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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 :
Volume & Issues
Volume 19, Issue 4 - Dec 2011
Volume 19, Issue 3 - Sep 2011
Volume 19, Issue 2 - Jun 2011
Volume 19, Issue 1 - Mar 2011
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1
A COOLEY-TUKEY MODIFIED ALGORITHM IN FAST FOURIER TRANSFORM
Kim, HwaJoon ; Lekcharoen, Somchai ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 243~253
DOI : 10.11568/kjm.2011.19.3.243
Abstract
We would like to propose a Cooley-Tukey modied algorithm in fast Fourier transform(FFT). Of course, this is a kind of Cooley-Tukey twiddle factor algorithm and we focused on the choice of integers. The proposed algorithm is better than existing ones in speeding up the calculation of the FFT.
2
SEMIGROUP RINGS AS H-DOMAINS
Chang, Gyu Whan ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 255~261
DOI : 10.11568/kjm.2011.19.3.255
Abstract
Let D be an integral domain, S be a torsion-free grading monoid such that the quotient group of S is of type (0, 0, 0,
), and D[S] be the semigroup ring of S over D. We show that D[S] is an H-domain if and only if D is an H-domain and each maximal t-ideal of S is a
-ideal. We also show that if
is the eld of real numbers and if
is the additive group of rational numbers, then
is not an H-domain.
3
GENERATING CERTAIN QUINTIC IRREDUCIBLE POLYNOMIALS OVER FINITE FIELDS
Ahn, Youngwoo ; Kim, Kitae ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 263~272
DOI : 10.11568/kjm.2011.19.3.263
Abstract
In the paper [1], an explicit correspondence between certain cubic irreducible polynomials over
and cubic irreducible polynomials of special type over
was established. In this paper, we show that we can mimic such a correspondence for quintic polynomials. Our transformations are rather constructive so that it can be used to generate irreducible polynomials in one of the finite fields, by using certain irreducible polynomials given in the other field.
4
A HOMOMORPHISM OF POINTED MINIMAL SETS AND ELLIS GROUPS
Song, H.S. ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 273~278
DOI : 10.11568/kjm.2011.19.3.273
Abstract
In this paper we give some results on homomorphisms of pointed minimal sets. In particular, we investigate some characterizations on Ellis groups.
5
STRONG CONVERGENCE OF PATHS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES
Kang, Shin Min ; Cho, Sun Young ; Kwun, Young Chel ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 279~289
DOI : 10.11568/kjm.2011.19.3.279
Abstract
Let E be a uniformly convex Banach space with a uniformly Gateaux differentiable norm, C be a nonempty closed convex subset of E and f :
be a fixed bounded continuous strong pseudocontraction with the coefficient
. Let
<
<
be a net of positive real numbers such that
and S = {
:
<
} be a nonexpansive semigroup on C such that
, where F(S) denotes the set of fixed points of the semigroup. Then sequence {
} defined by
converges strongly as
to
, which solves the following variational inequality
for all
.
6
CYCLES OF CHARACTERISTIC MATRICES OF CELLULAR AUTOMATA WITH PERIODIC BOUNDARY CONDITION
Kim, Jae-Gyeon ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 291~300
DOI : 10.11568/kjm.2011.19.3.291
Abstract
In this note, we will investigate some relations among powers of characteristic matrices of uniform cellular automata configured with rule 102 and periodic boundary condition.
7
ALTERNATE SIGNS (A
_{κ}
) PROPERTY IN BANACH SPACES
Cho, Kyugeun ; Lee, Chongsung ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 301~308
DOI : 10.11568/kjm.2011.19.3.301
Abstract
In this paper, we define the alternate forms of property (
) and study their implications.
8
OSCILLATION CRITERIA OF DIFFERENTIAL EQUATIONS OF SECOND ORDER
Kim, Rae Joong ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 309~319
DOI : 10.11568/kjm.2011.19.3.309
Abstract
We give sufficient conditions that the homogeneous differential equations : for
(> 0),
, are oscillatory where
, 0 <
,
. and
. We obtain comparison theorems.
9
ON FUZZY BI-IDEALS IN SEMIGROUPS
Chon, Inheung ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 321~330
DOI : 10.11568/kjm.2011.19.3.321
Abstract
We characterize the fuzzy bi-ideal generated by a fuzzy subset in a semigroup and the fuzzy bi-ideal generated by a fuzzy subset A such that
in a semigroup with an identity element. Our work generalizes the characterization of fuzzy bi-ideals by Mo and Wang ([8]).
10
AT LEAST TWO SOLUTIONS FOR THE ASYMMETRIC BEAM SYSTEM WITH CRITICAL GROWTH
Jung, Tacksun ; Choi, Q-Heung ;
Korean Journal of Mathematics, volume 19, issue 3, 2011, Pages 331~342
DOI : 10.11568/kjm.2011.19.3.331
Abstract
We consider the multiplicity of the solutions for a class of a system of critical growth beam equations with periodic condition on t and Dirichlet boundary condition
where
,
> 1 are real constants,
,
is the eigenfunction corresponding to the positive eigenvalue
of the eigenvalue problem
. We show that the system has a positive solution under suitable conditions on the matrix
, s > 0, t > 0, and next show that the system has another solution for the same conditions on A by the linking arguments.