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Korean Journal of Mathematics
Journal Basic Information
pISSN :
1976-8605
eISSN :
2288-1433
Journal DOI :
10.11568/kjm
Frequency :
Others
Publisher:
The Kangwon-Kyungki Mathematical Society
Editor in Chief :
Gi-Sang Cheon
Volume & Issues
Volume 21, Issue 4 - Dec 2013
Volume 21, Issue 3 - Sep 2013
Volume 21, Issue 2 - Jun 2013
Volume 21, Issue 1 - Mar 2013
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1
ORTHOGONALLY ADDITIVE AND ORTHOGONALLY QUADRATIC FUNCTIONAL EQUATION
Lee, Jung Rye ; Lee, Sung Jin ; Park, Choonkil ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 1~21
DOI : 10.11568/kjm.2013.21.1.1
Abstract
Using the fixed point method, we prove the Ulam-Hyers stability of the orthogonally additive and orthogonally quadratic functional equation $$f(\frac{x}{2}+y)+f(\frac{x}{2}-y)+f(\frac{x}{2}+z)+f(\frac{x}{2}-z)
2
FINITE LOCAL RINGS OF ORDER ≤ 16 WITH NONZERO JACOBSON RADICAL
Nam, Sang Bok ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 23~28
DOI : 10.11568/kjm.2013.21.1.23
Abstract
The structures of finite local rings of order
16 with nonzero Jacobson radical are investigated. The whole shape of non-commutative local rings of minimal order is completely determined up to isomorphism.
3
A PROOF ON POWER-ARMENDARIZ RINGS
Kim, Dong Hwa ; Ryu, Sung Ju ; Seo, Yeonsook ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 29~34
DOI : 10.11568/kjm.2013.21.1.29
Abstract
Power-Armendariz is a unifying concept of Armendariz and commutative. Let R be a ring and I be a proper ideal of R such that R/I is a power-Armendariz ring. Han et al. proved that if I is a reduced ring without identity then R is power-Armendariz. We find another direct proof of this result to see the concrete forms of various kinds of subsets appearing in the process.
4
CONTINUITY OF THE SPECTRUM ON (classA)
^{*}
Lee, Jae Won ; Jeon, In Ho ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 35~39
DOI : 10.11568/kjm.2013.21.1.35
Abstract
Let
denotes the class of operators satisfying
. In this paper, we show that the spectrum is continuous on
.
5
ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS
Kwak, Tai Keun ; Lee, Yang ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 41~53
DOI : 10.11568/kjm.2013.21.1.41
Abstract
Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, introducing the notion of nil-Armendariz rings. Hizem extended the nil-Armendariz property for polynomial rings onto power-series rings, say nil power-serieswise rings. In this paper, we introduce the notion of power-serieswise CN rings that is a generalization of nil power-serieswise Armendariz rings. Finally, we study the nil-Armendariz property for Ore extensions and skew power series rings.
6
THE PRIMITIVE BASES OF THE SIGNED CYCLIC GRAPHS
Kim, Byeong Moon ; Song, Byung Chul ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 55~62
DOI : 10.11568/kjm.2013.21.1.55
Abstract
The base
of a signed digraph S is the maximum number
such that for any vertices
,
of S, there is a pair of walks of length
from
to
with different signs. A graph can be regarded as a digraph if we consider its edges as two-sided arcs. A signed cyclic graph
is a signed digraph obtained from the cycle
by giving signs to all arcs. In this paper, we compute the base of a signed cyclic graph
when
is neither symmetric nor antisymmetric. Combining with previous results, the base of all signed cyclic graphs are obtained.
7
SOME PROPERTIES OF EXTENDED ORDER ALGEBRAS
Kim, Yong Chan ; Ko, Jung Mi ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 63~73
DOI : 10.11568/kjm.2013.21.1.63
Abstract
We study the properties of extended order algebras. In particular, we investigate the properties of adjoint, Galois pair in commutative extended-order algebras.
8
CONTINUITY OF THE SPECTRUM ON A CLASS A(κ)
Jeon, In Ho ; Kim, In Hyoun ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 75~80
DOI : 10.11568/kjm.2013.21.1.75
Abstract
Let T be a bounded linear operator on a complex Hilbert space
. An operator T is called class A operator if
and is called class
operator if
for a positive number
. In this paper, we show that
is continuous when restricted to the set of class
operators.
9
BOUNDED WEAK SOLUTION FOR THE HAMILTONIAN SYSTEM
Choi, Q-Heung ; Jung, Tacksun ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 81~90
DOI : 10.11568/kjm.2013.21.1.81
Abstract
We investigate the bounded weak solutions for the Hamiltonian system with bounded nonlinearity decaying at the origin and periodic condition. We get a theorem which shows the existence of the bounded weak periodic solution for this system. We obtain this result by using variational method, critical point theory for indefinite functional.
10
ON THE FIELD EQUATIONS IN g - ESX
_{n}
Hwang, In Ho ;
Korean Journal of Mathematics, volume 21, issue 1, 2013, Pages 91~100
DOI : 10.11568/kjm.2013.21.1.91
Abstract
This paper is a direct continuation of [1] and [2]. In this paper we investigate some properties of ES-curvature tensor and contracted ES-curvature tensor of g -
. Also, we study the field equations in the n-dimensional ES manifold g -
.