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Bulletin of the Korean Mathematical Society
Journal Basic Information
pISSN :
1015-8634
eISSN :
2234-3016
Journal DOI :
10.4134/BKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 40, Issue 4 - Nov 2003
Volume 40, Issue 3 - Aug 2003
Volume 40, Issue 2 - May 2003
Volume 40, Issue 1 - Feb 2003
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1
ELEMENTARY TOPICS ON WEAK POLYGROUPS
Davvaz, B. ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 1~8
DOI : 10.4134/BKMS.2003.40.1.001
Abstract
In this paper, we further develop the weak polygroup theory, we define quotient weak polygroup and then the fundamental homomorphism theorem of group theory is derived in the context of weak polygroups. Also, we consider the fundamental relation
defined on a weak polygroup and define a functor from the category of all weak polygroups into the category of all fundamental groups.s.
2
MAPPINGS OF CONSERVATIVE DISTANCES
Jung, Soon-Mo ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 9~15
DOI : 10.4134/BKMS.2003.40.1.009
Abstract
In this paper, we will deal with the Aleksandrov-Rassias problem. More precisely, we prove some theorems concerning the mappings preserving one or two distances.
3
ℤ
_{p}
-EQUIVARIANT SPIN
^{C}
-STRUCTURES
Cho, Yong-Seung ; Hong, Yoon-Hi ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 17~28
DOI : 10.4134/BKMS.2003.40.1.017
Abstract
Let X be a closed, oriented, Riemannian 4-manifold with ${{b_2}^+}(x)\;>\;1$ and of simple type. Suppose that
is an involution preserving orientation with an oriented, connected, compact 2-dimensional submanifold
as a fixed point set with
. We show that if
then the
bundle
is not
, where det
is a basic class with
.☊销Ѐ歡普᠀胭閜냫뎸蓭颸駭验
4
GL
_{n}
- DECOMPOSITION OF THE SCHUR COMPLEX S
_{r}
(Λ
^{2}
φ)
Choi, Eun J. ; Kim, Young H. ; Ko, Hyoung J. ; Won, Seoung J. ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 29~51
DOI : 10.4134/BKMS.2003.40.1.029
Abstract
In this paper we construct a natural filtration associated to the plethysm
over arbitrary commutative ring R. Let
: G longrightarrow F be a morphism of finite free R-modules. We construct the natural filtration of
as a
- complex such that its associated graded complex is
, where
is a set of partitions such that
is a partition of which i-th term is
. Specializing our result, we obtain the filtrations of $S_{r}(\wedge^2 F)\;and\;D_{r}(D_2G).㰌搀㘲㌮㠻Ⰰ䉵楬摩湧Ⱐ捯湳瑲畣瑩潮湤楶楬湧楮敥物湧
5
ON THE STABILITY OF THE JENSEN'S EQUATION IN A HILBERT MODULE
Park, Chun-Gil ; Park, Won-Gil ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 53~61
DOI : 10.4134/BKMS.2003.40.1.053
Abstract
We prove the generalized Hyers-Ulam-Rassias stability of the invertible mapping in a Banach module over a unital Banach algebra, and prove the generalized Hyers-Ulam-Rassias stability of the Jensen's functional equations in a Hilbert module over a unital
-algebra.
6
SHAPE OPERATOR OF SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS
Kim, Young-Ho ; Lee, Chul-Woo ; Yoon, Dae-Won ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 63~76
DOI : 10.4134/BKMS.2003.40.1.063
Abstract
In this article, we establish relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a slant submanifold in a Sasakian space form of constant
curvature with arbitrary codimension.
7
THE STRONG PERRON INTEGRAL
Kim, Byung-Moo ; Kim, Young-Kuk ; Park, Jae-Myung ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 77~83
DOI : 10.4134/BKMS.2003.40.1.077
Abstract
In this paper, we study the strong Perron integral, and show that the strong Perron integral is equivalent to the McShane integral.
8
UNIFORMITY OF HOLOMORPHIC VECTOR BUNDLES ON INFINITE-DIMENSIONAL FLAG MANIFOLDS
Ballico, E. ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 85~89
DOI : 10.4134/BKMS.2003.40.1.085
Abstract
Let V be a localizing infinite-dimensional complex Banach space. Let X be a flag manifold of finite flags either of finite codimensional closed linear subspaces of V or of finite dimensional linear subspaces of V. Let E be a holomorphic vector bundle on X with finite rank. Here we prove that E is uniform, i.e. that for any two lines
R in the same system of lines on X the vector bundles E
D and E
R have the same splitting type.
9
STRONGLY π-REGULAR MORITA CONTEXTS
Chen, Huan-Yin ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 91~99
DOI : 10.4134/BKMS.2003.40.1.091
Abstract
In this paper, we show that if the ring of a Merits context (A, B, M, N,
) with zero pairings is a strongly
-regular ring of bounded index if and only if so are A and B. Furthermore, we extend this result to the ring of a Merits context over quasi-duo strongly
-regular rings.
10
CYCLIC PRESENTATIONS OF GROUPS AND CYCLIC BRANCHED COVERINGS OF (1, 1)-KNOTS
Mulazzani, Michele ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 101~108
DOI : 10.4134/BKMS.2003.40.1.101
Abstract
In this paper we study the connections between cyclic presentations of groups and cyclic branched coverings of (1, 1)- knots. In particular, we prove that every π-fold strongly-cyclic branched covering of a (1, 1)-knot admits a cyclic presentation for the fundamental group encoded by a Heegaard diagram of genus π.
11
YANG-MILLS OR YANG-MILLS-HIGGS FIELDS OVER KAEHLER AND CONTACT MANIFOLDS
Park, Young-Soo ; Suh, Young-Jin ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 109~122
DOI : 10.4134/BKMS.2003.40.1.109
Abstract
In this paper we give a characterization of an irreducible connection with harmonic curvature over a connected Kaehler manifold to be self-dual. Also we introduce new notions of
or Kaehler Yang-Mills connections on compact Kaehler manifolds and investigate some fundamental properties of this kind of new connections. Moreover, on a compact odd dimensional Riemannian manifold we give a property of generalized monopole.
12
(WEAK) IMPLICATIVE HYPER K-IDEALS
Saeid, A.Borumand ; Borzooei, R.A. ; Zahedi, M.M. ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 123~137
DOI : 10.4134/BKMS.2003.40.1.123
Abstract
In this note first we define the notions of weak implicative and implicative hyper K-ideals of a hyper K-algebra H. Then we state and prove some theorems which determine the relationship between these notions and (weak) hyper K-ideals. Also we give some relations between these notions and all types of positive implicative hyper K-ideals. Finally we classify the implicative hyper K-ideals of a hyper K-algebra of order 3.
13
ON SET-VALUED CHOQUET INTEGRALS AND CONVERGENCE THEOREMS (II)
Lee, Chae-Jang ; Kim, Tae-Kyun ; Jeon, Jong-Duek ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 139~147
DOI : 10.4134/BKMS.2003.40.1.139
Abstract
In this paper, we consider Choquet integrals of interval number-valued functions(simply, interval number-valued Choquet integrals). Then, we prove a convergence theorem for interval number-valued Choquet integrals with respect to an autocontinuous fuzzy measure.
14
AFFINENESS OF DEFINABLE C
^{r}
MANIFOLDS AND ITS APPLICATIONS
Kawakami, Tomohiro ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 149~157
DOI : 10.4134/BKMS.2003.40.1.149
Abstract
Let M be an exponentially bounded o-minimal expansion of the standard structure R = (R ,＋,.,<) of the field of real numbers. We prove that if r is a non-negative integer, then every definable
manifold is affine. Let f : X
Y be a definable
map between definable
manifolds. We show that the set S of critical points of f and f(S) are definable and dim f(S) < dim Y. Moreover we prove that if 1 < s <
<
, then every definable
manifold admits a unique definable
manifold structure up to definable
diffeomorphism. 炭᠂ ࠀ豈檧Ā檧Ā̀֗⨀Ā�ĀĀၧ잖⨀̀ĀĀ逅⨀倅⨀肀ქﾖ⨀밟Ԁꀮ֗⨀⃬│胫│惭│郭│塻җ⨀뀯֗⨀찟퀟퀄⨀Ԁ怯֗⨀í│탫│惭│烮│찟퀟퀄⨀퀟ഀĀ顪⨀Ā偫⨀㠈⨀ဩ⨀Ȁᠩ⨀⨀⬀Ā 堪⨀젪⨀阁Ā1֗⨀⡧잖⨀̀⡧잖⨀̀܀屣잖⨀ࠀ褝⎨Ā⎨Ā̀屣잖⨀檧Ā䁧잖⨀聧잖⨀֗⨀�җ⨀堵֗⨀ഀ Ā
15
THE BOUNDEDNESS OF SOLUTIONS FOR STOCHASTIC DIFFERENTIAL INCLUSIONS
Yun, Yong-Sik ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 159~165
DOI : 10.4134/BKMS.2003.40.1.159
Abstract
We consider the stochastic differential inclusion of the form
, where
, b are set-valued maps, B is a standard Brownian motion. We prove the boundedness of solutions under the assumption that
and b satisfy the local Lipschitz property and linear growth.
16
INJECTIVE COVERS OVER COMMUTATIVE NOETHERIAN RINGS WITH GLOBAL DIMENSION AT MOST TWO
Enochs, Edgar-E. ; Kim, Hae-Sik ; Song, Yeong-Moo ;
Bulletin of the Korean Mathematical Society, volume 40, issue 1, 2003, Pages 167~176
DOI : 10.4134/BKMS.2003.40.1.167
Abstract
In [3］, Del Valle, Enochs and Martinez studied flat envelopes over rings and they showed that over rings as in the title these are very well behaved. If we replace flat with injective and envelope with the dual notion of a cover we then have the injective covers. In this article we show that these injective covers over the commutative noetherian rings with global dimension at most 2 have properties analogous to those of the flat envelopes over these rings.