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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
2288-6176
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Volume & Issues
Volume 34, Issue 4 - Dec 2012
Volume 34, Issue 3 - Sep 2012
Volume 34, Issue 2 - Jun 2012
Volume 34, Issue 1 - Mar 2012
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1
FALLING SHADOWS APPLIED TO SUBALGEBRAS AND IDEALS OF BCK/BCI-ALGEBRAS
Jun, Young-Bae ; Park, Chul-Hwan ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 135~144
DOI : 10.5831/HMJ.2012.34.2.135
Abstract
falling subalgebra/ideal of a BCK/BCI-algebra is introduced. Relations between falling subalgebras and falling ideals are given. Relations between fuzzy subalgebras/ideals and falling sub-algebras/ideals are provided. A characterization of a falling ideal is established.
2
SEVERAL TYPES OF BIPOLAR FUZZY HYPER BCK-IDEALS IN HYPER BCK-ALGEBRAS
Jun, Young-Bae ; Kang, Min-Su ; Song, Seok-Zun ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 145~159
DOI : 10.5831/HMJ.2012.34.2.145
Abstract
Several types of a bipolar fuzzy hyper BCK-ideal in a hyper BCK-algebra are introduced, and their relations are investigated.
3
MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS
Abbasi, A. ; Roshan Shekalgourabi, H. ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 161~169
DOI : 10.5831/HMJ.2012.34.2.161
Abstract
Let R be a commutative Noetherian ring and I, J be ideals of R. We introduced the notion of (I; J)-cominimax R-modules. For an integer
and an R-module M, let
be an (I; J)-cominimax R-module for all
<
. The J-minimaxness of some Ext modules of
is investigated. Among of the obtaining results, there is a generalization of the main result of [1].
4
IMPLICATIVE VAGUE IDEALS IN BCK-ALGEBRAS
Ahn, Sun-Shin ; Ko, Jung-Mi ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 171~181
DOI : 10.5831/HMJ.2012.34.2.171
Abstract
The notion of implicative vague ideals of BCK-algebras is defined, and several properties of it are investigated. Relations between a vague ideal and an implicative vague ideal is discussed. Characterizations of an implicative vague ideal are considered.
5
A NOTE ON THE q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT (α,ω)
Rim, Seog-Hoon ; Jeong, Joo-Hee ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 183~190
DOI : 10.5831/HMJ.2012.34.2.183
Abstract
The main purpose of this paper is to introduce a new type of
-Euler numbers and polynomials with weak weight (
,
):
and
, respectively. By using the fermionic
-adic
-integral on
, we can obtain some results and derive some recurrence identities for the
-Euler numbers and polynomials with weak weight (
,
).
6
THE SECOND DERIVATIVE OF THE ENERGY FUNCTIONAL
Kim, Hwa-Jeong ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 191~198
DOI : 10.5831/HMJ.2012.34.2.191
Abstract
Minimal surfaces with given boundaries are the solutions of Plateau's problem. In studying the calculus of variations for the minimal surfaces, the functional
, corresponding to the energy of surfaces, is introduced in [Ki09]. In this paper we derive a formula for the second derivative of
, which is necessary for further theories of the calculus of variations.
7
ON SPACES WHICH HAVE COUNTABLE TIGHTNESS AND RELATED SPACES
Hong, Woo-Chorl ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 199~208
DOI : 10.5831/HMJ.2012.34.2.199
Abstract
In this paper, we study some properties of spaces having countable tightness and spaces having weakly countable tightness. We obtain some necessary and sufficient conditions for a space to have countable tightness. And we introduce a new concept of weakly countable tightness which is a generalization of countable tightness and show some properties of spaces having weakly countable tightness.
8
THE CONVERGENCE RATES IN THE ASYMMETRIC LAWS OF LARGE NUMBER FOR NEGATIVELY ASSOCIATED RANDOM FIELDS
Ko, Mi-Hwa ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 209~217
DOI : 10.5831/HMJ.2012.34.2.209
Abstract
Convergence rates in the law of large numbers for i.i.d. random variables have been generalized by Gut[Gut, A., 1978. Marc inkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices, Ann. Probab. 6, 469-482] to random fields with all indices having the same power in the normalization. In this paper we generalize these convergence rates to the identically distributed and negatively associated random fields with different indices having different power in the normalization.
9
THE CORRELATION DIMENSION OF GENERALIZED CANTOR-LIKE SETS
Lee, Mi-Ryeong ; Baek, Hun-Ki ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 219~230
DOI : 10.5831/HMJ.2012.34.2.219
Abstract
In the paper, a symbolic construction is considered to define generalized Cantor-like sets. Lower and upper bounds for the correlation dimension of the sets with a regular condition are obtained with respect to a probability Borel measure. Especially, for some special cases of the sets, the exact formulas of the correlation dimension are established and we show that the correlation dimension and the Hausdorff dimension of some of them are the same. Finally, we find a condition which guarantees the positive correlation dimension of the generalized Cantor-like sets.
10
RICCI AND SCALAR CURVATURES ON SU(3)
Kim, Hyun-Woong ; Pyo, Yong-Soo ; Shin, Hyun-Ju ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 231~239
DOI : 10.5831/HMJ.2012.34.2.231
Abstract
In this paper, we obtain the Ricci curvature and the scalar curvature on SU(3) with some left invariant Riemannian metric. And then we get a necessary and sufficient condition for the scalar curvature (resp. the Ricci curvature) on the Riemannian manifold SU(3) to be positive.
11
ON ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF LNQD RANDOM VARIABLES
Choi, Jeong-Yeol ; Kim, So-Youn ; Baek, Jong-Il ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 241~252
DOI : 10.5831/HMJ.2012.34.2.241
Abstract
Let
be a sequence of LNQD which are dominated randomly by another random variable X. We obtain the complete convergence and almost sure convergence of weighted sums
for LNQD by using a new exponential inequality, where
is an array of constants. As corollary, the results of some authors are extended from i.i.d. case to not necessarily identically LNQD case.
12
FGK INEQUALITY ON THE ANALOGUE OF WIENER SPACE
Ryu, Kun-Sik ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 253~261
DOI : 10.5831/HMJ.2012.34.2.253
Abstract
This work aims at proving the FKG inequalities for the analogue of Wiener functionals with special orders on the analogue of Wiener space.
13
COMPLICATED BCC-ALGEBRAS AND ITS DERIVATION
So, Keum-Sook ; Ahn, Sun-Shin ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 263~271
DOI : 10.5831/HMJ.2012.34.2.263
Abstract
Any BCK-ideal of a BCC-algebra can be decomposed into the union of some sets. The notion of a complicatedness and a derivation for a BCC-algebra is introduced and some related properties are obtained.
14
A NOTE ON FOCAL POINT COMPARISON IN RIEMANNIAN GEOMETRY
Kim, Jong-Ryul ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 273~278
DOI : 10.5831/HMJ.2012.34.2.273
Abstract
Using a comparison of the Jacobi differential equations instead of volume comparison by Itokawa in [3], the focal radius is estimated under the suitable Ricci and mean curvature conditions.
15
A CLASS OF GRADE THREE DETERMINANTAL IDEALS
Kang, Oh-Jin ; Kim, Joo-Hyung ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 279~287
DOI : 10.5831/HMJ.2012.34.2.279
Abstract
Let
be a field containing the field
of rational numbers and let
be the polynomial ring over a field
with indeterminates
. Let
be the determinantal ideal generated by the
-minors of an
matrix
. Eagon and Hochster proved that
is a perfect ideal of grade
. We give a structure theorem for a class of determinantal ideals of grade 3. This gives us a characterization that
has grade 3 if and only if
and
has the minimal free resolution
such that the second dierential map of
is a matrix defined by complete matrices of grade
.
16
A NOTE ON AXIOMATIC FEYNMAN OPERATIONAL CALCULUS
Park, Yeon-Hee ;
Honam Mathematical Journal, volume 34, issue 2, 2012, Pages 289~295
DOI : 10.5831/HMJ.2012.34.2.289
Abstract
In this note we prove the space (A,
) is a Banach space and
for
where
<
,
. Also we show some property in (A,
).