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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 52, Issue 6 - Nov 2015
Volume 52, Issue 5 - Sep 2015
Volume 52, Issue 4 - Jul 2015
Volume 52, Issue 3 - May 2015
Volume 52, Issue 2 - Mar 2015
Volume 52, Issue 1 - Jan 2015
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1
A NOTE ON NEVANLINNA'S FIVE VALUE THEOREM
Lahiri, Indrajit ; Pal, Rupa ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 345~350
DOI : 10.4134/BKMS.2015.52.2.345
Abstract
In the paper we prove a uniqueness theorem which improves and generalizes a number of uniqueness theorems for meromorphic functions related to Nevanlinna's five value theorem.
2
LIE IDEALS IN TRIDIAGONAL ALGEBRA ALG𝓛
_{∞}
Kang, Joo Ho ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 351~361
DOI : 10.4134/BKMS.2015.52.2.351
Abstract
We give examples of Lie ideals in a tridiagonal algebra
and study some properties of Lie ideals in
. We also investigate relationships between Lie ideals in
. Let k be a fixed natural number. Let
be a linear manifold in
such that
for all
. Then
is a Lie ideal if and only if
for all
.
3
TWO APPLICATIONS OF LEWIS' THEOREM ON CHARACTER DEGREE GRAPHS OF SOLVABLE GROUPS
He, Liguo ; Zhao, Yuanhe ; Bi, Jianxing ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 363~366
DOI : 10.4134/BKMS.2015.52.2.363
Abstract
In this note, we prove Gluck's conjecture and Isaacs-Navarro-Wolf Conjecture are true for the solvable groups with disconnected graphs by using Lewis' group structure theorem with respect to the disconnected character degree graphs.
4
FINITE p-GROUPS WHOSE NON-CENTRAL CYCLIC SUBGROUPS HAVE CYCLIC QUOTIENT GROUPS IN THEIR CENTRALIZERS
Zhang, Lihua ; Wang, Jiao ; Qu, Haipeng ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 367~376
DOI : 10.4134/BKMS.2015.52.2.367
Abstract
In this paper, we classified finite p-groups G such that
is cyclic for all non-central elements
. This solved a problem proposed By Y. Berkovoch.
5
BERTRAND CURVES AND RAZZABONI SURFACES IN MINKOWSKI 3-SPACE
Xu, Chuanyou ; Cao, Xifang ; Zhu, Peng ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 377~394
DOI : 10.4134/BKMS.2015.52.2.377
Abstract
In this paper, we generalize some results about Bertrand curves and Razzaboni surfaces in Euclidean 3-space to the case that the ambient space is Minkowski 3-space. Our discussion is divided into three different cases, i.e., the parent Bertrand curve being timelike, spacelike with timelike principal normal, and spacelike with spacelike principal normal. For each case, first we show that Razzaboni surfaces and their mates are related by a reciprocal transformation; then we give B
cklund transformations for Bertrand curves and for Razzaboni surfaces; finally we prove that the reciprocal and B
cklund transformations on Razzaboni surfaces commute.
6
THE DISTINGUISHING NUMBERS OF MERGED JOHNSON GRAPHS
Kim, Dongseok ; Kwon, Young Soo ; Lee, Jaeun ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 395~408
DOI : 10.4134/BKMS.2015.52.2.395
Abstract
In present article, we determine the distinguishing number of the merged Johnson graphs which are generalization of both the Kneser graphs and the Johnson graphs.
7
CAYLEY-SYMMETRIC SEMIGROUPS
Zhu, Yongwen ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 409~419
DOI : 10.4134/BKMS.2015.52.2.409
Abstract
The concept of Cayley-symmetric semigroups is introduced, and several equivalent conditions of a Cayley-symmetric semigroup are given so that an open problem proposed by Zhu [19] is resolved generally. Furthermore, it is proved that a strong semilattice of self-decomposable semigroups
is Cayley-symmetric if and only if each
is Cayley-symmetric. This enables us to present more Cayley-symmetric semi-groups, which would be non-regular. This result extends the main result of Wang [14], which stated that a regular semigroup is Cayley-symmetric if and only if it is a Clifford semigroup. In addition, we discuss Cayley-symmetry of Rees matrix semigroups over a semigroup or over a 0-semigroup.
8
NONLINEAR DIFFERENTIAL INCLUSIONS OF SEMIMONOTONE AND CONDENSING TYPE IN HILBERT SPACES
Abedi, Hossein ; Jahanipur, Ruhollah ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 421~438
DOI : 10.4134/BKMS.2015.52.2.421
Abstract
In this paper, we study the existence of classical and generalized solutions for nonlinear differential inclusions
in Hilbert spaces in which the multifunction F on the right-hand side is hemicontinuous and satisfies the semimonotone condition or is condensing. Our existence results are obtained via the selection and fixed point methods by reducing the problem to an ordinary differential equation. We first prove the existence theorem in finite dimensional spaces and then we generalize the results to the infinite dimensional separable Hilbert spaces. Then we apply the results to prove the existence of the mild solution for semilinear evolution inclusions. At last, we give an example to illustrate the results obtained in the paper.
9
NEW BROWDER AND WEYL TYPE THEOREMS
Berkani, Mohammed ; Kachad, Mohammed ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 439~452
DOI : 10.4134/BKMS.2015.52.2.439
Abstract
In this paper we introduce and study the new properties (
), (
), (
) and (
). The main goal of this paper is to study relationship between these new properties and other Weyl type theorems. Moreover, we reconsider several earlier results obtained respectively in [11], [18], [14], [1] and [13] for which we give stronger versions.
10
ON POLARS OF MIXED COMPLEX PROJECTION BODIES
Liu, Lijuan ; Wang, Wei ; Huang, Qingzhong ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 453~465
DOI : 10.4134/BKMS.2015.52.2.453
Abstract
In this paper we establish general Minkowski inequality, Aleksandrov-Fenchel inequality and Brunn-Minkowski inequality for polars of mixed complex projection bodies.
11
SIGNED A-POLYNOMIALS OF GRAPHS AND POINCARÉ POLYNOMIALS OF REAL TORIC MANIFOLDS
Seo, Seunghyun ; Shin, Heesung ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 467~481
DOI : 10.4134/BKMS.2015.52.2.467
Abstract
Choi and Park introduced an invariant of a finite simple graph, called signed a-number, arising from computing certain topological invariants of some specific kinds of real toric manifolds. They also found the signed a-numbers of path graphs, cycle graphs, complete graphs, and star graphs. We introduce a signed a-polynomial which is a generalization of the signed a-number and gives a-, b-, and c-numbers. The signed a-polynomial of a graph G is related to the
polynomial
, which is the generating function for the Betti numbers of the real toric manifold M(G). We give the generating functions for the signed a-polynomials of not only path graphs, cycle graphs, complete graphs, and star graphs, but also complete bipartite graphs and complete multipartite graphs. As a consequence, we find the Euler characteristic number and the Betti numbers of the real toric manifold M(G) for complete multipartite graphs G.
12
MULTIDIMENSIONAL BSDES WITH UNIFORMLY CONTINUOUS GENERATORS AND GENERAL TIME INTERVALS
Fan, Shengjun ; Wang, Yanbin ; Xiao, Lishun ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 483~504
DOI : 10.4134/BKMS.2015.52.2.483
Abstract
This paper is devoted to solving a multidimensional backward stochastic differential equation with a general time interval, where the generator is uniformly continuous in (y, z) non-uniformly with respect to t. By establishing some results on deterministic backward differential equations with general time intervals, and by virtue of Girsanov's theorem and convolution technique, we prove a new existence and uniqueness result for solutions of this kind of backward stochastic differential equations, which extends the results of [8] and [6] to the general time interval case.
13
SOME UNIFORM GEOMETRICAL PROPERTIES IN BANACH SPACES
Cho, Kyugeun ; Lee, Chongsung ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 505~511
DOI : 10.4134/BKMS.2015.52.2.505
Abstract
In this paper, we investigate relationships among property (
), weak property (
), k-nearly uniformly convexity and property (
).
14
ON THE EQUATION 𝜙(5
^{m}
- 1) = 5
^{n}
- 1
Faye, Bernadette ; Luca, Florian ; Tall, Amadou ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 513~524
DOI : 10.4134/BKMS.2015.52.2.513
Abstract
Here, we show that the title equation has no positive integer solutions (m, n), where
is the Euler function.
15
UPPERS TO ZERO IN POLYNOMIAL RINGS WHICH ARE MAXIMAL IDEALS
Chang, Gyu Whan ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 525~530
DOI : 10.4134/BKMS.2015.52.2.525
Abstract
Let D be an integrally closed domain with quotient field K, X be an indeterminate over D,
be irreducible in K[X], and
. In this paper, we show that
is a maximal ideal of D[X] if and only if
for all nonzero prime ideals P of D; in this case,
. As a corollary, we have that if D is a Krull domain, then D has infinitely many height-one prime ideals if and only if each maximal ideal of D[X] has height
.
16
AN INDEPENDENT RESULT FOR ATTACHED PRIMES OF CERTAIN TOR-MODULES
Khanh, Pham Huu ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 531~540
DOI : 10.4134/BKMS.2015.52.2.531
Abstract
Let (R, m) be a Noetherian local ring, I an ideal of R, and A an Artinian R-module. Let
be an integer and
the supremum of length of A-cosequence in dimension > k in I defined by Nhan-Hoang [8]. It is shown that for all
the sets
are independent of the choice of
for any system of generators (
) of I.
17
A NOTE ON w-NOETHERIAN RINGS
Xing, Shiqi ; Wang, Fanggui ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 541~548
DOI : 10.4134/BKMS.2015.52.2.541
Abstract
Let R be a commutative ring. An R-module M is called a w-Noetherian module if every submodule of M is of w-finite type. R is called a w-Noetherian ring if R as an R-module is a w-Noetherian module. In this paper, we present an exact version of the Eakin-Nagata Theorem on w-Noetherian rings. To do this, we prove the Formanek Theorem for w-Noetherian rings. Further, we point out by an example that the condition (
) in the Chung-Ha-Kim version of the Eakin-Nagata Theorem on SM domains is essential.
18
MODULES SATISFYING CERTAIN CHAIN CONDITIONS AND THEIR ENDOMORPHISMS
Wang, Fanggui ; Kim, Hwankoo ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 549~556
DOI : 10.4134/BKMS.2015.52.2.549
Abstract
In this paper, we characterize w-Noetherian modules in terms of polynomial modules and w-Nagata modules. Then it is shown that for a finite type w-module M, every w-epimorphism of M onto itself is an isomorphism. We also define and study the concepts of w-Artinian modules and w-simple modules. By using these concepts, it is shown that for a w-Artinian module M, every w-monomorphism of M onto itself is an isomorphism and that for a w-simple module M,
is a division ring.
19
ON ACTION OF LAU ALGEBRAS ON VON NEUMANN ALGEBRAS
Mohammad, Ramezanpour ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 557~570
DOI : 10.4134/BKMS.2015.52.2.557
Abstract
Let
be a von Neumann algebraic locally compact quantum group, in the sense of Kustermans and Vaes. In this paper, as a consequence of a notion of amenability for actions of Lau algebras, we show that
, the dual of
, is co-amenable if and only if there is a state
which is invariant under a left module action of
on
. This is the quantum group version of a result by Stokke [17]. We also characterize amenable action of Lau algebras by several properties such as fixed point property. This yields in particular, a fixed point characterization of amenable groups and H-amenable representation of groups.
20
CENTROID OF TRIANGLES ASSOCIATED WITH A CURVE
Kim, Dong-Soo ; Kim, Dong Seo ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 571~579
DOI : 10.4134/BKMS.2015.52.2.571
Abstract
Archimedes showed that the area between a parabola and any chord AB on the parabola is four thirds of the area of triangle
, where P is the point on the parabola at which the tangent is parallel to the chord AB. Recently, this property of parabolas was proved to be a characteristic property of parabolas. With the aid of this characterization of parabolas, using centroid of triangles associated with a curve we present two conditions which are necessary and sufficient for a strictly locally convex curve in the plane to be a parabola.
21
LIE TRIPLE DERIVATIONS ON FACTOR VON NEUMANN ALGEBRAS
Liu, Lei ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 581~591
DOI : 10.4134/BKMS.2015.52.2.581
Abstract
Let
be a factor von Neumann algebra with dimension greater than 1. We prove that if a linear map
satisfies
for any
with ab = 0 (resp. ab = P, where P is a fixed nontrivial projection of
), then there exist an operator
and a linear map
vanishing at every second commutator [[a, b], c] with ab = 0 (resp. ab = P) such that
for any
.
22
UNIVARIATE LEFT FRACTIONAL POLYNOMIAL HIGH ORDER MONOTONE APPROXIMATION
Anastassiou, George A. ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 593~601
DOI : 10.4134/BKMS.2015.52.2.593
Abstract
Let
([-1,1]),
and let
be a linear left fractional differential operator such that
throughout [0, 1]. We can find a sequence of polynomials
of degree
such that
over [0, 1], furthermore f is approximated left fractionally and simulta-neously by
on [-1, 1]. The degree of these restricted approximations is given via inequalities using a higher order modulus of smoothness for
.
23
SOME SYMMETRY IDENTITIES FOR GENERALIZED TWISTED BERNOULLI POLYNOMIALS TWISTED BY UNRAMIFIED ROOTS OF UNITY
Kim, Dae San ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 603~618
DOI : 10.4134/BKMS.2015.52.2.603
Abstract
We derive three identities of symmetry in two variables and eight in three variables related to generalized twisted Bernoulli polynomials and generalized twisted power sums, both of which are twisted by unramified roots of unity. The case of ramified roots of unity was treated previously. The derivations of identities are based on the p-adic integral expression, with respect to a measure introduced by Koblitz, of the generating function for the generalized twisted Bernoulli polynomials and the quotient of p-adic integrals that can be expressed as the exponential generating function for the generalized twisted power sums.
24
REGULARITY CRITERIA FOR THE p-HARMONIC AND OSTWALD-DE WAELE FLOWS
Fan, Jishan ; Nakamura, Gen ; Zhou, Yong ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 619~626
DOI : 10.4134/BKMS.2015.52.2.619
Abstract
This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin's type regularity criteria are established for 1 < p < 2.
25
COVARIANT MAPS FOR THE SCHRÖDINGER-WEIL REPRESENTATION
Yang, Jae-Hyun ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 627~647
DOI : 10.4134/BKMS.2015.52.2.627
Abstract
In this paper, we construct the Schr
dinger-Weil representation of the Jacobi group associated with a positive definite symmetric real matrix of degree m and find covariant maps for the Schr
dinger-Weil representation.
26
SUBSTITUTION OPERATORS IN THE SPACES OF FUNCTIONS OF BOUNDED VARIATION BV
^{2}
_{α}
(I)
Aziz, Wadie ; Guerrero, Jose Atilio ; Merentes, Nelson ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 649~659
DOI : 10.4134/BKMS.2015.52.2.649
Abstract
The space
of all the real functions defined on interval
, which are of bounded second
-variation (in the sense De la Vall
Poussin) on I forms a Banach space. In this space we define an operator of substitution H generated by a function
, and prove, in particular, that if H maps
into itself and is globally Lipschitz or uniformly continuous, then h is an affine function with respect to the second variable.
27
EXISTENCE AND CONCENTRATION RESULTS FOR KIRCHHOFF-TYPE SCHRÖ DINGER SYSTEMS WITH STEEP POTENTIAL WELL
Lu, Dengfeng ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 661~677
DOI : 10.4134/BKMS.2015.52.2.661
Abstract
In this paper, we consider the following Kirchhoff-type Schr
dinger system
where
and
are positive constants for i = 1, 2,
> 0 is a parameter, V (x) and W(x) are nonnegative continuous potential functions. By applying the Nehari manifold method and the concentration-compactness principle, we obtain the existence and concentration of ground state solutions when the parameter
is sufficiently large.
28
SOME REMARKS ON TOTAL CURVATURE OF A MINIMAL GRAPH
Ganczar, Andrzej ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 679~684
DOI : 10.4134/BKMS.2015.52.2.679
Abstract
In this paper we discuss bounds for the total curvature of nonparametric minimal surfaces by using the properties of planar harmonic mappings.
29
ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS
Huang, Jinghao ; Jung, Soon-Mo ; Li, Yongjin ;
Bulletin of the Korean Mathematical Society, volume 52, issue 2, 2015, Pages 685~697
DOI : 10.4134/BKMS.2015.52.2.685
Abstract
We investigate the stability of nonlinear differential equations of the form
with a Lipschitz condition by using a fixed point method. Moreover, a Hyers-Ulam constant of this differential equation is obtained.