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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 27, Issue 4 - Oct 2012
Volume 27, Issue 3 - Jul 2012
Volume 27, Issue 2 - Apr 2012
Volume 27, Issue 1 - Jan 2012
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1
N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA
Lee, Kyoung-Ja ; Jun, Young-Bae ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 645~651
DOI : 10.4134/CKMS.2012.27.4.645
Abstract
Based on a sub-BCK-algebra K of a BCI-algebra X, the notions of N-subalgebras and N-ideals of X are introduced, and their relations/properties are investigated.
2
AUTOMORPHISM GROUP OF THE TERNARY SELF-DUAL CODE OF LENGTH 8
Kim, Hyun-Jin ; Lee, June-Bok ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 653~664
DOI : 10.4134/CKMS.2012.27.4.653
Abstract
We study the abstract structure of the automorphism group of the ternary self-dual code of length 8 and give its convenient presentation by generators.
3
ALGORITHMIC PROOF OF MaxMult(T) = p(T)
Kim, In-Jae ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 665~668
DOI : 10.4134/CKMS.2012.27.4.665
Abstract
For a given graph G we consider a set S(G) of all symmetric matrices A = [
] whose nonzero entries are placed according to the location of the edges of the graph, i.e., for
,
if and only if vertex
is adjacent to vertex
. The minimum rank mr(G) of the graph G is defined to be the smallest rank of a matrix in S(G). In general the computation of mr(G) is complicated, and so is that of the maximum multiplicity MaxMult(G) of an eigenvalue of a matrix in S(G) which is equal to
- mr(G) where n is the number of vertices in G. However, for trees T, there is a recursive formula to compute MaxMult(T). In this note we show that this recursive formula for MaxMult(T) also computes the path cover number
(T) of the tree T. This gives an alternative proof of the interesting result, MaxMult(T) =
(T).
4
IMPLICATIVE FILTERS OF R
_{0}
-ALGEBRAS BASED ON FUZZY POINTS
Jun, Young-Bae ; Song, Seok-Zun ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 669~687
DOI : 10.4134/CKMS.2012.27.4.669
Abstract
As a generalization of the concept of a fuzzy implicative filter which is introduced by Liu and Li [3], the notion of (
,
)-fuzzy implicative filters is introduced, and related properties are investigated. The relationship between (
,
)-fuzzy filters and (
,
)-fuzzy implicative filters is established. Conditions for an (
,
)-fuzzy filter to be an (
,
)-fuzzy implicative filter are considered. Characterizations of an (
,
)-fuzzy implicative filter are provided, and the implication-based fuzzy implicative filters of an
-algebra is discussed.
5
E-INVERSIVE *-SEMIGROUPS
Wang, Shoufeng ; Li, Yinghui ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 689~699
DOI : 10.4134/CKMS.2012.27.4.689
Abstract
(S, *) is a semigroup S equipped with a unary operation "*". This work is devoted to a class of unary semigroups, namely E-
*-
. A unary semigroup (S, *) is called an E-inversive *-semigroup if the following identities hold:
,
,
. In this paper, E-inversive *-semigroups are characterized by several methods. Furthermore, congruences on these semigroups are also studied.
6
FUZZY p-IDEALS OF BCI-ALGEBRAS WITH DEGREES IN THE INTERVAL (0, 1]
Hwang, Yun-Sun ; Ahn, Sun-Shin ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 701~708
DOI : 10.4134/CKMS.2012.27.4.701
Abstract
The notion of an enlarged
-ideal and a fuzzy
-ideal in BCI-algebras with degree are introduced. Related properties of them are investigated.
7
COINCIDENCES AND FIXED POINT THEOREMS FOR MAPPINGS SATISFYING CONTRACTIVE CONDITION OF INTEGRAL TYPE ON d-COMPLETE TOPOLOGICAL SPACES
Dimri, Ramesh Chandra ; Singh, Amit ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 709~720
DOI : 10.4134/CKMS.2012.27.4.709
Abstract
In this paper, we prove some fixed point theorems for some weaker forms of compatibility satisfying a contractive condition of integral type on d-complete Hausdorff topological spaces. Our results extend and generalize some well known previous results.
8
THE INTEGRAL EXPRESSION INVOLVING THE FAMILY OF LAGUERRE POLYNOMIALS AND BESSEL FUNCTION
Shukla, Ajay Kumar ; Salehbhai, Ibrahim Abubaker ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 721~732
DOI : 10.4134/CKMS.2012.27.4.721
Abstract
The principal aim of the paper is to investigate new integral expression
, where
is a positive real number;
,
and
are complex numbers with positive real parts;
,
,
,
and
are complex numbers whose real parts are greater than -1;
is Bessel function and
(
) is generalized Laguerre polynomials. Some integral formulas have been obtained. The Maple implementation has also been examined.
9
COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR SINGLE-VALUED AND SET-VALUED MAPPINGS
Pant, Badri Datt ; Samet, Bessem ; Chauhan, Sunny ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 733~743
DOI : 10.4134/CKMS.2012.27.4.733
Abstract
In the present paper, we prove common fixed point theorems for single-valued and set-valued occasionally weakly compatible mappings in Menger spaces. Our results improve and extend the results of Chen and Chang [Chi-Ming Chen and Tong-Huei Chang, Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006 (2006), Article ID 75931, Pages 1-15].
10
ON SUMS OF CERTAIN CLASSES OF SERIES
Kim, Yong-Sup ; Chaudhary, Mahendra Pal ; Rathie, Arjun Kumar ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 745~751
DOI : 10.4134/CKMS.2012.27.4.745
Abstract
The aim of this research note is to provide the sums of the series
for
= 0,
,
,
,
,
. The results are obtained with the help of generalization of Bailey's summation theorem on the sum of a
obtained earlier by Lavoie et al.. Several interesting results including those obtained earlier by Srivastava, Vowe and Seiffert, follow special cases of our main findings. The results derived in this research note are simple, interesting, easily established and (potentially) useful.
11
SOME REMARKS ON EXTREMAL PROBLEMS IN WEIGHTED BERGMAN SPACES OF ANALYTIC FUNCTIONS
Shamoyan, Romi F. ; Arsenovic, Milos ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 753~762
DOI : 10.4134/CKMS.2012.27.4.753
Abstract
We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane. We also prove new analogous results in the context of bounded strictly pseudoconvex domains with smooth boundary.
12
LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE
Jin, Dae-Ho ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 763~770
DOI : 10.4134/CKMS.2012.27.4.763
Abstract
In this paper, we study the geometry lightlike hypersurfaces (M,
, S(TM)) of a semi-Riemannian manifold (
,
) of quasi-constant curvature subject to the conditions: (1) The curvature vector field of
is tangent to M, and (2) the screen distribution S(TM) is either totally geodesic in M or totally umbilical in
.
13
BIMINIMAL CURVES IN 2-DIMENSIONAL SPACE FORMS
Inoguchi, Jun-Ichi ; Lee, Ji-Eun ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 771~780
DOI : 10.4134/CKMS.2012.27.4.771
Abstract
We study biminimal curves in 2-dimensional Riemannian manifolds of constant curvature.
14
SEMI-RIEMANNIAN SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
Yucesan, Ahmet ; Yasar, Erol ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 781~793
DOI : 10.4134/CKMS.2012.27.4.781
Abstract
We study some properties of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric non-metric connection. Then, we prove that the Ricci tensor of a semi-Riemannian submanifold of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric but is not parallel. Last, we give the conditions under which a totally umbilical semi-Riemannian submanifold with a semi-symmetric non-metric connection is projectively flat.
15
ON A CLASS OF THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS
De, Uday Chand ; De, Krishnendu ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 795~808
DOI : 10.4134/CKMS.2012.27.4.795
Abstract
The object of the present paper is to study 3-dimensional trans-Sasakian manifolds with conservative curvature tensor and also 3-dimensional conformally flat trans-Sasakian manifolds. Next we consider compact connected
-Einstein 3-dimensional trans-Sasakian manifolds. Finally, an example of a 3-dimensional trans-Sasakian manifold is given, which verifies our results.
16
R(g, g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES
Kim, Young-Key ; Min, Won-Keun ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 809~813
DOI : 10.4134/CKMS.2012.27.4.809
Abstract
We introduce the notion of R(
,
)-continuity on generalized topological spaces, which is a strong form of (
,
)-continuity. We investigate some properties and relationships among R(
,
)-continuity, (
,
)-continuity and some strong forms of (
,
)-continuity.
17
HOMOLOGY 3-SPHERES OBTAINED BY SURGERY ON EVEN NET DIAGRAMS
Lee, Sang-Youl ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 815~834
DOI : 10.4134/CKMS.2012.27.4.815
Abstract
In this paper, we characterize surgery presentations for
-homology 3-spheres and
-homology 3-spheres obtained from
by Dehn surgery along a knot or link which admits an even net diagram and show that the Casson invariant for
-homology spheres and the
-invariant for
-homology spheres can be directly read from the net diagram. We also construct oriented 4-manifolds bounding such homology spheres and find their some properties.
18
A NOTE ON THE CHARACTERIZATIONS OF PARETO DISTRIBUTION BY UPPER RECORD VALUES
Ahsanullah, Mohammad ; Shakil, Mohammad ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 835~842
DOI : 10.4134/CKMS.2012.27.4.835
Abstract
Many researchers have studied the characterizations of probability distributions based on record values. It appears from literature that not much attention has been paid to the characterizations of the Pareto distribution. In this note, some new results on the characterizations of the Pareto distribution by upper record values have been established.
19
ON GRAPHS WITH EQUAL CHROMATIC TRANSVERSAL DOMINATION AND CONNECTED DOMINATION NUMBERS
Ayyaswamy, Singaraj Kulandaiswamy ; Natarajan, Chidambaram ; Venkatakrishnan, Yanamandram Balasubramanian ;
Communications of the Korean Mathematical Society, volume 27, issue 4, 2012, Pages 843~849
DOI : 10.4134/CKMS.2012.27.4.843
Abstract
Let G = (V, E) be a graph with chromatic number
. dominating set D of G is called a chromatic transversal dominating set (ctd-set) if D intersects every color class of every
-partition of G. The minimum cardinality of a ctd-set of G is called the chromatic transversal domination number of G and is denoted by
(G). In this paper we characterize the class of trees, unicyclic graphs and cubic graphs for which the chromatic transversal domination number is equal to the connected domination number.