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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 46, Issue 6 - Nov 2009
Volume 46, Issue 5 - Sep 2009
Volume 46, Issue 4 - Jul 2009
Volume 46, Issue 3 - May 2009
Volume 46, Issue 2 - Mar 2009
Volume 46, Issue 1 - Jan 2009
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1
CERTAIN CURVATURE CONDITIONS ON AN LP-SASAKIAN MANIFOLD WITH A COEFFICIENT α
De, Uday Chand ; Arslan, Kadri ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 401~408
DOI : 10.4134/BKMS.2009.46.3.401
Abstract
The object of the present paper is to study certain curvature restriction on an LP-Sasakian manifold with a coefficient
. Among others it is shown that if an LP-Sasakian manifold with a coefficient
is a manifold of constant curvature, then the manifold is the product manifold. Also it is proved that a 3-dimensional Ricci semisymmetric LP-Sasakian manifold with a constant coefficient
is a spaceform.
2
THE GENERALIZED RIEMANN PROBLEM FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS I
Chen, Shouxin ; Huang, Decheng ; Han, Xiaosen ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 409~434
DOI : 10.4134/BKMS.2009.46.3.409
Abstract
In this paper, we consider a generalized Riemann problem of the first order hyperbolic conservation laws. For the case that excludes the centered wave, we prove that the generalized Riemann problem admits a unique piecewise smooth solution u = u(t, x), and this solution has a structure similar to the similarity solution u =
of the correspondin Riemann problem in the neighborhood of the origin provided that the coefficients of the system and the initial conditions are sufficiently smooth.
3
JORDAN θ-DERIVATIONS ON LIE TRIPLE SYSTEMS
Najati, Abbas ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 435~437
DOI : 10.4134/BKMS.2009.46.3.435
Abstract
In this paper we prove that every Jordan
-derivation on a Lie triple system is a
-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.
4
UNIVALENCE PROPERTIES FOR A GENERAL INTEGRAL OPERATOR
Breaz, Daniel ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 439~446
DOI : 10.4134/BKMS.2009.46.3.439
Abstract
We consider the univalence function classes T,
, and S(p). For these classes we shall study some univalence properties for a general integral operator. Furthermore we shall extend some known univalence criteria, i.e., Becker-type criteria.
5
COMMUTING STRUCTURE JACOBI OPERATOR FOR HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS
Jeong, Im-Soon ; Suh, Young-Jin ; Yang, Hae-Young ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 447~461
DOI : 10.4134/BKMS.2009.46.3.447
Abstract
In this paper we give a non-existence theorem for Hopf real hypersurfaces in complex two-plane Grassmannians
satisfying the condition that the structure Jacobi operator
commutes with the 3-structure tensors
, i = 1, 2, 3.
6
CONTROLLABILITY FOR SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS
Jeong, Jin-Mun ; Kim, Han-Geul ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 463~475
DOI : 10.4134/BKMS.2009.46.3.463
Abstract
This paper deals with the regularity properties for a class of semilinear integrodifferential functional differential equations. It is shown the relation between the reachable set of the semilinear system and that of its corresponding linear system. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example to which our main result can be applied is given.
7
HYPERSURFACES OF ALMOST γ-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A QUARTER SYMMETRIC METRIC CONNECTION
Ahmad, Mobin ; Jun, Jae-Bok ; Haseeb, Abdul ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 477~487
DOI : 10.4134/BKMS.2009.46.3.477
Abstract
We define a quarter symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, noninvariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection.
8
ON SEPARATIVE REFINEMENT MONOIDS
Chen, Huanyin ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 489~498
DOI : 10.4134/BKMS.2009.46.3.489
Abstract
We obtain two new characterizations of separativity of refinement monoids, in terms of comparability-type conditions. As applications, we get several equivalent conditions of separativity for exchange ideals.
9
QUADRATIC FUNCTIONAL EQUATIONS ASSOCIATED WITH BOREL FUNCTIONS AND MODULE ACTIONS
Park, Won-Gil ; Bae, Jae-Hyeong ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 499~510
DOI : 10.4134/BKMS.2009.46.3.499
Abstract
For a Borel function
satisfying the functional equation
(s + t, u + v) +
(s - t, u - v) =
(s, u) +
(t, v), we show that it satisfies the functional equation
(s, t) = s(s - t)
(1, 0) +
(1, 1) + t(t - s)
(0, 1). Using this, we prove the stability of the functional equation f(ax + ay, bz + bw) + f(ax - ay, bz - bw) = 2abf(x, z) + 2abf(y,w) in Banach modules over a unital
-algebra.
10
ON THE REFLEXIVE SOLUTIONS OF THE MATRIX EQUATION AXB + CYD = E
Dehghan, Mehdi ; Hajarian, Masoud ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 511~519
DOI : 10.4134/BKMS.2009.46.3.511
Abstract
A matrix
is called a generalized reflection matrix if
= P and
= I. An
complex matrix A is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix P if A = PAP (A = -PAP). It is well-known that the reflexive and anti-reflexive matrices with respect to the generalized reflection matrix P have many special properties and widely used in engineering and scientific computations. In this paper, we give new necessary and sufficient conditions for the existence of the reflexive (anti-reflexive) solutions to the linear matrix equation AXB + CY D = E and derive representation of the general reflexive (anti-reflexive) solutions to this matrix equation. By using the obtained results, we investigate the reflexive (anti-reflexive) solutions of some special cases of this matrix equation.
11
NEW COMPLEXITY ANALYSIS OF PRIMAL-DUAL IMPS FOR P
_{*}
LAPS BASED ON LARGE UPDATES
Cho, Gyeong-Mi ; Kim, Min-Kyung ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 521~534
DOI : 10.4134/BKMS.2009.46.3.521
Abstract
In this paper we present new large-update primal-dual interior point algorithms for
linear complementarity problems(LAPS) based on a class of kernel functions,
, p
[0, 1],
. It is the first to use this class of kernel functions in the complexity analysis of interior point method(IPM) for
LAPS. We showed that if a strictly feasible starting point is available, then new large-update primal-dual interior point algorithms for
LAPS have
complexity bound. When p = 1, we have
complexity which is so far the best known complexity for large-update methods.
12
SOME REMARKS ON THE HELTON CLASS OF AN OPERATOR
Kim, In-Sook ; Kim, Yoen-Ha ; Ko, Eun-Gil ; Lee, Ji-Eun ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 535~543
DOI : 10.4134/BKMS.2009.46.3.535
Abstract
In this paper we study some properties of the Helton class of an operator. In particular, we show that the Helton class preserves the quasinilpotent property and Dunford's boundedness condition (B). As corollaries, we get that the Helton class of some quadratically hyponormal operators or decomposable subnormal operators satisfies Dunford's boundedness condition (B).
13
MAPS IN MINIMAL INJECTIVE RESOLUTIONS OF MODULES
Lee, Ki-Suk ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 545~551
DOI : 10.4134/BKMS.2009.46.3.545
Abstract
We investigate the behavior of maps in minimal injective resolution of an A-module M when
(m,M) = 1 for some t, and we develop slightly the fact that a module of type 1 is Cohen-Macaulay.
14
GENERALIZED JORDAN TRIPLE HIGHER DERIVATIONS ON SEMIPRIME RINGS
Wei, Feng ; Xiao, Zhankui ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 553~565
DOI : 10.4134/BKMS.2009.46.3.553
Abstract
In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring.
15
HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE II
Choi, Mie-Kyung ; Kim, Young-Ho ; Park, Gi-Chan ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 567~576
DOI : 10.4134/BKMS.2009.46.3.567
Abstract
We classify and characterize the rational helicoidal surfaces in a three-dimensional Minkowski space satisfying pointwise 1-type like problem on the Gauss map.
16
η-PARALLEL CONTACT 3-MANIFOLDS
Cho, Jong-Taek ; Lee, Ji-Eun ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 577~589
DOI : 10.4134/BKMS.2009.46.3.577
Abstract
In this paper, we give a classification of contact 3-manifolds whose Ricci tensors are
-parallel.
17
ON IDEALS, FILTERS AND CONGRUENCES IN INCLINES
Yao, Wei ; Han, Song-Chol ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 591~598
DOI : 10.4134/BKMS.2009.46.3.591
Abstract
This paper studies the relations between ideals, filters, regular congruences and normal congruences in inclines. It is shown that for any incline, there are a one-to-one correspondence between all ideals and all regular congruences and a one-to-one correspondence between all filters and all normal congruences.
18
NOTES ON GENERALIZED DERIVATIONS ON LIE IDEALS IN PRIME RINGS
Dhara, Basudeb ; Filippis, Vincenzo De ;
Bulletin of the Korean Mathematical Society, volume 46, issue 3, 2009, Pages 599~605
DOI : 10.4134/BKMS.2009.46.3.599
Abstract
Let R be a prime ring, H a generalized derivation of R and L a noncommutative Lie ideal of R. Suppose that
= 0 for all u
L, where s
0, t
0 are fixed integers. Then H(x) = 0 for all x
R unless char R = 2 and R satisfies
, the standard identity in four variables.