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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 43, Issue 4 - Nov 2006
Volume 43, Issue 3 - Aug 2006
Volume 43, Issue 2 - May 2006
Volume 43, Issue 1 - Feb 2006
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1
BOUNDED MATRICES OVER REGULAR RINGS
Wang Shuqin ; Chen Huanyin ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 1~7
DOI : 10.4134/BKMS.2006.43.1.001
Abstract
In this paper, we investigate bounded matrices over regular rings. We observe that every bounded matrix over a regular ring can be described by idempotent matrices and invertible matrices. Let A,
be bounded matrices over a regular ring R. We prove that
for some
.
2
SYMMETRIC BI-(σ, τ) DERIVATIONS OF PRIME AND SEMI PRIME GAMMA RINGS
Ceran Sahin ; Asci Mustafa ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 9~16
DOI : 10.4134/BKMS.2006.43.1.009
Abstract
The purpose of this paper is to define the symmetric
derivations on prime and semi prime Gamma rings and to prove some results concerning symmetric
derivations on prime and semi prime Gamma rings.
3
EIGENVALUES OF A RANDOM WALK ON ORIENTED MATROIDS
Ahn, Seung-Ho ; Bang, Shin-Ok ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 17~25
DOI : 10.4134/BKMS.2006.43.1.017
Abstract
We generalize the results about eigenvalues of random walks on central hyperplane arrangements computed by Bidigare, Hanlon and Rockmore to the cases of random walks on oriented matroids.
4
A COUNTERPART OF BESSEL'S INEQUALITY IN INNER PRODUCT SPACES AND SOME GRUSS TYPE RELATED RESULTS
Dragomir Sever S. ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 27~41
DOI : 10.4134/BKMS.2006.43.1.027
Abstract
A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gruss type inequalities are also provided.
5
WEAK INVERSE SHADOWING AND GENERICITY
Choi, Tae-Young ; Kim, Sung-Sook ; Lee, Keon-Hee ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 43~52
DOI : 10.4134/BKMS.2006.43.1.043
Abstract
We study the genericity of the first weak inverse shadowing property and the second weak inverse shadowing property in the space of homeomorphisms on a compact metric space, and show that every shift homeomorphism does not have the first weak inverse shadowing property but it has the second weak inverse shadowing property.
6
ON A q-FOCK SPACE AND ITS UNITARY DECOMPOSITION
Ji, Un-Cig ; Kim, Young-Yi ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 53~62
DOI : 10.4134/BKMS.2006.43.1.053
Abstract
A Fock representation of q-commutation relation is studied by constructing a q-Fock space as the space of the representation, the q-creation and q-annihilation operators (-1 < q < 1). In the case of 0 < q < 1, the q-Fock space is interpolated between the Boson Fock space and the full Fock space. Also, a unitary decomposition of the q-Fock space
is studied.
7
HOMOLOGY OF BASED GAUGE GROUPS ASSOCIATED WITH SPINOR GROUP
Choi, Young-Gi ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 63~75
DOI : 10.4134/BKMS.2006.43.1.063
Abstract
We study the homology of based gauge groups associated with the principal Spin(n) bundles over the four-sphere using the Eilenberg-Moore spectral sequence and the Serre spectral sequence with the Dyer-Lash of operations.
8
RELATIVE INTEGRAL BASES OVER A RAY CLASS FIELD
Choi, So-Young ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 77~80
DOI : 10.4134/BKMS.2006.43.1.077
Abstract
Let K be a number field,
its ray class field with conductor n and L a Galois extension of K containing
. We prove that
has a relative integral basis (RIB) under certain simple condition. Also we reduce the problem of the existence of a RIB to a quadratic extension of
under some condition.
9
A CURVATURE-LIKE TENSOR FIELD ON A SASAKIAN MANIFOLD
Kim, Young-Mi ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 81~99
DOI : 10.4134/BKMS.2006.43.1.081
Abstract
We investigate a curvature-like tensor defined by (3.1) in Sasakian manifold of
5, and show that this tensor satisfies some properties. Especially, we determine compact Sasakian manifolds with vanishing this tensor and improve some theorems concerning contact conformal curvature tensor and spectrum of Laplacian acting on
on the manifold by using this tensor component.
10
ON GENERALIZED (α, β)-DERIVATIONS AND COMMUTATIVITY IN PRIME RINGS
Jung, Yong-Soo ; Park, Kyoo-Hong ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 101~106
DOI : 10.4134/BKMS.2006.43.1.101
Abstract
Let R be a prime ring and I a nonzero ideal of R. Let
be the endomorphisms and
the automorphisms. If R admits a generalized
g associated with a nonzero
such that
for all x, y
, then R is commutative.
11
HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE
Hirasawa Go ; Miura Takeshi ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 107~117
DOI : 10.4134/BKMS.2006.43.1.107
Abstract
We give some necessary and sufficient conditions in order that a closed operator in a Hilbert space into another have the Hyers-Ulam stability. Moreover, we prove the existence of the stability constant for a closed operator. We also determine the stability constant in terms of the lower bound.
12
ON CONSTRUCTING REPRESENTATIONS OF THE SYMMETRIC GROUPS
Vahid Dabbaghian-Abdoly ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 119~123
DOI : 10.4134/BKMS.2006.43.1.119
Abstract
Let G be a symmetric group. In this paper we describe a method that for a certain irreducible character X of G it finds a subgroup H such that the restriction of X on H has a linear constituent with multiplicity one. Then using a well known algorithm we can construct a representation of G affording X.
13
ASYMPTOTIC NUMBERS OF GENERAL 4-REGULAR GRAPHS WITH GIVEN CONNECTIVITIES
Chae, Gab-Byung ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 125~140
DOI : 10.4134/BKMS.2006.43.1.125
Abstract
Let
be the number of general4-regular graphs on n labelled vertices with
loops, d double edges, t triple edges and q quartet edges. We use inclusion and exclusion with five types of properties to determine the asymptotic behavior of
and hence that of g(2n), the total number of general 4-regular graphs where
, respectively. We show that almost all general 4-regular graphs are 2-connected. Moreover, we determine the asymptotic numbers of general 4-regular graphs with given connectivities.
14
FUZZY (WEAK) IMPLICATIVE HYPER K-IDEALS
Jun, Young-Bae ; Roh, Eun-Hwan ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 141~148
DOI : 10.4134/BKMS.2006.43.1.141
Abstract
Fuzzy (weak) implicative hyper K-ideals are introduced, and relations among fuzzy weak implicative hyper K-ideals, fuzzy implicative hyper K-ideals and fuzzy hyper K-ideals are discussed.
15
CONTROLLABILITY, OBSERVABILITY, AND REALIZABILITY OF MATRIX LYAPUNOV SYSTEMS
Murty M.S.N. ; Rao B.V. Appa ; Kumar G. Suresh ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 149~159
DOI : 10.4134/BKMS.2006.43.1.149
Abstract
This paper presents necessary and sufficient conditions for complete controllability, complete observability and realizability associated with matrix Lyapunov systems under certain smoothness conditions.
16
NON-LINEAR DIFFERENTIAL POLYNOMIALS SHARING 1-POINTS
Lahiri Indrahit ; Pal Rupa ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 161~168
DOI : 10.4134/BKMS.2006.43.1.161
Abstract
We prove two theorems on the uniqueness of nonlinear differential polynomials sharing 1-points, the first of which improves a recent result of Fang-Fang and Lin-Yi.
17
THE ALMOST SURE CONVERGENCE OF AANA SEQUENCES IN DOUBLE ARRAYS
Ko Mi-Hwa ; Ryu Dae-Hee ; Kim Tae-Sung ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 169~178
DOI : 10.4134/BKMS.2006.43.1.169
Abstract
For double arrays of constants
and sequences
of asymptotically almost negatively associated (AANA) random variables the almost sure convergence of
is derived.
18
A CLASS OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY CONVOLUTION
Ali Rosihan M. ; Khan M. Hussain ; Ravichandran V. ; Subramanian K.G. ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 179~188
DOI : 10.4134/BKMS.2006.43.1.179
Abstract
For a given p-valent analytic function g with positive coefficients in the open unit disk
, we study a class of functions
satisfying $$\frac 1 {p}{\Re}\;(\frac {z(f*g)'(z)} {(f*g)(z)})\;>\;\alpha\;(0{\leq}\;\alpha\;<\;1;z{\in}{\Delta})$$ Coefficient inequalities, distortion and covering theorems, as well as closure theorems are determined. The results obtained extend several known results as special cases.
19
SPHERICAL FUNCTIONS ON PROJECTIVE CLASS ALGEBRAS
Choi, Eun-Mi ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 189~212
DOI : 10.4134/BKMS.2006.43.1.189
Abstract
Let
be a twisted group algebra with basis
and
be a partition of G. A projective class algebra associated with P is a subalgebra of
generated by all class sums
. A main object of the paper is to find interrelationships of projective class algebras in
and in
for H < G. And the a-spherical function will play an important role for the purpose. We find functional properties of a-spherical functions and investigate roles of
functions as characters of projective class algebras.
20
MARCINKIEWICZ-ZYGMUND LAW OF LARGE NUMBERS FOR BLOCKWISE ADAPTED SEQUENCES
Quang Nguyen Van ; Thanh Le Van ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 213~223
DOI : 10.4134/BKMS.2006.43.1.213
Abstract
In this paper we establish the Marcinkiewicz-Zygmund strong law of large numbers for blockwise adapted sequences. Some related results are considered.
21
ERRATUM TO 'A SHORT NOTE ON QUASI-EXACT SEQUENCES'
Davvaz B. ;
Bulletin of the Korean Mathematical Society, volume 43, issue 1, 2006, Pages 225~225
DOI : 10.4134/BKMS.2006.43.1.225
Abstract
In this note a modification of Proposition 3.10 of [1] is given.