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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 40, Issue 6 - Nov 2003
Volume 40, Issue 5 - Sep 2003
Volume 40, Issue 4 - Jul 2003
Volume 40, Issue 3 - May 2003
Volume 40, Issue 2 - Mar 2003
Volume 40, Issue 1 - Jan 2003
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1
THE HILBERT-KUNZ MULTIPLICITY OF TWO-DIMENSIONAL TORIC RINGS
Choi, Sang-Ki ; Hong, Seok-Young ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 169~177
DOI : 10.4134/JKMS.2003.40.2.169
Abstract
Recently, K. Watanabe Showed that the Hilbert-Kunz multiplicity of a toric ring is a rational number. In this paper we give an explicit formula to compute the Hilbert-Kunz multiplicity of two-dimensional toric rings. This formula also shows that the Hilbert-Kunz multiplicity of a two-dimensional non-regular toric ring is at least 3/2.
2
SPLITTINGS FOR THE BRAID-PERMUTATION GROUP
Jeong, Chan-Seok ; Song, Yong-Jin ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 179~193
DOI : 10.4134/JKMS.2003.40.2.179
Abstract
The braid-permutation group is a group of welded braids which is the extension of Artin's braid groups by the symmetric groups. It is also described as a subgroup of the automorphism group of a free group. We also show that the plus-construction of the classifying space of the infinite braid-permutation group has the following two types of splittings BBP(equation omitted) B∑(equation omitted)
X, BBP(equation omitted) B
Y＝S
Y, where X, Y are some spaces.
3
GENERALIZED SET-VALVED STRONGLY NONLINEAR VARIATIONAL INEQUALITIES IN BANACH SPACES
Cho, Y.J. ; Fang, Y.P. ; Huang, N.J. ; Kim, K.H. ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 195~205
DOI : 10.4134/JKMS.2003.40.2.195
Abstract
In this paper, we introduce and study a new class of generalized strongly nonlinear variational inequalities with setvalued mappings. By using the KKM technique, we prove the existence and uniqueness of solution for this class of generalized setvalued strongly nonlinear variational inequalities in reflexive Banach spaces. Our results include the main results of Verma ［16］, ［17］ as special cases.
4
A WEIGHTED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WITH VALUES IN HILBERT SPACES AND APPLICATIONS
Dragomir, S.S. ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 207~224
DOI : 10.4134/JKMS.2003.40.2.207
Abstract
Some weighted Ostrowski type integral inequalities for vector-valued functions in Hilbert spaces are given. Applications for quadrature rules with values in Hilbert spaces are also pointed out.
5
ORDERED GROUPS IN WHICH ALL CONVEX JUMPS ARE CENTRAL
Bludov, V.V. ; Glass, A.M.W. ; Rhemtulla, Akbar H. ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 225~239
DOI : 10.4134/JKMS.2003.40.2.225
Abstract
(G, <) is an ordered group if'<'is a total order relation on G in which f < g implies that xfy < xgy for all f, g, x, y
G. We say that (G, <) is centrally ordered if (G, <) is ordered and ［G,D］
C for every convex jump C
D in G. Equivalently, if
for all f, g
G with g > 1. Every order on a torsion-free locally nilpotent group is central. We prove that if every order on every two-generator subgroup of a locally soluble orderable group G is central, then G is locally nilpotent. We also provide an example of a non-nilpotent two-generator metabelian orderable group in which all orders are central.
6
A CONSTRUCTION OF MAXIMAL COMMUTATIVE SUBALGEBRA OF MATRIX ALGEBRAS
Song, Young-Kwon ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 241~250
DOI : 10.4134/JKMS.2003.40.2.241
Abstract
Let (B, m
, k) be a maximal commutative
-subalgebra of M
(k). Then, for some element z
Soc(B), a k-algebra R = B［X,Y］/I, where I ＝ (m
X, m
Y, X
- z,Y
- z, XY) will create an interesting maximal commutative
-subalgebra of a matrix algebra which is neither a
-construction nor a
-construction. This construction will also be useful to embed a maximal commutative
-subalgebra of matrix algebra to a maximal commutative
-subalgebra of a larger size matrix algebra.gebra.a.
7
MULTIDIMENSIONAL INTEGRATION VIA TRAPEZOIDAL AND THREE POINT GENERATORS
Cerone, P. ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 251~272
DOI : 10.4134/JKMS.2003.40.2.251
Abstract
Multidimensional integrals are expressed in terms of lower dimensional integrals and function evaluations. An iterative process is used where a trapezoidal and three point identities are used as generators for higher dimensional identities. Bounds are obtained utilising the resulting identities. It is demonstrated that earlier Ostrowski type results are obtained as particular instances of the current work.
8
ON CLASS ALGEBRAS
Choi, Eun-Mi ; Lee, Hei-Sook ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 273~286
DOI : 10.4134/JKMS.2003.40.2.273
Abstract
Let
G be a twisted group algebra. A subalgebra of
G generated by all class sums of partition P of G is called a projective class algebra in
G associated with partition P. In this paper we study various partitions of G determined by actions of certain operator groups on G and construct projective class algebras depending on the actions. With regard to projective class algebras, we investigate structures of associated skew group algebras and fixed group algebras.
9
ON SECOND ORDER NECESSARY OPTIMALITY CONDITIONS FOR VECTOR OPTIMIZATION PROBLEMS
Lee, Gue-Myung ; Kim, Moon-Hee ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 287~305
DOI : 10.4134/JKMS.2003.40.2.287
Abstract
Second order necessary optimality condition for properly efficient solutions of a twice differentiable vector optimization problem is given. We obtain a nonsmooth version of the second order necessary optimality condition for properly efficient solutions of a nondifferentiable vector optimization problem. Furthermore, we prove a second order necessary optimality condition for weakly efficient solutions of a nondifferentiable vector optimization problem.
10
ON SPECTRAL BOUNDEDNESS
Harte, Robin ;
Journal of the Korean Mathematical Society, volume 40, issue 2, 2003, Pages 307~317
DOI : 10.4134/JKMS.2003.40.2.307
Abstract
For linear operators between Banach algebras "spectral boundedness" is derived from ordinary boundedness by substituting spectral radius for norm. The interplay between this concept and some of its near relatives is conspicuous in a result of Curto and Mathieu.