• 호남수학학술지
• /
• 제30권2호
• /
• pp.207-217
• /
• 2008

Digital geometry has strongly contributed to the study of a discrete topological space $X{\subset}{\mathbf{Z}}^n$ with k-adjacency of ${\mathbf{Z}}^n$. As a survey-type article, we review various utilities of digital geometry.

• 호남수학학술지
• /
• 제42권2호
• /
• pp.213-218
• /
• 2020

Assume that K is a number field and K_ur is the maximal unramified extension of it. When Gal(K_ur/K) is an infinite group. It is known that Gal(K_ur/K) is generated by finitely many Frobenius classes of Gal(K_ur/K) by Y. Ihara. In this paper, we will give the explicit number of Frobenius classes which generate whole group Gal(K_ur/K).

• 대한수학회보
• /
• 제44권2호
• /
• pp.259-263
• /
• 2007

Which spheres are shellable?[2]. We present one of them which is the k-tree with n-labeled vertices. We found that the number of ways to shell the k-dimensional trees on n-labeled vertices is $$\frac{n!}{(k+1)!}(nk-k^2-k+1)!k$$.

• 대한수학회논문집
• /
• 제20권1호
• /
• pp.35-49
• /
• 2005

For an extension field K of k, a restriction homomorphism on Brauer k-group B(k) maps Brauer k-algebras to Brauer K- algebras by tensor product. A purpose of this work is to study the restriction map that sends radical (Schur) k-algebras to radical (Schur) K-algebras. And we ask an analogous question with respect to corestriction map on Brauer group B(K) that whether the corestriction map sends radical K-algebras to radical k-algebras.

• 한국진공학회:학술대회논문집
• /
• 한국진공학회 1996년도 제11회 학술발표회 논문개요집
• /
• pp.34-35
• /
• 1996

• Journal of applied mathematics & informatics
• /
• 제26권5_6호
• /
• pp.1049-1056
• /
• 2008

Intuitionistic Fuzzifications of strong hyper K-ideals and hyper K-subalgebras in hyper K-algebras are discussed, and related properties are investigated. Relations between intuitionistic fuzzy hyper K-subalgebras, intuitionistic fuzzy weak hyper K-ideals and intuitionistic fuzzy strong hyper K-ideals are provided.

• 한국의학물리학회:학술대회논문집
• /
• 한국의학물리학회 1999년도 Japanese Journal of Medical Physics
• /
• pp.342-344
• /
• 1999

• 대한수학회보
• /
• 제40권1호
• /
• pp.123-137
• /
• 2003

In this note first we define the notions of weak implicative and implicative hyper K-ideals of a hyper K-algebra H. Then we state and prove some theorems which determine the relationship between these notions and (weak) hyper K-ideals. Also we give some relations between these notions and all types of positive implicative hyper K-ideals. Finally we classify the implicative hyper K-ideals of a hyper K-algebra of order 3.

• 대한치과보철학회:학술대회논문집
• /
• 대한치과보철학회 2003년도 춘계학술대회 및 제1회 한일 공동 학술대회
• /
• pp.76-76
• /
• 2003

• 한국초전도학회:학술대회논문집
• /
• 한국초전도학회 2008년도 High Temperature Superconductivity Vol.XVIII
• /
• pp.44-44
• /
• 2008