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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 28, Issue 4 - Oct 2013
Volume 28, Issue 3 - Jul 2013
Volume 28, Issue 2 - Apr 2013
Volume 28, Issue 1 - Jan 2013
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1
COMMUTING AUTOMORPHISM OF p-GROUPS WITH CYCLIC MAXIMAL SUBGROUPS
Vosooghpour, Fatemeh ; Kargarian, Zeinab ; Akhavan-Malayeri, Mehri ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 643~647
DOI : 10.4134/CKMS.2013.28.4.643
Abstract
Let G be a group and let
be a prime number. If the set
of all commuting automorphisms of G forms a subgroup of Aut(G), then G is called
-group. In this paper we show that any
-group with cyclic maximal subgroup is an
-group. We also find the structure of the group
and we show that
. Moreover, we prove that for any prime
and all integers
, there exists a non-abelian
-group of order
in which
. If
> 2, then
and if
, then
or
.
2
AN EXPLICIT FORMULA FOR THE NUMBER OF SUBGROUPS OF A FINITE ABELIAN p-GROUP UP TO RANK 3
Oh, Ju-Mok ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 649~667
DOI : 10.4134/CKMS.2013.28.4.649
Abstract
In this paper we give an explicit formula for the total number of subgroups of a finite abelian
-group up to rank three.
3
TOPOLOGICAL CONDITIONS OF NI NEAR-RINGS
Dheena, P. ; Jenila, C. ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 669~677
DOI : 10.4134/CKMS.2013.28.4.669
Abstract
In this paper we introduce the notion of NI near-rings similar to the notion introduced in rings. We give topological properties of collection of strongly prime ideals in NI near-rings. We have shown that if N is a NI and weakly pm near-ring, then
is a compact Hausdorff space. We have also shown that if N is a NI near-ring, then for every
,
.
4
A NEW TYPE OF HYPER K-SUBALGEBRAS
Jun, Young Bae ; Lee, Kyoung Ja ; Kang, Min Su ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 679~695
DOI : 10.4134/CKMS.2013.28.4.679
Abstract
In this paper, the concept of (
)-fuzzy hyper K-subalgebras and fuzzy hyper K-subalgebras with thresholds are introduced, and related properties and characterizations are discussed.
5
ON PERMUTING n-DERIVATIONS IN NEAR-RINGS
Ashraf, Mohammad ; Siddeeque, Mohammad Aslam ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 697~707
DOI : 10.4134/CKMS.2013.28.4.697
Abstract
In this paper, we introduce the notion of permuting
-derivations in near-ring N and investigate commutativity of addition and multiplication of N. Further, under certain constrants on a
-torsion free prime near-ring N, it is shown that a permuting
-additive mapping D on N is zero if the trace
of D is zero. Finally, some more related results are also obtained.
6
COUPLED N-STRUCTURES APPLIED TO IDEALS IN d-ALGEBRAS
Ahn, Sun Shin ; Ko, Jung Mi ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 709~721
DOI : 10.4134/CKMS.2013.28.4.709
Abstract
The notions of coupled N-subalgebra, coupled (positive implicative) N-ideals of
-algebras are introduced, and related properties are investigated. Characterizations of a coupled
-subalgebra and a coupled (positive implicative)
-ideals of
-algebras are given. Relations among a coupled
-subalgebra, a coupled
-ideal and a coupled positive implicative
-ideal of
-algebras are discussed.
7
BACHET EQUATIONS AND CUBIC RESOLVENTS
Woo, Sung Sik ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 723~733
DOI : 10.4134/CKMS.2013.28.4.723
Abstract
A Bachet equation
will have a rational solution if and only if there is
for which
is reducible. In this paper we show that such cubics arise as a cubic resolvent of a biquadratic polynomial. And we prove various properties of cubic resolvents.
8
REAL QUADRATIC FUNCTION FIELDS OF MINIMAL TYPE
Byeon, Dongho ; Keem, Jiae ; Lee, Sangyoon ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 735~740
DOI : 10.4134/CKMS.2013.28.4.735
Abstract
In this paper, we will introduce the notion of the real quadratic function fields of minimal type, which is a function field analogue to Kawamoto and Tomita's notion of real quadratic fields of minimal type. As number field cases, we will show that there are exactly 6 real quadratic function fields of class number one that are not of minimal type.
9
ON QUASI-A(n, κ) CLASS OPERATORS
Lee, Mi Ryeong ; Yun, Hye Yeong ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 741~750
DOI : 10.4134/CKMS.2013.28.4.741
Abstract
To study the operator inequalities, the notions of class A operators and quasi-class A operators are developed up to recently. In this paper, quasi-
class operator for
and
is introduced as a new notion, which generalizes the quasi-class A operator. We obtain some structural properties of these operators. Also we characterize quasi-
classes for n and
via backward extension of weighted shift operators. Finally, we give a simple example of quasi-
operators with two variables.
10
LONG-TIME BEHAVIOR FOR SEMILINEAR DEGENERATE PARABOLIC EQUATIONS ON ℝ
^{N}
Cung, The Anh ; Le, Thi Thuy ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 751~766
DOI : 10.4134/CKMS.2013.28.4.751
Abstract
We study the existence and long-time behavior of solutions to the following semilinear degenerate parabolic equation on
:
, under a new condition concerning a variable non-negative diffusivity
. Some essential difficulty caused by the lack of compactness of Sobolev embeddings is overcome here by exploiting the tail-estimates method.
11
HYERS-ULAM STABILITY OF MAPPINGS FROM A RING A INTO AN A-BIMODULE
Oubbi, Lahbib ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 767~782
DOI : 10.4134/CKMS.2013.28.4.767
Abstract
We deal with the Hyers-Ulam stability problem of linear mappings from a vector space into a Banach one with respect to the following functional equation:
. We then combine this equation with other ones and establish the Hyers-Ulam stability of several kinds of linear mappings, among which the algebra (*-) homomorphisms, the derivations, the multipliers and others. We thus repair and improve some previous assertions in the literature.
12
SOME BILATERAL GENERATING FUNCTIONS INVOLVING THE CHAN-CHYAN-SRIVASTAVA POLYNOMIALS AND SOME GENERAL CLASSES OF MULTIVARIABLE POLYNOMIALS
Gaboury, Sebastien ; Ozarslan, Mehmet Ali ; Tremblay, Richard ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 783~797
DOI : 10.4134/CKMS.2013.28.4.783
Abstract
Recently, Liu et al. [Bilateral generating functions for the Chan-Chyan-Srivastava polynomials and the generalized Lauricella function, Integral Transform Spec. Funct. 23 (2012), no. 7, 539-549] investigated, in several interesting papers, some various families of bilateral generating functions involving the Chan-Chyan-Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Chan-Chyan-Sriavastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in [A contour integral involving Fox's H-function, Indian J. Math. 14 (1972), 1-6], [A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 117 (1985), 183-191] and by Kaano
lu and
zarslan in [Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), 625-631]. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.
13
AN ELEMENTARY PROOF OF SFORZA-SANTALÓ RELATION FOR SPHERICAL AND HYPERBOLIC POLYHEDRA
Cho, Yunhi ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 799~807
DOI : 10.4134/CKMS.2013.28.4.799
Abstract
We defined and studied a naturally extended hyperbolic space (see [1] and [2]). In this study, we describe Sforza's formula [7] and Santal
's formula [6], which were rediscovered and later discussed by many mathematicians (Milnor [4], Su
rez-Peir
[8], J. Murakami and Ushijima [5], and Mednykh [3]) in the spherical space in an elementary way. Thereafter, using the extended hyperbolic space, we apply the same method to prove their results in the hyperbolic space.
14
TWO CHARACTERIZATION THEOREMS FOR IRROTATIONAL LIGHTLIKE GEOMETRY
Jin, Dae Ho ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 809~818
DOI : 10.4134/CKMS.2013.28.4.809
Abstract
We study irrotational half lightlike submanifolds M of a semi-Riemannian space form with a semi-symmetric non-metric connection such that its structure vector field is tangent to M. We prove two characterization theorems for such an irrotational half lightlike submanifold.
15
GENERALIZED PRODUCT TOPOLOGY
Wu, Xinxing ; Zhu, Peiyong ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 819~825
DOI : 10.4134/CKMS.2013.28.4.819
Abstract
Similarly to Tychonoff product, we introduce the concept of generalized product topology which is different from the notion of product of generalized topologies in [
.
, Acta Math. Hungar. 123 (2009), 127-132] for generalized topology and obtain some properties about it. Besides, we prove that connectedness,
-connectedness and
-connectedness are all preserved under this product.
16
CATALAN TRANSFORM OF THE κ-FIBONACCI SEQUENCE
Falcon, Sergio ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 827~832
DOI : 10.4134/CKMS.2013.28.4.827
Abstract
In this paper we apply the Catalan transform to the
-Fibonacci sequence finding different integer sequences, some of which are indexed in OEIS and others not. After we apply the Hankel transform to the Catalan transform of the
-Fibonacci sequence and obtain an unusual property.
17
COMPUTING THE HAUSDORFF DISTANCE BETWEEN TWO SETS OF PARAMETRIC CURVES
Kim, Ik-Sung ; McLean, William ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 833~850
DOI : 10.4134/CKMS.2013.28.4.833
Abstract
We present an algorithm for computing the Hausdorff distance between two parametric curves in
, or more generally between two sets of parametric curves in
. During repeated subdivision of the parameter space, we prune subintervals that cannot contain an optimal point. Typically, our algorithm costs O(logM) operations, compared with O(M) operations for a direct, brute-force method, to achieve an accuracy of
.
18
ON A RECURRENCE RELATION OF K-MITTAG-LEFFLER FUNCTION
Dhakar, Virendra Singh ; Sharma, Kishan ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 851~856
DOI : 10.4134/CKMS.2013.28.4.851
Abstract
The principal aim of this paper is to investigate a recurrence relation and an integral representation of k-Mittag-Leffler function introduced earlier by Dorrego and Cerutti [2] and several special cases have also been discussed.
19
TOTAL DOMINATIONS IN P
_{6}
-FREE GRAPHS
Chen, Xue-Gang ; Sohn, Moo Young ;
Communications of the Korean Mathematical Society, volume 28, issue 4, 2013, Pages 857~863
DOI : 10.4134/CKMS.2013.28.4.857
Abstract
In this paper, we prove that the total domination number of a
-free graph of order
and minimum degree at least one which is not the cycle of length 6 is at most
, and the bound is sharp.