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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 28, Issue 4 - Oct 2013
Volume 28, Issue 3 - Jul 2013
Volume 28, Issue 2 - Apr 2013
Volume 28, Issue 1 - Jan 2013
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1
INVOLUTIONS ON SURFACES OF GENERAL TYPE WITH p
_{g}
= 0 I. THE COMPOSED CASE
Shin, YongJoo ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 425~432
DOI : 10.4134/CKMS.2013.28.3.425
Abstract
Let S be a minimal surface of general type with
having an involution
over the field of complex numbers. It is well known that if the bicanonical map
of S is composed with
, then the minimal resolution W of the quotient
is rational or birational to an Enriques surface. In this paper we prove that the surface W of S with
having an involution
with which the bicanonical map
of S is composed is rational. This result applies in part to surfaces S with
for which
has degree 4 and is composed with an involution
. Also we list the examples available in the literature for the given
and the degree of
.
2
THE NUMBER OF POINTS ON ELLIPTIC CURVES y
^{2}
= x
^{3}
+ Ax AND y
^{2}
= x
^{3}
+ B
^{3}
MOD 24
Jeon, Wonju ; Kim, Daeyeoul ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 433~447
DOI : 10.4134/CKMS.2013.28.3.433
Abstract
In this paper, we calculate the number of points on elliptic curves
over
modulo 24. This is a generalization of [8], [9] and [16].
3
HARDILY RANKED BIGROUPOIDS
Ahn, Sun Shin ; Ko, Jung Mi ; So, Keum Sook ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 449~455
DOI : 10.4134/CKMS.2013.28.3.449
Abstract
The notion of hardily ranked bigroupoids is introduced and related properties are investigated. By considering congruence relations on a hardily ranked bigroupoid, the quotient structure of hardily ranked bigroupoids is discussed.
4
ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS
Araci, Serkan ; Acikgoz, Mehmet ; Gursul, Aynur ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 457~462
DOI : 10.4134/CKMS.2013.28.3.457
Abstract
In the present paper, we analyse analytic continuation of weighted
-Genocchi numbers and polynomials. A novel formula for weighted
-Genocchi-zeta function
in terms of nested series of
is derived. Moreover, we introduce a novel concept of dynamics of the zeros of analytically continued weighted
-Genocchi polynomials.
5
ON NIL GENERALIZED POWER SERIESWISE ARMENDARIZ RINGS
Ouyang, Lunqun ; Liu, Jinwang ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 463~480
DOI : 10.4134/CKMS.2013.28.3.463
Abstract
We in this note introduce a concept, so called nil generalized power serieswise Armendariz ring, that is a generalization of both S-Armendariz rings and nil power serieswise Armendariz rings. We first observe the basic properties of nil generalized power serieswise Armendariz rings, constructing typical examples. We next study the relationship between the nilpotent property of R and that of the generalized power series ring [[
]] whenever R is nil generalized power serieswise Armendariz.
6
ON POLYNOMIAL-STRUCTURE OF RINGS OF MODULAR FORMS FOR Γ
_{0}
(N)
Kim, Daeyeoul ; Li, Yan ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 481~486
DOI : 10.4134/CKMS.2013.28.3.481
Abstract
In this note, we show that
is a weighted polynomial ring if and only if N = 1, 2, 4, where
is the graded ring of integral-weighted modular forms for the congruence subgroup
.
7
CONTINUITY OF APPROXIMATE POINT SPECTRUM ON THE ALGEBRA B(X)
Sanchez-Perales, Salvador ; Cruz-Barriguete, Victor A. ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 487~500
DOI : 10.4134/CKMS.2013.28.3.487
Abstract
In this paper we provide a brief introduction to the continuity of approximate point spectrum on the algebra B(X), using basic properties of Fredholm operators and the SVEP condition. Also, we give an example showing that in general it not holds that if the spectrum is continuous an operator T, then for each
and
> 0, the ball
contains a component of
, contrary to what has been announced in [J. B. Conway and B. B. Morrel, Operators that are points of spectral continuity II, Integral Equations Operator Theory 4 (1981), 459-503] page 462.
8
LAPLACIAN ON A QUANTUM HEISENBERG MANIFOLD
Lee, Hyun Ho ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 501~509
DOI : 10.4134/CKMS.2013.28.3.501
Abstract
In this paper we give a definition of the Hodge type Laplacian
on a non-commutative manifold which is the smooth dense subalgebra of a
-algebra. We prove that the Laplacian on a quantum Heisenberg manifold is an elliptic operator in the sense that
is compact.
9
ON
-SUBHARMONICITY IN THE BALL
Kwon, Ern Gun ; Park, Jong Hee ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 511~516
DOI : 10.4134/CKMS.2013.28.3.511
Abstract
We establish an easy proof of an integral identity using the unitary invariance, which is applied to compare harmonicity and M-harmonicity.
10
COMMON FIXED POINT THEOREM IN FUZZY METRIC SPACE USING CONTROL FUNCTION
Kumar, Amit ; Vats, Ramesh Kumar ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 517~526
DOI : 10.4134/CKMS.2013.28.3.517
Abstract
We give a fixed point theorem for complete fuzzy metric space which generalizes fuzzy Banach contraction theorems established by V. Gregori and A. Spena [Fuzzy Sets and Systems 125 (2002), 245-252] using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1-9] in metric spaces.
11
ON A HYPERGEOMETRIC SUMMATION THEOREM DUE TO QURESHI ET AL.
Choi, Junesang ; Rathie, Arjun K. ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 527~534
DOI : 10.4134/CKMS.2013.28.3.527
Abstract
We first aim at proving an interesting easily derivable summation formula. Then it is easily seen that this formula immediately yields a hypergeometric summation theorem recently added to the literature by Qureshi et al. Moreover we apply the main formulas to present some interesting summation formulas, whose special cases are also seen to yield the earlier known results.
12
JORDAN DERIVATIONS ON PRIME RINGS AND THEIR APPLICATIONS IN BANACH ALGEBRAS, I
Kim, Byung-Do ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 535~558
DOI : 10.4134/CKMS.2013.28.3.535
Abstract
The purpose of this paper is to prove that the noncommutative version of the Singer-Wermer Conjecture is affirmative under certain conditions. Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation
such that
for all
. In this case, we show that
.
13
REGULARITY FOR SEMILINEAR RETARDED FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS
Jeong, Jin-Mun ; Cheon, Su Jin ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 559~569
DOI : 10.4134/CKMS.2013.28.3.559
Abstract
The purpose of this paper is to establish existence, uniqueness and a variation of constant formula of solutions for semilinear partial functional differential equations with unbounded delays and nonlinear part involving integro differetial terms.
14
A NOTE ON THE LORENTZIAN LIMIT CURVE THEOREM
Yun, Jong-Gug ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 571~580
DOI : 10.4134/CKMS.2013.28.3.571
Abstract
In this paper, we extend the familiar limit curve theorem in [2] to a situation where each causal curve lies in a sequence of compact interpolating spacetimes converging to a limit Lorentz space in the sense of Lorentzian Gromov-Hausdorff distance.
15
GENERIC DIFFEOMORPHISMS WITH ROBUSTLY TRANSITIVE SETS
Lee, Manseob ; Lee, Seunghee ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 581~587
DOI : 10.4134/CKMS.2013.28.3.581
Abstract
Let
be a robustly transitive set of a diffeomorphism
on a closed
manifold. In this paper, we characterize hyperbolicity of
in
-generic sense.
16
DENSE SETS IN WEAK STRUCTURE AND MINIMAL STRUCTURE
Modak, Shyamapada ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 589~596
DOI : 10.4134/CKMS.2013.28.3.589
Abstract
This paper is an attempt to study and introduce the notion of
-dense set in weak structures and the notion of m-dense set in minimal structures. We have also investigate the relationships between
-dense sets,
-dense sets,
sets,
sets,
sets,
sets, m-semiopen sets and
-preopen sets. Further we give some representations of the above generalized sets in minimal structures as well as in weak structures.
17
DUALITY THEOREM AND VECTOR SADDLE POINT THEOREM FOR ROBUST MULTIOBJECTIVE OPTIMIZATION PROBLEMS
Kim, Moon Hee ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 597~602
DOI : 10.4134/CKMS.2013.28.3.597
Abstract
In this paper, Mond-Weir type duality results for a uncertain multiobjective robust optimization problem are given under generalized invexity assumptions. Also, weak vector saddle-point theorems are obtained under convexity assumptions.
18
ON CONVERGENCE OF THE MODIFIED GAUSS-SEIDEL ITERATIVE METHOD FOR H-MATRIX LINEAR SYSTEM
Miao, Shu-Xin ; Zheng, Bing ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 603~613
DOI : 10.4134/CKMS.2013.28.3.603
Abstract
In 2009, Zheng and Miao [B. Zheng and S.-X. Miao, Two new modified Gauss-Seidel methods for linear system with M-matrices, J. Comput. Appl. Math. 233 (2009), 922-930] considered the modified Gauss-Seidel method for solving M-matrix linear system with the preconditioner
. In this paper, we consider the modified Gauss-Seidel method for solving the linear system with the generalized preconditioner
, and study its convergent properties when the coefficient matrix is an H-matrix. Numerical experiments are performed with different examples, and the numerical results verify our theoretical analysis.
19
PRICING OF QUANTO OPTION UNDER THE HULL AND WHITE STOCHASTIC VOLATILITY MODEL
Park, Jiho ; Lee, Youngrok ; Lee, Jaesung ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 615~633
DOI : 10.4134/CKMS.2013.28.3.615
Abstract
We use a power series expansion method to get an analytic approximation value for the quanto option price under the Hull and White stochastic volatility model, which turns out to be accurate enough by comparing with the simulation prices using Monte Carlo method.
20
PARAMETRIC OPERATIONS FOR TWO FUZZY NUMBERS
Byun, Jisoo ; Yun, Yong Sik ;
Communications of the Korean Mathematical Society, volume 28, issue 3, 2013, Pages 635~642
DOI : 10.4134/CKMS.2013.28.3.635
Abstract
There are many results on the extended operations of two fuzzy numbers based on the Zadeh's extension principle. For the calculation, we have to use existing operations between two
-cuts. In this paper, we define parametric operations between two
-cuts which are different from the existing operations. But we have the same results as the extended operations of Zadeh's principle.