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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 :
Seoung Dal Jung
Volume & Issues
Volume 31, Issue 4 - Oct 2016
Volume 31, Issue 3 - Jul 2016
Volume 31, Issue 2 - Apr 2016
Volume 31, Issue 1 - Jan 2016
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1
ON SYMMETRIC BI-DERIVATIONS OF B-ALGEBRAS
Kayis, Sibel Altunbicak ; Ozbal, Sule Ayar ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 209~216
DOI : 10.4134/CKMS.2016.31.2.209
Abstract
In this paper, we introduce the notion of symmetric bi-derivations of a B-algebra and investigate some related properties. We study the notion of symmetric bi-derivations of a 0-commutative B-algebra and state some related properties.
2
REGULARITY OF TRANSFORMATION SEMIGROUPS DEFINED BY A PARTITION
Purisang, Pattama ; Rakbud, Jittisak ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 217~227
DOI : 10.4134/CKMS.2016.31.2.217
Abstract
Let X be a nonempty set, and let $\mathfrak{F}
3
REGULARITY OF GENERALIZED DERIVATIONS IN BCI-ALGEBRAS
Muhiuddin, G. ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 229~235
DOI : 10.4134/CKMS.2016.31.2.229
Abstract
In this paper we study the regularity of inside (or outside) (
)-derivations in BCI-algebras X and prove that let
be an inside (
)-derivation of X. If there exists a
such that $d_{({\theta},{\phi})}(x){\ast}{\theta}(a)
4
ON 𝜙-SHARP RINGS
Darani, Ahmad Yousefian ; Rahmatinia, Mahdi ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 237~246
DOI : 10.4134/CKMS.2016.31.2.237
Abstract
The purpose of this paper is to introduce some new class of rings that are closely related to the classes of sharp domains, pseudo-Dededkind domains, TV domains and finite character domains. A ring R is called a
-sharp ring if whenever for nonnil ideals I, A, B of R with
, then I
5
JORDAN HIGHER DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS
Vishki, Hamid Reza Ebrahimi ; Mirzavaziri, Madjid ; Moafian, Fahimeh ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 247~259
DOI : 10.4134/CKMS.2016.31.2.247
Abstract
We first give the constructions of (Jordan) higher derivations on a trivial extension algebra and then we provide some sufficient conditions under which a Jordan higher derivation on a trivial extension algebra is a higher derivation. We then proceed to the trivial generalized matrix algebras as a special trivial extension algebra. As an application we characterize the construction of Jordan higher derivations on a triangular algebra. We also provide some illuminating examples of Jordan higher derivations on certain trivial extension algebras which are not higher derivations.
6
FINITE BCK-ALGEBRAS ARE SOLVABLE
Dudek, Wieslaw A. ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 261~262
DOI : 10.4134/CKMS.2016.31.2.261
Abstract
We present a short and very elementary proof that each finite BCK-algebra is solvable. It is a positive answer to the question posed in [4].
7
QUANTUM GRAPH OF SIERPINSKI GASKET TYPE IN ELECTRIC FIELD
Blinova, Irina V. ; Popov, Igor Y. ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 263~275
DOI : 10.4134/CKMS.2016.31.2.263
Abstract
Quantum graph of Sierpinski gasket type with attached leads in an electric eld is considered. We study the dependence of the transmission coecient via the wave number of the quantum particle. It has strongly resonance character. The in uence of the amplitude and the orientation of the electric eld on the coecient is investigated.
8
CERTAIN SEQUENCE SPACES AND RELATED DUALS WITH RESPECT TO THE b-METRIC
Kadak, Ugur ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 277~294
DOI : 10.4134/CKMS.2016.31.2.277
Abstract
The aim of this paper is to present the classical sets of sequences and related matrix transformations with respect to the b-metric. Also, we introduce the relationships between these sets and their classical forms with corresponding properties including convergence and completeness. Further we determine the duals of the new spaces and characterize matrix transformations on them into the sets of b-bounded, b-convergent and b-null sequences.
9
SOME RESULTS ON THE QUESTIONS OF KIT-WING YU
Majumder, Sujoy ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 295~309
DOI : 10.4134/CKMS.2016.31.2.295
Abstract
The paper deals with the problem of meromorphic functions sharing a small function with its differential polynomials and improves the results of Liu and Gu [9], Lahiri and Sarkar [8], Zhang [13] and Zhang and Yang [14] and also answer some open questions posed by Kit-Wing Yu [16]. In this paper we provide some examples to show that the conditions in our results are the best possible.
10
ON THE GENERALIZATIONS OF BRÜCK CONJECTURE
Banerjee, Abhijit ; Chakraborty, Bikash ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 311~327
DOI : 10.4134/CKMS.2016.31.2.311
Abstract
We obtain similar types of conclusions as that of
[1] for two differential polynomials which in turn radically improve and generalize several existing results. Moreover a number of examples have been exhibited to justify the necessity or sharpness of some conditions used in the paper. At last we pose an open problem for future research.
11
NEW CLASS OF INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION AND THE LOGARITHMIC FUNCTION
Kim, Yongsup ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 329~342
DOI : 10.4134/CKMS.2016.31.2.329
Abstract
Motivated essentially by Brychkov`s work [1], we evaluate some new integrals involving hypergeometric function and the logarithmic function (including those obtained by Brychkov[1], Choi and Rathie [3]), which are expressed explicitly in terms of Gamma, Psi and Hurwitz zeta functions suitable for numerical computations.
12
CERTAIN INTEGRALS INVOLVING
_{2}
F
_{1}
, KAMPÉDE FÉRIET FUNCTION AND SRIVASTAVA POLYNOMIALS
Agarwal, Praveen ; Chand, Mehar ; Choi, Junesang ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 343~353
DOI : 10.4134/CKMS.2016.31.2.343
Abstract
A remarkably large number of integrals whose integrands are associated, in particular, with a variety of special functions, for example, the hypergeometric and generalized hypergeometric functions have been recorded. Here we aim at presenting certain (presumably) new and (potentially) useful integral formulas whose integrands are involved in a product of
, Srivastava polynomials, and
de
functions. The main results are derived with the help of some known definite integrals obtained earlier by Qureshi et al. [4]. Some interesting special cases of our main results are also considered.
13
SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
Guo, Bai-Ni ; Qi, Feng ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 355~363
DOI : 10.4134/CKMS.2016.31.2.355
Abstract
By employing a refined version of the
type integral inequality and other techniques, the authors establish some inequalities and absolute monotonicity for modified Bessel functions of the first kind with nonnegative integer order.
14
STATICAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE
Jin, Dae Ho ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 365~377
DOI : 10.4134/CKMS.2016.31.2.365
Abstract
In this paper, we study half lightlike submanifolds M of an indefinite Kaehler manifold
of quasi-constant curvature such that the characteristic vector field
of
is tangent to M. First, we provide a new result for such a half lightlike submanifold. Next, we investigate a statical half lightlike submanifold M of
subject such that (1) the screen distribution S(TM) is totally umbilical or (2) M is screen conformal.
15
CHARACTERIZATIONS OF SPACE CURVES WITH 1-TYPE DARBOUX INSTANTANEOUS ROTATION VECTOR
Arslan, Kadri ; Kocayigit, Huseyin ; Onder, Mehmet ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 379~388
DOI : 10.4134/CKMS.2016.31.2.379
Abstract
In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space
. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector.
16
THE LOCAL STAR CONDITION FOR GENERIC TRANSITIVE DIFFEOMORPHISMS
Lee, Manseob ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 389~394
DOI : 10.4134/CKMS.2016.31.2.389
Abstract
Let
be a diffeomorphism on a closed
dimensional manifold M. For
-generic f, if a diffeomorphism f satisfies the local star condition on a transitive set, then it is hyperbolic.
17
CONSTRUCTION OF A SYMMETRIC SUBDIVISION SCHEME REPRODUCING POLYNOMIALS
Ko, Kwan Pyo ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 395~414
DOI : 10.4134/CKMS.2016.31.2.395
Abstract
In this work, we study on subdivision schemes reproducing polynomials and build a symmetric subdivision scheme reproducing polynomials of a certain predetermined degree, which is a slight variant of the family of Deslauries-Dubic interpolatory ones. Related to polynomial reproduction, a necessary and sufficient condition for a subdivision scheme to reproduce polynomials of degree L was recently established under the assumption of non-singularity of subdivision schemes. In case of stepwise polynomial reproduction, we give a characterization for a subdivision scheme to reproduce stepwise all polynomials of degree
without the assumption of non-singularity. This characterization shows that we can investigate the polynomial reproduction property only by checking the odd and even masks of the subdivision scheme. The minimal-support condition being relaxed, we present explicitly a general formula for the mask of (2n + 4)-point symmetric subdivision scheme with two parameters that reproduces all polynomials of degree
. The uniqueness of such a symmetric subdivision scheme is proved, provided the two parameters are given arbitrarily. By varying the values of the parameters, this scheme is shown to become various other well known subdivision schemes, ranging from interpolatory to approximating.
18
THE PRICING OF QUANTO OPTIONS UNDER THE VASICEK`S SHORT RATE MODEL
Lee, Jaesung ; Lee, Youngrok ;
Communications of the Korean Mathematical Society, volume 31, issue 2, 2016, Pages 415~422
DOI : 10.4134/CKMS.2016.31.2.415
Abstract
We derive a closed-form expression for the price of a European quanto call option when both foreign and domestic interest rates follow the Vasicek`s short rate model.