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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 :
Volume & Issues
Volume 51, Issue 6 - Nov 2014
Volume 51, Issue 5 - Sep 2014
Volume 51, Issue 4 - Jul 2014
Volume 51, Issue 3 - May 2014
Volume 51, Issue 2 - Mar 2014
Volume 51, Issue 1 - Jan 2014
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1
IDENTITIES FOR 3-CORE AND 5-CORE PARTITIONS
Park, Yoon Kyung ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 225~238
DOI : 10.4134/JKMS.2014.51.2.225
Abstract
We apply modular function theory to find the relation among t-core partitions. By using the generators of function field corresponding to a certain modular group, we reprove the identities in [1] because their relations are linear for t = 3 or 5.
2
ON FINITENESS PROPERTIES ON ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES AND EXT-MODULES
Chu, Lizhong ; Wang, Xian ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 239~250
DOI : 10.4134/JKMS.2014.51.2.239
Abstract
Let R be a commutative Noetherian (not necessarily local) ring, I an ideal of R and M a finitely generated R-module. In this paper, by computing the local cohomology modules and Ext-modules via the injective resolution of M, we proved that, if for an integer t > 0, dim
for
< t, then
for
and
>0. This shows that
>
is a finite set for
. Also, we prove that
if
is M-sequences in dimension > k and
are some positive integers. Here, for a subset T of Spec(R), set
.
3
ON THE "TERRA INCOGNITA" FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS
Argyros, Ioannis Konstantinos ; Cho, Yeol Je ; George, Santhosh ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 251~266
DOI : 10.4134/JKMS.2014.51.2.251
Abstract
In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr
chet-derivative of the operator involved is p-H
lder continuous (p
(0, 1]). Numerical examples involving two boundary value problems are also provided.
4
TWO-SCALE PRODUCT APPROXIMATION FOR SEMILINEAR PARABOLIC PROBLEMS IN MIXED METHODS
Kim, Dongho ; Park, Eun-Jae ; Seo, Boyoon ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 267~288
DOI : 10.4134/JKMS.2014.51.2.267
Abstract
We propose and analyze two-scale product approximation for semilinear heat equations in the mixed finite element method. In order to efficiently resolve nonlinear algebraic equations resulting from the mixed method for semilinear parabolic problems, we treat the nonlinear terms using some interpolation operator and exploit a two-scale grid algorithm. With this scheme, the nonlinear problem is reduced to a linear problem on a fine scale mesh without losing overall accuracy of the final system. We derive optimal order
-error estimates for the relevant variables. Numerical results are presented to support the theory developed in this paper.
5
YOUNG TABLEAUX, CANONICAL BASES, AND THE GINDIKIN-KARPELEVICH FORMULA
Lee, Kyu-Hwan ; Salisbury, Ben ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 289~309
DOI : 10.4134/JKMS.2014.51.2.289
Abstract
A combinatorial description of the crystal
for finite-dimensional simple Lie algebras in terms of certain Young tableaux was developed by J. Hong and H. Lee. We establish an explicit bijection between these Young tableaux and canonical bases indexed by Lusztig's parametrization, and obtain a combinatorial rule for expressing the Gindikin-Karpelevich formula as a sum over the set of Young tableaux.
6
NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS WITH SEMI-SYMMETRIC NON-METRIC CONNECTIONS
Jin, Dae Ho ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 311~323
DOI : 10.4134/JKMS.2014.51.2.311
Abstract
In this paper, we construct two types of non-tangential half lightlike submanifolds of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. Our main result is to prove several characterization theorems for each types of such half lightlike submanifolds equipped with totally geodesic screen distributions.
7
ORE EXTENSIONS OF HOPF GROUP COALGEBRAS
Wang, Dingguo ; Lu, Daowei ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 325~344
DOI : 10.4134/JKMS.2014.51.2.325
Abstract
The aim of this paper is to generalize the theory of Hopf-Ore extension on Hopf algebras to Hopf group coalgebras. First the concept of Hopf-Ore extension of Hopf group coalgebra is introduced. Then we will give the necessary and sufficient condition for the Ore extensions to become a Hopf group coalgebra, and certain isomorphism between Ore extensions of Hopf group coalgebras are discussed.
8
ON THE EXTENDED HAAGERUP TENSOR PRODUCT IN OPERATOR SPACES
Itoh, Takashi ; Nagisa, Masaru ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 345~362
DOI : 10.4134/JKMS.2014.51.2.345
Abstract
We describe the Haagerup tensor product
and the extended Haagerup tensor product
in terms of Schur product maps, and show that
(resp.
) coincides with
(resp.
). For
-algebras A, B, it is shown that
if and only if A or B is finite-dimensional.
9
HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS
Liang, Yu-Xia ; Zhou, Ze-Hua ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 363~382
DOI : 10.4134/JKMS.2014.51.2.363
Abstract
In this paper we first characterize the hereditarily hypercyclicity of the unilateral (or bilateral) weighted shifts on the spaces
(or
) with weight sequence {
} of positive invertible diagonal operators on a separable complex Hilbert space
. Then we give the necessary and sufficient conditions for the supercyclicity of those weighted shifts, which extends some previous results of H. Salas. At last, we give some conditions for the supercyclicity of three different weighted shifts.
10
FRIEDMAN-WEIERMANN STYLE INDEPENDENCE RESULTS BEYOND PEANO ARITHMETIC
Lee, Gyesik ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 383~402
DOI : 10.4134/JKMS.2014.51.2.383
Abstract
We expose a pattern for establishing Friedman-Weiermann style independence results according to which there are thresholds of provability of some parameterized variants of well-partial-ordering. For this purpose, we investigate an ordinal notation system for
, the small Veblen ordinal, which is the proof-theoretic ordinal of the theory
. We also show that it sometimes suffices to prove the independence w.r.t. PA in order to obtain the same kind of independence results w.r.t. a stronger theory such as
.
11
INVOLUTIONS AND THE FRICKE SPACES OF SURFACES WITH BOUNDARY
Kim, Hong Chan ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 403~426
DOI : 10.4134/JKMS.2014.51.2.403
Abstract
The purpose of this paper is to find expressions of the Fricke spaces of some basic surfaces which are a three-holed sphere
(0, 3), a one-holed torus
(1, 1), and a four-holed sphere
(0, 4). For this goal, we define the involutions corresponding to oriented axes of loxodromic elements and an inner product <,> which gives the information about locations of axes of loxodromic elements. The signs of traces of holonomy elements, which are calculated by lifting a representation from PSL(2,
) to SL(2,
), play a very important role in determining the discreteness of holonomy groups.
12
CRYSTAL B(λ) IN B(∞) FOR G
_{2}
TYPE LIE ALGEBRA
Kim, Min Kyu ; Lee, Hyeonmi ;
Journal of the Korean Mathematical Society, volume 51, issue 2, 2014, Pages 427~442
DOI : 10.4134/JKMS.2014.51.2.427
Abstract
A previous work gave a combinatorial description of the crystal B(
), in terms of certain simple Young tableaux referred to as the marginally large tableaux, for finite dimensional simple Lie algebras. Using this result, we present an explicit description of the crystal B(
), in terms of the marginally large tableaux, for the
Lie algebra type. We also provide a new description of B(
), in terms of Nakajima monomials, that is in natural correspondence with our tableau description.