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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 30, Issue 3 - Jun 2015
Volume 30, Issue 2 - Apr 2015
Volume 30, Issue 1 - Jan 2015
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1
CHARACTERIZATION OF A CYCLIC GROUP RING IN TERMS OF CHARACTER VALUES
Lee, Joongul ;
Communications of the Korean Mathematical Society, volume 30, issue 1, 2015, Pages 1~5
DOI : 10.4134/CKMS.2015.30.1.001
Abstract
Let G be a cyclic group of prime power order. There is a natural embedding of
into a product of rings of integers of cyclotomic fields. In this paper the image of the embedding is determined, and we also compute the index of the image.
2
SINGULARITY ORDER OF THE RIESZ-NÁGY-TAKÁCS FUNCTION
Baek, In-Soo ;
Communications of the Korean Mathematical Society, volume 30, issue 1, 2015, Pages 7~21
DOI : 10.4134/CKMS.2015.30.1.007
Abstract
We give the characterization of H
lder differentiability points and non-differentiability points of the Riesz-N
gy-Tak
cs (RNT) singular function
satisfying
. It generalizes recent multifractal and metric number theoretical results associated with the RNT function. Besides, we classify the singular functions using the singularity order deduced from the H
lder derivative giving the information that a strictly increasing smooth function having a positive derivative Lebesgue almost everywhere has the singularity order 1 and the RNT function
has the singularity order
.
3
SPHERICAL MEANS AND PINNED DISTANCE SETS
Oberlin, Daniel ; Oberlin, Richard ;
Communications of the Korean Mathematical Society, volume 30, issue 1, 2015, Pages 23~34
DOI : 10.4134/CKMS.2015.30.1.023
Abstract
We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.
4
NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS
Jin, Dae Ho ;
Communications of the Korean Mathematical Society, volume 30, issue 1, 2015, Pages 35~43
DOI : 10.4134/CKMS.2015.30.1.035
Abstract
We study two types of 1-lightlike submanifolds, so-called lightlike hypersurface and half lightlike submanifold, of an indefinite trans-Sasakian manifold
admitting non-metric
-connection. We prove that there exist no such two types of 1-lightlike submanifolds of an indefinite trans-Sasakian manifold
admitting non-metric
-connections.
5
A PROPER TOTAL COLORING DISTINGUISHING ADJACENT VERTICES BY SUMS OF SOME PRODUCT GRAPHS
Choi, Hana ; Kim, Dongseok ; Lee, Sungjin ; Lee, Yeonhee ;
Communications of the Korean Mathematical Society, volume 30, issue 1, 2015, Pages 45~64
DOI : 10.4134/CKMS.2015.30.1.045
Abstract
In this article, we consider a proper total coloring distinguishes adjacent vertices by sums, if every two adjacent vertices have different total sum of colors of the edges incident to the vertex and the color of the vertex. Pilsniak and Wozniak [15] first introduced this coloring and made a conjecture that the minimal number of colors need to have a proper total coloring distinguishes adjacent vertices by sums is less than or equal to the maximum degree plus 3. We study proper total colorings distinguishing adjacent vertices by sums of some graphs and their products. We prove that these graphs satisfy the conjecture.