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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 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
SKEW LAURENT POLYNOMIAL EXTENSIONS OF BAER AND P.P.-RINGS
Nasr-Isfahani, Alireza R. ; Moussavi, Ahmad ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1041~1050
DOI : 10.4134/BKMS.2009.46.6.1041
Abstract
Let R be a ring and
a monomorphism of R. We study the skew Laurent polynomial rings R[x, x
;
] over an
-skew Armendariz ring R. We show that, if R is an
-skew Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x
;
] is a Baer (resp. p.p.-) ring. Consequently, if R is an Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x
] is a Baer (resp. p.p.-)ring.
2
AN IDEAL-BASED ZERO-DIVISOR GRAPH OF 2-PRIMAL NEAR-RINGS
Dheena, Patchirajulu ; Elavarasan, Balasubramanian ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1051~1060
DOI : 10.4134/BKMS.2009.46.6.1051
Abstract
In this paper, we give topological properties of collection of prime ideals in 2-primal near-rings. We show that Spec(N), the spectrum of prime ideals, is a compact space, and Max(N), the maximal ideals of N, forms a compact
-subspace. We also study the zero-divisor graph
(R) with respect to the completely semiprime ideal I of N. We show that
(R), where
is a prime radical of N, is a connected graph with diameter less than or equal to 3. We characterize all cycles in the graph
(R).
3
ON SUMMATION THEOREMS FOR THE
_{3}
F
_{2}
(1) SERIES
Rao, K. Srinivasa ; Suresh, R. ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1061~1068
DOI : 10.4134/BKMS.2009.46.6.1061
Abstract
The intimate relation between the 3-j coefficient in Quantum Theory of Angular Momentum (QTAM) and the
hypergeometric series is exploited to derive new summation theorems, from formulas for the 3-j coefficient.
4
ON THE DECOMPOSITION OF EXTENDING LIFTING MODULES
Chang, Chae-Hoon ; Shin, Jong-Moon ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1069~1077
DOI : 10.4134/BKMS.2009.46.6.1069
Abstract
In 1984, Oshiro [11] has studied the decomposition of continuous lifting modules. He obtained the following: every continuous lifting module has an indecomposable decomposition. In this paper, we study extending lifting modules. We show that every extending lifting module has an indecomposable decomposition. This result is an expansion of Oshiro`s result mentioned above. And we consider some application of this result.
5
UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS OF A CERTAIN FORM
Xu, Junfeng ; Han, Qi ; Zhang, Jilong ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1079~1089
DOI : 10.4134/BKMS.2009.46.6.1079
Abstract
In this paper, we shall show that for any entire function f, the function of the form
- 1)f` has no non-zero finite Picard value for all positive integers m, n
possibly except for the special case m
6
EXTENSIONS OF GENERALIZED STABLE RINGS
Wanru, Zhang ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1091~1097
DOI : 10.4134/BKMS.2009.46.6.1091
Abstract
In this paper, we investigate the extensions of generalized stable rings. It is shown that a ring R is a generalized stable ring if and only if R has a complete orthogonal set {e
, . . . , e
} of idempotents such that e
Re
, . . . , e
Re
are generalized stable rings. Also, we prove that a ring R is a generalized stable ring if and only if R[[X]] is a generalized stable ring if and only if T(R,M) is a generalized stable ring.
7
RIGONOMETRY IN EXTENDED HYPERBOLIC SPACE AND EXTENDED DE SITTER SPACE
Cho, Yun-Hi ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1099~1133
DOI : 10.4134/BKMS.2009.46.6.1099
Abstract
We study the hyperbolic cosine and sine laws in the extended hyperbolic space which contains hyperbolic space as a subset and is an analytic continuation of the hyperbolic space. And we also study the spherical cosine and sine laws in the extended de Sitter space which contains de Sitter space S
as a subset and is also an analytic continuation of de Sitter space. In fact, the extended hyperbolic space and extended de Sitter space are the same space only differ by -1 multiple in the metric. Hence these two extended spaces clearly show and apparently explain that why many corresponding formulas in hyperbolic and spherical space are very similar each other. From these extended trigonometry laws, we can give a coherent and geometrically simple explanation for the various relations between the lengths and angles of hyperbolic polygons, and relations on de Sitter polygons which lie on S
, and tangent laws for various polyhedra.
8
PRODUCTS OF DIFFERENTIATION AND COMPOSITION ON BLOCH SPACES
Ohno, Shuichi ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1135~1140
DOI : 10.4134/BKMS.2009.46.6.1135
Abstract
We will consider the questions of when the products of composition and differentiation are bounded and compact on Bloch and little Bloch spaces.
9
ON THE GAUSS MAP OF SURFACES OF REVOLUTION WITHOUT PARABOLIC POINTS
Kim, Young-Ho ; Lee, Chul-Woo ; Yoon, Dae-Won ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1141~1149
DOI : 10.4134/BKMS.2009.46.6.1141
Abstract
In this article, we study surfaces of revolution without parabolic points in a Euclidean 3-space whose Gauss map G satisfies the condition ${\Delta}^hG\;
10
ON THE dTH POWER RESIDUE SYMBOL OF FUNCTION FIELDS
Hu, Su ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1151~1152
DOI : 10.4134/BKMS.2009.46.6.1151
Abstract
In this short notice, we prove a new result about the dth power residue symbol of function fields, by modifying the method of W. Kohnen in the paper published in Bull. Korean Math. Soc. 45 (2008), no. 2, 273-275.
11
ON SELF-RECIPROCAL POLYNOMIALS AT A POINT ON THE UNIT CIRCLE
Kim, Seon-Hong ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1153~1158
DOI : 10.4134/BKMS.2009.46.6.1153
Abstract
Given two integral self-reciprocal polynomials having the same modulus at a point
on the unit circle, we show that the minimal polynomial of
is also self-reciprocal and it divides an explicit integral self-reciprocal polynomial. Moreover, for any two integral self-reciprocal polynomials, we give a sufficient condition for the existence of a point
on the unit circle such that the two polynomials have the same modulus at
.
12
CRITICAL BLOW-UP AND EXTINCTION EXPONENTS FOR NON-NEWTON POLYTROPIC FILTRATION EQUATION WITH SOURCE
Zhou, Jun ; Mu, Chunlai ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1159~1173
DOI : 10.4134/BKMS.2009.46.6.1159
Abstract
This paper deals with the critical blow-up and extinction exponents for the non-Newton polytropic filtration equation. We reveals a fact that the equation admits two critical exponents
) with
. In other words, when q belongs to different intervals (0,
), the solution possesses complete different properties. More precisely speaking, as far as the blow-up exponent is concerned, the global existence case consists of the interval (0,
]. However, when q
), there exist both global solutions and blow-up solutions. As for the extinction exponent, the extinction case happens to the interval (
), while for q
), there exists a non-extinction bounded solution for any nonnegative initial datum. Moreover, when the critical case q
13
SENSITIVITY ANALYSIS FOR A SYSTEM OF GENERALIZED NONLINEAR MIXED QUASI-VARIATIONAL INCLUSIONS WITH (A, η)-ACCRETIVE MAPPINGS IN BANACH SPACES
Jeong, Jae-Ug ; Kim, Soo-Hwan ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1175~1188
DOI : 10.4134/BKMS.2009.46.6.1175
Abstract
In this paper, we study the behavior and sensitivity analysis of the solution set for a new system of parametric generalized nonlinear mixed quasi-variational inclusions with (A,
)-accretive mappings in quniformly smooth Banach spaces. The present results improve and extend many known results in the literature.
14
TWO MEROMORPHIC FUNCTIONS SHARING SETS CONCERNING SMALL FUNCTIONS
Cao, Ting-Bin ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1189~1200
DOI : 10.4134/BKMS.2009.46.6.1189
Abstract
The main purpose of this paper is to deal with the uniqueness of meromorphic functions sharing sets concerning small functions. We obtain two main theorems which improve and extend strongly some results due to R. Nevanlinna, Li-Qiao, Yao, Yi, Thai-Tan, and Cao-Yi.
15
APPLICATIONS OF GENERALIZED KUMMER`S SUMMATION THEOREM FOR THE SERIES
_{2}
F
_{1}
Kim, Yong-Sup ; Rathie, Arjun K. ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1201~1211
DOI : 10.4134/BKMS.2009.46.6.1201
Abstract
The aim of this research paper is to establish generalizations of classical Dixon`s theorem for the series
, a result due to Bailey involving product of generalized hypergeometric series and certain very interesting summations due to Ramanujan. The results are derived with the help of generalized Kummer`s summation theorem for the series
obtained earlier by Lavoie, Grondin, and Rathie.
16
ON THE STRUCTURE OF MINIMAL SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF NON-NEGATIVE CURVATURE
Yun, Gab-Jin ; Kim, Dong-Ho ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1213~1219
DOI : 10.4134/BKMS.2009.46.6.1213
Abstract
Let M
be a complete oriented non-compact minimally immersed submanifold in a complete Riemannian manifold N
of nonnegative curvature. We prove that if M is super-stable, then there are no non-trivial L
harmonic one forms on M. This is a generalization of the main result in [8].
17
ON VOLUMES OF PARALLEL 2n-HEDRON IN A LORENTZ VECTOR SPACE
Park, Seon-Gil ; Kim, Byung-Hak ; Choi, Jin-Hyuk ; Lee, Young-Ok ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1221~1228
DOI : 10.4134/BKMS.2009.46.6.1221
Abstract
In this paper we formulated the volume of parallel 2n-hedron spanned by timelike linearly independent vectors in the Lorentz vector space.
18
QUASI-INNER FUNCTIONS OF A GENERALIZED BEURLING`S THEOREM
Kim, Yun-Su ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1229~1236
DOI : 10.4134/BKMS.2009.46.6.1229
Abstract
We introduce two kinds of quasi-inner functions. Since every rationally invariant subspace for a shift operator S
on a vector-valued Hardy space H
(
, K) is generated by a quasi-inner function, we also provide relationships of quasi-inner functions by comparing rationally invariant subspaces generated by them. Furthermore, we discuss fundamental properties of quasi-inner functions and quasi-inner divisors.
19
ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES
Li, Chunji ; Ryoo, Cheon-Seoung ; Li, Ning ; Cao, Lili ;
Bulletin of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1237~1248
DOI : 10.4134/BKMS.2009.46.6.1237
Abstract
The domain of attraction of a nonlinear differential equations is the region of initial points of solution tending to the equilibrium points of the systems as the time going. Determining the domain of attraction is one of the most important problems to investigate nonlinear dynamical systems. In this article, we first present two algorithms to determine the domain of attraction by using the moment matrices. In addition, as an application we consider a class of SIRS infection model and discuss asymptotical stability by Lyapunov method, and also estimate the domain of attraction by using the algorithms.