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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 17, Issue 4 - Oct 2002
Volume 17, Issue 3 - Jul 2002
Volume 17, Issue 2 - Apr 2002
Volume 17, Issue 1 - Jan 2002
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1
L
^{2}
조화미분형식과 극소초평면에의 응용
;
;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 189~205
DOI : 10.4134/CKMS.2002.17.2.189
Abstract
2
A UNIFORM SPACE OF FUZZY IMPLICATION ALGEBRAS
Roh, Eun-Hwan ; Yang, Xu ; Ting, Rong Zou ; Ke, Yun Qin ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 207~213
DOI : 10.4134/CKMS.2002.17.2.207
Abstract
We discuss the filter generated by an arbitrary set in fuzzy implication algebra, and consider the uniformity of a fuzzy implication algebra by using filters
3
ON MAXIMAL SUBSET-SUM-DISTINCT SEQUENCES
Bae, Jae-Gug ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 215~220
DOI : 10.4134/CKMS.2002.17.2.215
Abstract
Since P. Erdos introduced the concept of "subset-sum-distinctness", lots of mathematicians have been interested in a "dense" set having distinct subset sums. In this paper, we establish a couple of theorems on maximal subset-sun-distinct sequence with respect to the set inclusion.
4
CHOW GROUPS OF COMPLETE REGULAR LOCAL RINGS III
Lee, Si-Chang ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 221~227
DOI : 10.4134/CKMS.2002.17.2.221
Abstract
In this paper we will show that the followings ; (1) Let R be a regular local ring of dimension n. Then
(R) = 0. (2) Let R be a regular local ring of dimension n and I be an ideal in R of height 3 such that R/I is a Gorenstein ring. Then [I] = 0 in
(R). (3) Let R = V[[
,
, …,
]]/(p+
+
+
+
+
/), where p
2,
,
,
are arbitrary positive integers and V is a complete discrete valuation ring with (p) = mv. Assume that R/m is algebraically closed. Then all the Chow group for R is 0 except the last Chow group.group.oup.
5
ON r-IDEALS IN INCLINE ALGEBRAS
Ahn, Sun-Shin ; Kim, Hee-Sik ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 229~235
DOI : 10.4134/CKMS.2002.17.2.229
Abstract
In this paper we show that if K is an incline with multiplicative identity and I is an r-ideal of k containing a unit u, then I = K. Moreover, we show that in a non-zero incline K with multiplicative identity and zero element, every proper r-ideal in K is contained in a maximal r-ideal of K.
6
SIMPLE LIE ALGEBRAS WHICH GENERALIZE KPS`S LIE ALGEBRAS
Nam, Ki-Bong ; Wang, Moon-Ok ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 237~243
DOI : 10.4134/CKMS.2002.17.2.237
Abstract
In this paper we generalize the Lie algebras of KPS's in [4], which have no toral elements. However our generalized Lie algebras have toral elements. Moreover our Lie algebras are not isomorphic to the Witt algebra W(n) with a toral element.
7
JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS
Park, Kyoo-Hong ; Jung, Yong-Soo ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 245~252
DOI : 10.4134/CKMS.2002.17.2.245
Abstract
In this paper we obtain some results concerning Jordan derivations and Jordan left derivations mapping into the Jacobson radical. Our main result is the following : Let d be a Jordan derivation (resp. Jordan left derivation) of a complex Banach algebra A. If d
(x) = 0 for all x
A, then we have d(A) ⊆ red(A)
8
GALOIS CORRESPONDENCES FOR SUBFACTORS RELATED TO NORMAL SUBGROUPS
Lee, Jung-Rye ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 253~260
DOI : 10.4134/CKMS.2002.17.2.253
Abstract
For an outer action
of a finite group G on a factor M, it was proved that H is a, normal subgroup of G if and only if there exists a finite group F and an outer action
of F on the crossed product algebra M
G = (M
F. We generalize this to infinite group actions. For an outer action
of a discrete group, we obtain a Galois correspondence for crossed product algebras related to normal subgroups. When
satisfies a certain condition, we also obtain a Galois correspondence for fixed point algebras. Furthermore, for a minimal action
of a compact group G and a closed normal subgroup H, we prove
= (
)
for a minimal action
of G/H on
.f G/H on
.TEX> H/.
9
ON G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN S
^{5}
So, Jae-Up ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 261~278
DOI : 10.4134/CKMS.2002.17.2.261
Abstract
Let G = O(2)
O(2)
O(2) and let M
be closed G-invariant minimal hypersurface with constant scalar curvature in S
. If M
has 2 distinct principal curvatures at some point, then S = 4. Moreover, if S > 4, then M
does not have simple principal curvatures everywhere.
10
KÄHLER SUBMANIFOLDS WITH LOWER BOUNDED TOTALLY REAL BISECTIONL CURVATURE TENSOR II
Pyo, Yong-Soo ; Shin, Kyoung-Hwa ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 279~293
DOI : 10.4134/CKMS.2002.17.2.279
Abstract
In this paper, we prove that if every totally real bisectional curvature of an n(
3)-dimensional complete Kahler submanifold of a complex projective space of constant holomorphic sectional curvature c is greater than (equation omitted) (3n
+2n-2), then it is totally geodesic and compact.
11
COUNTABLY APPROXIMATING FRAMES
Lee, Seung-On ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 295~308
DOI : 10.4134/CKMS.2002.17.2.295
Abstract
Using the Countably way below relation, we show that the category
-CFrm of
-coherent frames and
-coherent homomorphisms is coreflective n the category Frm of frames and frame homomorphisms. Introducting the concept of stably countably approximating frames which are exactly retracts of
-coherent frames, it is shown that the category SCAFrm of stably countably approximating frames and
-proper frame homomorphisms is coreflective in Frm. Finally we introduce strongly Lindelof frames and show that they are precisely lax retracts of
-coherent frames.
12
ON STATIONARITY OF NONLINEAR AR PROCESSES WITH NONLINEAR ARCH ERRORS
Lee, Oe-Sook ; Kim, Min-Hee ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 309~319
DOI : 10.4134/CKMS.2002.17.2.309
Abstract
We consider the nonlinear autoregressive model with nonlinear ARCH errors, and find sufficient conditions for the existence of a strictly stationary process. New results are obtained, and known results are shown to emerge as special oases.
13
ON THE FLUCTUATION IN THE RANDOM ASSIGNMENT PROBLEM
Lee, Sung-Chul ; Su, Zhong-Gen ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 321~330
DOI : 10.4134/CKMS.2002.17.2.321
Abstract
Consider the random assignment (or bipartite matching) problem with iid uniform edge costs t(i, j). Let
be the optimal assignment cost. Just recently does Aldous [2] give a rigorous proof that E
longrightarrowζ(2). In this paper we establish the upper and lower bounds for Var
, i.e., there exist two strictly positive but finite constants
and
such athat
2)/ (log n)
2)/
Var
(log n)
.EX>.
14
GEOMETRIC CONIC SPLINE APPROXIMATION IN CAGD
Ahn, Young-Joon ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 331~347
DOI : 10.4134/CKMS.2002.17.2.331
Abstract
We characterize the best geometric conic approximation to regular plane curve and verify its uniqueness. Our characterization for the best geometric conic approximation can be applied to degree reduction, offset curve approximation or convolution curve approximation which are very frequently occurred in CAGD (Computer Aided Geometric Design). We also present the numerical results for these applications.
15
A NOTE ON SCATTERING OPERATOR SYMBOLS FOR ELLIPTIC WAVE PROPAGATION
Kim, Jeong-Hoon ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 349~361
DOI : 10.4134/CKMS.2002.17.2.349
Abstract
The ill-posed elliptic wave propagation problems can be transformed into well-posed initial value problems of the reflection and transmission operators characterizing the material structure of the given model by the combination of wave field splitting and invariant imbedding methods. In general, the derived scattering operator equations are of first-order in range, nonlinear, nonlocal, and stiff and oscillatory with a subtle fixed and movable singularity structure. The phase space and path integral analysis reveals that construction and reconstruction algorithms depend crucially on a detailed symbol analysis of the scattering operators. Some information about the singularity structure of the scattering operator symbols is presented and analyzed in the transversely homogeneous limit.
16
AN ASYMPTOTIC FORMULA FOR exp(x/1-x)
Song, Jun-Ho ; Lee, Chang-Woo ;
Communications of the Korean Mathematical Society, volume 17, issue 2, 2002, Pages 363~370
DOI : 10.4134/CKMS.2002.17.2.363
Abstract
We show that G(x) =
(1-x))/ -1 is the exponential generating function for the labeled digraphs whose weak components are transitive tournaments and derive both a recursive formula and an explicit formula for the number of them on n vertices. Moreover, we investigate the asymptotic behavior for the coefficients of G(x) using Hayman's method.d.