat (resp., t-flat) overrings, Nagata rings, integral domains of finite character (resp., w-finite character), pullbacks of a certain type, polynomial rings, and D + XK[X] constructions.
9
COMPUTATIONS OF SPACES OF PARAMODULAR FORMS OF GENERAL LEVEL
Breeding, Jeffery II ; Poor, Cris ; Yuen, David S. ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 645~689
DOI : 10.4134/JKMS.j150219
Abstract
This article gives upper bounds on the number of Fourier-Jacobi coefficients that determine a paramodular cusp form in degree two. The level N of the paramodular group is completely general throughout. Additionally, spaces of Jacobi cusp forms are spanned by using the theory of theta blocks due to Gritsenko, Skoruppa and Zagier. We combine these two techniques to rigorously compute spaces of paramodular cusp forms and to verify the Paramodular Conjecture of Brumer and Kramer in many cases of low level. The proofs rely on a detailed description of the zero dimensional cusps for the subgroup of integral elements in each paramodular group.
10
ACCELERATION OF ONE-PARAMETER RELAXATION METHODS FOR SINGULAR SADDLE POINT PROBLEMS
Yun, Jae Heon ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 691~707
DOI : 10.4134/JKMS.j150230
Abstract
In this paper, we first introduce two one-parameter relaxation (OPR) iterative methods for solving singular saddle point problems whose semi-convergence rate can be accelerated by using scaled preconditioners. Next we present formulas for finding their optimal parameters which yield the best semi-convergence rate. Lastly, numerical experiments are provided to examine the efficiency of the OPR methods with scaled preconditioners by comparing their performance with the parameterized Uzawa method with optimal parameters.
11
SCALE TRANSFORMATIONS FOR PRESENT POSITION-INDEPENDENT CONDITIONAL EXPECTATIONS
Cho, Dong Hyun ;
Journal of the Korean Mathematical Society, volume 53, issue 3, 2016, Pages 709~723
DOI : 10.4134/JKMS.j150285
Abstract
Let C[0, t] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0, t] and define a random vector
by
, where 0 <
<
<
< t is a partition of [0, t] and
with
a.e. In this paper we will introduce a simple formula for a generalized conditional Wiener integral on C[0, t] with the conditioning function
and then evaluate the generalized analytic conditional Wiener and Feynman integrals of the cylinder function
for
, where
and e is a unit element in
. Finally we express the generalized analytic conditional Feynman integral of F as two kinds of limits of non-conditional generalized Wiener integrals of polygonal functions and of cylinder functions using a change of scale transformation for which a normal density is the kernel. The choice of a complete orthonormal subset of
used in the transformation is independent of e and the conditioning function
does not contain the present positions of the generalized Wiener paths.