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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 :
Yongnam Lee
Volume & Issues
Volume 50, Issue 6 - Nov 2013
Volume 50, Issue 5 - Sep 2013
Volume 50, Issue 4 - Jul 2013
Volume 50, Issue 3 - May 2013
Volume 50, Issue 2 - Mar 2013
Volume 50, Issue 1 - Jan 2013
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1
BIFURCATION ANALYSIS OF A DELAYED PREDATOR-PREY MODEL OF PREY MIGRATION AND PREDATOR SWITCHING
Xu, Changjin ; Tang, Xianhua ; Liao, Maoxin ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 353~373
DOI : 10.4134/BKMS.2013.50.2.353
Abstract
In this paper, a class of delayed predator-prey models of prey migration and predator switching is considered. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulations for justifying the theoretical analysis are also provided. Finally, biological explanations and main conclusions are given.
2
WEAK AND STRONG CONVERGENCE THEOREMS FOR A SYSTEM OF MIXED EQUILIBRIUM PROBLEMS AND A NONEXPANSIVE MAPPING IN HILBERT SPACES
Plubtieng, Somyot ; Sombut, Kamonrat ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 375~388
DOI : 10.4134/BKMS.2013.50.2.375
Abstract
In this paper, we introduce an iterative sequence for finding solution of a system of mixed equilibrium problems and the set of fixed points of a nonexpansive mapping in Hilbert spaces. Then, the weak and strong convergence theorems are proved under some parameters controlling conditions. Moreover, we apply our result to fixed point problems, system of equilibrium problems, general system of variational inequalities, mixed equilibrium problem, equilibrium problem and variational inequality.
3
PURE INJECTIVE REPRESENTATIONS OF QUIVERS
Hosseini, Esmaeil ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 389~398
DOI : 10.4134/BKMS.2013.50.2.389
Abstract
Let R be a ring and
be a quiver. In this paper we give another definition of purity in the category of quiver representations. Under such definition we prove that the class of all pure injective representations of
by R-modules is preenveloping. In case
is a left rooted semi-co-barren quiver and R is left Noetherian, we show that every cotorsion flat representation of
is pure injective. If, furthermore, R is
-perfect and
is a flat representation
, then the pure injective dimension of
is at most
.
4
THIN ADDITIVE BASES FOR MONIC POLYNOMIALS IN F
_{q}
[t]
Bender, Andreas O. ; Im, Bo-Hae ; Lee, Yoonjin ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 399~405
DOI : 10.4134/BKMS.2013.50.2.399
Abstract
We explicitly construct a thin basis for the set
of monic polynomials in one variable
over a finite field
.
5
ON THE p-PRIMARY PART OF TATE-SHAFAREVICH GROUP OF ELLIPTIC CURVES OVER ℚ WHEN p IS SUPERSINGULAR
Kim, Dohyeong ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 407~416
DOI : 10.4134/BKMS.2013.50.2.407
Abstract
Let E be an elliptic curve over
and
be a prime of good supersingular reduction for E. Although the Iwasawa theory of E over the cyclotomic
-extension of
is well known to be fundamentally different from the case of good ordinary reduction at p, we are able to combine the method of our earlier paper with the theory of Kobayashi [5] and Pollack [8], to give an explicit upper bound for the number of copies of
occurring in the
-primary part of the Tate-Shafarevich group of E over
.
6
CHARACTERIZATIONS OF GEOMETRICAL PROPERTIES OF BANACH SPACES USING ψ-DIRECT SUMS
Zhang, Zhihua ; Shu, Lan ; Zheng, Jun ; Yang, Yuling ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 417~430
DOI : 10.4134/BKMS.2013.50.2.417
Abstract
Let X be a Banach space and
a continuous convex function on
satisfying certain conditions. Let
be the
-direct sum of X. In this paper, we characterize the K strict convexity, K uniform convexity and uniform non-
-ness of Banach spaces using
-direct sums.
7
THE FIRST POSITIVE EIGENVALUE OF THE DIRAC OPERATOR ON 3-DIMENSIONAL SASAKIAN MANIFOLDS
Kim, Eui Chul ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 431~440
DOI : 10.4134/BKMS.2013.50.2.431
Abstract
Let (
,
) be a 3-dimensional closed Sasakian spin manifold. Let
denote the minimum of the scalar curvature of (
,
). Let
> 0 be the first positive eigenvalue of the Dirac operator of (
,
). We proved in [13] that if
belongs to the interval
, then
satisfies
. In this paper, we remove the restriction "if
belongs to the interval
" and prove
.
8
ON NULL CUT POINTS IN TWO-DIMENSIONAL SPACETIMES
Kim, Do-Hyung ; Kim, Byung Hak ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 441~444
DOI : 10.4134/BKMS.2013.50.2.441
Abstract
It is shown that any two-dimensional globally hyperbolic spacetime with noncompact Cauchy surfaces has no null cut points.
9
SEMIGROUP PRESENTATIONS FOR CONGRUENCES ON GROUPS
Ayik, Gonca ; Caliskan, Basri ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 445~449
DOI : 10.4134/BKMS.2013.50.2.445
Abstract
We consider a congruence
on a group G as a subsemigroup of the direct product
. It is well known that a relation
on G is a congruence if and only if there exists a normal subgroup N of G such that ${\rho}
10
HYBRID MEAN VALUE OF THE GENERALIZED KLOOSTERMAN SUMS AND DIRICHLET CHARACTER OF POLYNOMIALS
Jingzhe, Wang ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 451~458
DOI : 10.4134/BKMS.2013.50.2.451
Abstract
The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind mean value of the generalized Kloosterman sums and Dirichlet character of polynomials, and give an interesting asymptotic formula for it.
11
MATLIS INJECTIVE MODULES
Yan, Hangyu ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 459~467
DOI : 10.4134/BKMS.2013.50.2.459
Abstract
In this paper, Matlis injective modules are introduced and studied. It is shown that every R-module has a (special) Matlis injective preenvelope over any ring R and every right R-module has a Matlis injective envelope when R is a right Noetherian ring. Moreover, it is shown that every right R-module has an
-envelope when R is a right Noetherian ring and
is a class of injective right R-modules.
12
A CORRECTION TO A PAPER ON ROMAN κ-DOMINATION IN GRAPHS
Mojdeh, Doost Ali ; Moghaddam, Seyed Mehdi Hosseini ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 469~473
DOI : 10.4134/BKMS.2013.50.2.469
Abstract
Let G
13
LOCALIZATION OF INJECTIVE MODULES OVER ω-NOETHERIAN RINGS
Kim, Hwankoo ; Wang, Fanggui ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 475~483
DOI : 10.4134/BKMS.2013.50.2.475
Abstract
We give some characterizations of injective modules over
-Noetherian rings. It is also shown that each localization of a GV-torsion-free injective module over a
-Noetherian ring is injective.
14
SCHUR POWER CONVEXITY OF GINI MEANS
Yang, Zhen-Hang ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 485~498
DOI : 10.4134/BKMS.2013.50.2.485
Abstract
In this paper, the Schur convexity is generalized to Schur
-convexity, which contains the Schur geometrical convexity, harmonic convexity and so on. When
:
is defined as $f(x)
15
UNIQUENESS OF THE SOLUTION OF HALF INVERSE PROBLEM FOR THE IMPULSIVE STURM LIOUVILLE OPERATOR
Ozkan, A. Sinan ; Keskin, Baki ; Cakmak, Yasar ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 499~506
DOI : 10.4134/BKMS.2013.50.2.499
Abstract
The half-inverse spectral problem for an impulsive Sturm-Liouville operator consists in reconstruction of this operator from its spectrum and half of the potential. In this study, the spectrum of the impulsive Sturm-Liouville problem is given and by using the Hochstadt and Lieberman`s method we show that if
is prescribed on (0,
), then only one spectrum is sufficient to determine
on the interval (0,
) for this problem.
16
n-ARY HYPERGROUPS ASSOCIATED WITH n-ARY RELATIONS
Anvariyeh, Seid Mohammad ; Momeni, Somayyeh ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 507~524
DOI : 10.4134/BKMS.2013.50.2.507
Abstract
The notion of
-ary algebraic hyperstructures is a generalization of ordinary algebraic hyperstructures. In this paper, we associate an n-ary hypergroupoid (H,
) with an (
)-ary relation
defined on a non-empty set H. Then, we obtain some basic results in this respect. In particular, we investigate when it is an
-ary
-group, an
-ary hypergroup or a join
-ary space.
17
RECURRENT JACOBI OPERATOR OF REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS
Jeong, Imsoon ; Perez, Juan De Dios ; Suh, Young Jin ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 525~536
DOI : 10.4134/BKMS.2013.50.2.525
Abstract
In this paper we give a non-existence theorem for Hopf hypersurfaces in the complex two-plane Grassmannian
with re-current normal Jacobi operator
.
18
ADDENDUM AND ERRATUM TO "ON THE STRUCTURE OF THE FUNDAMENTAL GROUP OF MANIFOLDS WITH POSITIVE SCALAR CURVATURE"
Kim, Jin Hong ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 537~542
DOI : 10.4134/BKMS.2013.50.2.537
Abstract
19
ON RIGHT-ANGLED ARTIN GROUPS WHOSE UNDERLYING GRAPHS HAVE TWO VERTICES WITH THE SAME LINK
Kim, Jongtae ; Moon, Myoungho ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 543~558
DOI : 10.4134/BKMS.2013.50.2.543
Abstract
Let
be a graph which contains two vertices
,
with the same link. For the case where the link has less than 3 vertices, we prove that if the right-angled Artin group A(
) contains a hyperbolic surface subgroup, then A(
-{a}) contains a hyperbolic surface subgroup. Moreover, we also show that the same result holds with certain restrictions for the case where the link has more than or equal to 3 vertices.
20
ON SOME RESULTS OF BUMP-CHOIE AND CHOIE-KIM
Hundley, Joseph ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 559~581
DOI : 10.4134/BKMS.2013.50.2.559
Abstract
This paper is motivated by a 2001 paper of Choie and Kim and a 2006 paper of Bump and Choie. The paper of Choie and Kim extends an earlier result of Bol for elliptic modular forms to the setting of Siegel and Jacobi forms. The paper of Bump and Choie provides a representation theoretic interpretation of the phenomenon, and shows how a natural generalization of Choie and Kim`s result on Siegel modular forms follows from a natural conjecture regarding (
, K)-modules. In this paper, it is shown that the conjecture of Bump and Choie follows from work of Boe. A second proof which is along the lines of the proof given by Bump and Choie in the genus 2 case is also included, as is a similar treatment of the result of Choie and Kim on Jacobi forms.
21
A NOTE ON THE q-ANALOGUE OF KIM`S p-ADIC log GAMMA TYPE FUNCTIONS ASSOCIATED WITH q-EXTENSION OF GENOCCHI AND EULER NUMBERS WITH WEIGHT α
Araci, Serkan ; Acikgoz, Mehmet ; Park, Kyoung Ho ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 583~588
DOI : 10.4134/BKMS.2013.50.2.583
Abstract
In this paper, we introduce the
-analogue of
-adic log gamma functions with weight alpha. Moreover, we give a relationship between weighted
-adic
-log gamma functions and
-extension of Genocchi and Euler numbers with weight alpha.
22
SOLVABILITY AND BOUNDEDNESS FOR GENERAL VARIATIONAL INEQUALITY PROBLEMS
Luo, Gui-Mei ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 589~599
DOI : 10.4134/BKMS.2013.50.2.589
Abstract
In this paper, we propose a sufficient condition for the existence of solutions to general variational inequality problems (GVI(K, F,
)). The condition is also necessary when F is a
function. We also investigate the boundedness of the solution set of (GVI(K, F,
)). Furthermore, we show that when F is norm-coercive, the general complementarity problems (GCP(K, F,
)) has a nonempty compact solution set. Finally, we establish some existence theorems for (GNCP(K, F,
)).
23
A CLASS OF ARITHMETIC FUNCTIONS ON PSL
_{2}
(Z)
Spiegelhalter, Paul ; Zaharescu, Alexandru ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 601~610
DOI : 10.4134/BKMS.2013.50.2.601
Abstract
In [3] and [2], Atanassov introduced the two arithmetic functions $$I(n)
24
UNIFORM ASYMPTOTICS FOR THE FINITE-TIME RUIN PROBABILITY IN A GENERAL RISK MODEL WITH PAIRWISE QUASI-ASYMPTOTICALLY INDEPENDENT CLAIMS AND CONSTANT INTEREST FORCE
Gao, Qingwu ; Yang, Yang ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 611~626
DOI : 10.4134/BKMS.2013.50.2.611
Abstract
In the paper we study the finite-time ruin probability in a general risk model with constant interest force, in which the claim sizes are pairwise quasi-asymptotically independent and arrive according to an arbitrary counting process, and the premium process is a general stochastic process. For the case that the claim-size distribution belongs to the consistent variation class, we obtain an asymptotic formula for the finite-time ruin probability, which holds uniformly for all time horizons varying in a relevant infinite interval. The obtained result also includes an asymptotic formula for the infinite-time ruin probability.
25
MAXIMAL PROPERTIES OF SOME SUBSEMIBANDS OF ORDER-PRESERVING FULL TRANSFORMATIONS
Zhao, Ping ; Yang, Mei ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 627~637
DOI : 10.4134/BKMS.2013.50.2.627
Abstract
Let [
]
26
ON FINSLER METRICS OF CONSTANT S-CURVATURE
Mo, Xiaohuan ; Wang, Xiaoyang ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 639~648
DOI : 10.4134/BKMS.2013.50.2.639
Abstract
In this paper, we study Finsler metrics of constant S-curvature. First we produce infinitely many Randers metrics with non-zero (constant) S-curvature which have vanishing H-curvature. They are counterexamples to Theorem 1.2 in [20]. Then we show that the existence of (
,
)-metrics with arbitrary constant S-curvature in each dimension which is not Randers type by extending Li-Shen` construction.
27
FINITENESS PROPERTIES OF EXTENSION FUNCTORS OF COFINITE MODULES
Irani, Yavar ; Bahmanpour, Kamal ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 649~657
DOI : 10.4134/BKMS.2013.50.2.649
Abstract
Let R be a commutative Noetherian ring, I an ideal of R and T be a non-zero I-cofinite R-module with dim(T)
1. In this paper, for any finitely generated R-module N with support in V(I), we show that the R-modules
(T,N) are finitely generated for all integers
. This immediately implies that if I has dimension one (i.e., dim R/I
28
A NOTE ON THE TWISTED LERCH TYPE EULER ZETA FUNCTIONS
He, Yuan ; Zhang, Wenpeng ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 659~665
DOI : 10.4134/BKMS.2013.50.2.659
Abstract
In this note, the
-extension of the twisted Lerch Euler zeta functions considered by Jang [Bull. Korean Math. Soc. 47 (2010), no. 6, 1181-1188] is further investigated, and the generalized multiplication theorem for the
-extension of the twisted Lerch Euler zeta functions is given. As applications, some well-known results in the references are deduced as special cases.
29
COMPATIBILITY IN CERTAIN QUASIGROUP HOMOGENEOUS SPACE
Im, Bokhee ; Ryu, Ji-Young ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 667~674
DOI : 10.4134/BKMS.2013.50.2.667
Abstract
Considering a special double-cover Q of the symmetric group of degree 3, we show that a proper non-regular approximate symmetry occurs from its quasigroup homogeneous space. The weak compatibility of any two elements of Q is completely characterized in any such quasigroup homogeneous space of degree 4.
30
UNIFORMLY BOUNDED COMPOSITION OPERATORS ON A BANACH SPACE OF BOUNDED WIENER-YOUNG VARIATION FUNCTIONS
Glazowska, Dorota ; Guerrero, Jose Atilio ; Matkowski, Janusz ; Merentes, Nelson ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 675~685
DOI : 10.4134/BKMS.2013.50.2.675
Abstract
We prove, under some general assumptions, that a generator of any uniformly bounded Nemytskij operator, mapping a subset of space of functions of bounded variation in the sense of Wiener-Young into another space of this type, must be an affine function with respect to the second variable.
31
REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK
Shi, Yanyue ; Lu, Yufeng ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 687~696
DOI : 10.4134/BKMS.2013.50.2.687
Abstract
In this note, we completely characterize the reducing subspaces of
on
where
> -1 and N, M are positive integers with
, and show that the minimal reducing subspaces of
on the unweighted Bergman space and on the weighted Bergman space are different.
32
ON THE SOLUTIONS OF x
^{κ}
Prajapati, Sunil Kumar ; Sarma, Ritumoni ;
Bulletin of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 697~704
DOI : 10.4134/BKMS.2013.50.2.697
Abstract
The function
which counts the number of solutions of $x^k