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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 26, Issue 4 - Oct 2011
Volume 26, Issue 3 - Jul 2011
Volume 26, Issue 2 - Apr 2011
Volume 26, Issue 1 - Jan 2011
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1
BIPOLAR FUZZY a-IDEALS OF BCI-ALGEBRAS
Lee, Kyoung-Ja ; Jun, Young-Bae ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 531~542
DOI : 10.4134/CKMS.2011.26.4.531
Abstract
The notion of bipolar fuzzy a-ideals of BCI-algebras is introduced, and their properties are investigated. Relations between bipolar fuzzy subalgebras, bipolar fuzzy ideals and bipolar fuzzy a-ideals are discussed. Conditions for a bipolar fuzzy ideal to be a bipolar fuzzy a-ideal are provided. Characterizations of bipolar fuzzy a-ideals are given. Using a finite collection of a-ideals, a bipolar fuzzy a-ideal is established.
2
FREE ALGEBRAS OVER A POSET IN VARIETIES
Figallo, Aldo Jr ; Ziliani, Alicia ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 543~549
DOI : 10.4134/CKMS.2011.26.4.543
Abstract
In 1945, the notion of free lattice over a poset was introduced by R. Dilworth (Trans. Am. Math. Soc. 57 (1945), 123{154). In this note, a construction of the free algebra over a poset in varieties finitely generated is shown. Finally, this result is applied to different classes of algebras.
3
A SHORT PROOF OF AN IDENTITY FOR CUBIC PARTITION FUNCTION
Xiong, Xinhua ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 551~555
DOI : 10.4134/CKMS.2011.26.4.551
Abstract
In this note, we will give a short proof of an identity for cubic partition function.
4
QUASI-ARMENDARIZ PROPERTY FOR SKEW POLYNOMIAL RINGS
Baser, Muhittin ; Kwa, Tai Keun ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 557~573
DOI : 10.4134/CKMS.2011.26.4.557
Abstract
The concept of the quasi-Armendariz property of rings properly contains Armendariz rings and semiprime rings. In this paper, we extend the quasi-Armendariz property for a polynomial ring to the skew polynomial ring, hence we call such ring a
-quasi-Armendariz ring for a ring endomorphism
, and investigate its structures, several extensions and related properties. In particular, we study the semiprimeness and the quasi-Armendariz property between a ring R and the skew polynomial ring R[x;
$] of R, and so these provide us with an opportunity to study quasi-Armendariz rings and semiprime rings in a general setting, and several known results follow as consequences of our results.
5
ON THE CONVERGENCE OF A NEWTON-LIKE METHOD UNDER WEAK CONDITIONS
Argyros, Ioannis K. ; Ren, Hongmin ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 575~584
DOI : 10.4134/CKMS.2011.26.4.575
Abstract
We provide a semilocal convergence analysis for a Newtonlike method under weak conditions in a Banach space setting. In particular, we only assume that the Gateaux derivative of the operator involved is hemicontinuous. An application is also provided.
6
JORDAN (φψ)-DERIVATIONS IN JB*-TRIPLE
Moslehian, Mohammad Sal ; Najati, Abbas ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 585~589
DOI : 10.4134/CKMS.2011.26.4.585
Abstract
Using algebraic methods, we prove that every Jordan (
derivation is a (
derivation under certain conditions. In particular, we conclude that every Jordan
-derivation is a
-derivatio.
7
THE p-LAPLACIAN OPERATORS WITH POTENTIAL TERMS
Chung, Soon-Yeong ; Lee, Hee-Soo ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 591~601
DOI : 10.4134/CKMS.2011.26.4.591
Abstract
In this paper, we deal with the discrete p-Laplacian operators with a potential term having the smallest nonnegative eigenvalue. Such operators are classified as its smallest eigenvalue is positive or zero. We discuss differences between them such as an existence of solutions of p-Laplacian equations on networks and properties of the energy functional. Also, we give some examples of Poisson equations which suggest a difference between linear types and nonlinear types. Finally, we study characteristics of the set of a potential those involving operator has the smallest positive eigenvalue.
8
AN IDENTIFICATION OF THE FREQUENCIES AND AMPLITUDES OF THE TRIGONOMETRIC SERIES
Chung, Ji-Chan ; Kang, Min-Soo ; Kim, Soo-Han ; Ko, Il-Seog ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 603~610
DOI : 10.4134/CKMS.2011.26.4.603
Abstract
In this paper, we propose an algorithm for identifying
and N of the following trigonometric series
by means of the finite number of sample values. We prove that the frequency components are shown to be the solutions of some characteristic equation related to the inverse of a Hankel matrix derived from the sample values.
9
BILINEAR AND BILATERAL GENERATING FUNCTIONS OF HEAT TYPE POLYNOMIALS SUGGESTED BY JACOBI POLYNOMIALS
Khan, Mumtaz Ahmad ; Khan, Abdul Hakim ; Singh, Manoj ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 611~622
DOI : 10.4134/CKMS.2011.26.4.611
Abstract
The present paper deals with generalization of several families of bilinear and bilateral generating functions for the heat type polynomials suggested by Jacobi polynomials with different argument.
10
ON A CLASS OF N(κ)-QUASI EINSTEIN MANIFOLDS
De, Avik ; De, Uday Chand ; Gazi, Abul Kalam ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 623~634
DOI : 10.4134/CKMS.2011.26.4.623
Abstract
The object of the present paper is to study N(
)-quasi Einstein manifolds. Existence of N(
)-quasi Einstein manifolds are proved. Physical example of N(
)-quasi Einstein manifold is also given. Finally, Weyl-semisymmetric N(
)-quasi Einstein manifolds have been considered.
11
REAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD
Jin, Dae-Ho ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 635~647
DOI : 10.4134/CKMS.2011.26.4.635
Abstract
In this paper, we study the geometry of real half lightlike submanifolds of an indefinite Kaehler manifold
. We provide several new results on such a real half lightlike submanifold M by using the F-structure of M induced by the almost complex structure J of
.
12
CONTINUITY OF THE ORBITAL AND LIMIT SET MAPS IN GENERAL DYNAMICAL SYSTEMS
Lee, Kyung-Bok ; Park, Jong-Suh ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 649~660
DOI : 10.4134/CKMS.2011.26.4.649
Abstract
S. M. Saperstone and M. Nishihama [6] had showed both continuity and stability of the orbital and limit set maps, K(x) and L(x), where K and L are considered as maps from X to
. The main purpose of this paper is to extend continuity and stability for dynamical systems to general dynamical systems.
13
FUZZY STRONGLY (r, s)-PREOPEN AND PRECLOSED MAPPINGS
Lee, Seok-Jong ; Kim, Jin-Tae ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 661~667
DOI : 10.4134/CKMS.2011.26.4.661
Abstract
In this paper, we introduce the notions of fuzzy strongly (r, s)-preopen and preclosed mappings on intuitionistic fuzzy topological spaces in
ostak's sense. The relationships among fuzzy (r, s)-open, fuzzy strongly (r, s)-semiopen, fuzzy (r, s)-preopen, and fuzzy strongly (r, s)-preopen mappings are discussed. The characterizations for the fuzzy strongly (r, s)-preopen and preclosed mappings are obtained.
14
THE LAW OF A STOCHASTIC INTEGRAL WITH TWO INDEPENDENT BIFRACTIONAL BROWNIAN MOTIONS
Liu, Junfeng ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 669~684
DOI : 10.4134/CKMS.2011.26.4.669
Abstract
In this note, we obtain the expression of the characteristic fucntion of the random variable
, where
and
are two independent bifractional Brownian motions with indices
and
respectively.
15
GENERAL FRAMEWORK FOR PROXIMAL POINT ALGORITHMS ON (A, η)-MAXIMAL MONOTONICIT FOR NONLINEAR VARIATIONAL INCLUSIONS
Verma, Ram U. ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 685~693
DOI : 10.4134/CKMS.2011.26.4.685
Abstract
General framework for proximal point algorithms based on the notion of (A,
)-maximal monotonicity (also referred to as (A,
)-monotonicity in literature) is developed. Linear convergence analysis for this class of algorithms to the context of solving a general class of nonlinear variational inclusion problems is successfully achieved along with some results on the generalized resolvent corresponding to (A,
)-monotonicity. The obtained results generalize and unify a wide range of investigations readily available in literature.
16
A GENERAL MULTIPLE-TIME-SCALE METHOD FOR SOLVING AN n-TH ORDER WEAKLY NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING
Azad, M. Abul Kalam ; Alam, M. Shamsul ; Rahman, M. Saifur ; Sarker, Bimolendu Shekhar ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 695~708
DOI : 10.4134/CKMS.2011.26.4.695
Abstract
Based on the multiple-time-scale (MTS) method, a general formula has been presented for solving an n-th, n = 2, 3,
, order ordinary differential equation with strong linear damping forces. Like the solution of the unified Krylov-Bogoliubov-Mitropolskii (KBM) method or the general Struble's method, the new solution covers the un-damped, under-damped and over-damped cases. The solutions are identical to those obtained by the unified KBM method and the general Struble's method. The technique is a new form of the classical MTS method. The formulation as well as the determination of the solution from the derived formula is very simple. The method is illustrated by several examples. The general MTS solution reduces to its classical form when the real parts of eigen-values of the unperturbed equation vanish.
17
NUMERICAL SOLUTION OF STOCHASTIC DIFFERENTIAL EQUATION CORRESPONDING TO CONTINUOUS DISTRIBUTIONS
Amini, Mohammad ; Soheili, Ali Reza ; Allahdadi, Mahdi ;
Communications of the Korean Mathematical Society, volume 26, issue 4, 2011, Pages 709~720
DOI : 10.4134/CKMS.2011.26.4.709
Abstract
We obtain special type of differential equations which their solution are random variable with known continuous density function. Stochastic differential equations (SDE) of continuous distributions are determined by the Fokker-Planck theorem. We approximate solution of differential equation with numerical methods such as: the Euler-Maruyama and ten stages explicit Runge-Kutta method, and analysis error prediction statistically. Numerical results, show the performance of the Rung-Kutta method with respect to the Euler-Maruyama. The exponential two parameters, exponential, normal, uniform, beta, gamma and Parreto distributions are considered in this paper.