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SOME CLASSES OF 3-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS
호남수학회 호남수학회 2015 호남수학학술지 Vol.37 No.4
The aim of present paper is to investigate 3-dimensional ξ-projectively flat and φ-projectively flat normal almost paracontact metric manifolds. As a first step, we proved that if the 3-dimensional normal almost paracontact metric manifold is ξ-projectively flat then ◁β= 0. If additionally β is constant then the manifold is β-para-Sasakian. Later, we proved that a 3-dimensional normal almost paracontact metric manifold is φ-projectively flat if and only if it is an Einstein manifold for α,β=const. Finally, we constructed an example to illustrate the results obtained in previous sections.
$\Omega$-interval-valued fuzzy subsemigroups in a semigroup
이정곤,허걸,임평기 호남수학회 2015 호남수학학술지 Vol.37 No.1
By using a set $\Omega$, we introduce the concept of $\Omega$-fuzzy subsemigroups and study some of it's properties. Also, we show that the homomorphic images and preimages of $\Omega$-fuzzy subsemigroups become $\Omega$-fuzzy subsemigroups. By using a set $\Omega$, we introduce the concept of $\Omega$-fuzzy subsemigroups and study some of it's properties. Also, we show that the homomorphic images and preimages of $\Omega$-fuzzy subsemigroups become $\Omega$-fuzzy subsemigroups.
A Note on Smooth Affine Varieties
So, Kwang Ho 호남수학회 1979 호남수학학술지 Vol.1 No.1
本 論文에서는 smooth Affine variety가 微分可能 多樣體임을 보임으로써 代數幾何學이 多樣體理論과 關聯됨을 論하였다. §1 에서는 affine variety의 次元과 affine variety의 接空間에 對한 定義와 그에 關聯된 性質들을 論하였고 §2 에서는 simple point와 局所 媒介變數, 그리고 θ_x에서의 有理函數의 Taylor 級數 等을 利用하여 主定理(定理9)를 證明하였다.
Several properties of Quaternionic regular functions in Clifford Analysis
강한울,손광호,김민지 호남수학회 2015 호남수학학술지 Vol.37 No.4
In this paper, we research some properties of quaternionic regular functions in Clifford analysis. We investigate the corresponding Cauchy-Riemann system and find regularities of some hypercomplex valued functions.
A CHARACTERIZATION OF CONIC SECTIONS
김동수,강승희 호남수학회 2011 호남수학학술지 Vol.33 No.3
We study some properties of tangent lines of conic sections. As a result, we establish a characterization of conic sections.
GROUP OF POLYNOMIAL PERMUTATIONS OF Zpr
이관규,이혜숙 호남수학회 2012 호남수학학술지 Vol.34 No.4
The set of all polynomial permutations of Zpr forms a group. We investigate the structure of the group and some related groups, and completely determine the structure of the group of all polynomial permutations of Zp2 .
A NOTE ON QUASI-TOPOLOGICAL SPACES
민원근 호남수학회 2011 호남수학학술지 Vol.33 No.1
We study some properties of quasi-topological spaces. Also we introduce the concept of Q-continuity and investigate several types of quasi-topology on an SGNS.
ON SUBMODULE TRANSFORMS T(N) AND S(N)
조용환 호남수학회 2012 호남수학학술지 Vol.34 No.4
In this paper, we give some properties on submodule transforms.
A METRIC INDUCED BY THE BERGMAN KERNEL
김종진 호남수학회 2014 호남수학학술지 Vol.36 No.4
In this paper, we define a metric induced by the Bergman Kernel and prove a property that the metric has under any biholomorphic mapping.
THE BOUNDARIES OF DIPOLE GRAPHS AND THE COMPLETE BIPARTITE GRAPHS K2,n
김동석 호남수학회 2014 호남수학학술지 Vol.36 No.2
We study the Seifert surfaces of a link by relating the embeddings of graphs with induced graphs. As applications, we prove that every link L is the boundary of an oriented surface which is obtained from a graph embedding of a complete bipartite graph K2,n, where all voltage assignments on the edges of K2,n are 0. We also provide an algorithm to construct such a graph diagram of a given link and demonstrate the algorithm by dealing with the links 412 and 52.