• Korean Journal of Mathematics
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• 제16권3호
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• pp.363-367
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• 2008

In this paper, we define the S-distal flow and S-distal homomorphism which are motivated by the distal flow and the distal homomorphism respectively and obtain some results and that an Sdistal extension of an S-distal flow is S-distal.

• 호남수학학술지
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• 제30권1호
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• pp.47-51
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• 2008

By finding two characters of subgroups of the Heisenberg group $H_{27}$ whose induced characters are same, we prove that the Birch and Swinnerton-Dyer conjectures for two elliptic curves corresponding to the characters are equivalent.

• 충청수학회지
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• 제18권1호
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• pp.81-86
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• 2005

In this paper, we consider locally compact Hausdorff spaces having the closed unit interval of the real line as the remainder for an ESH-compactification and obtain that in the class of compact maps the extensions of homotopic maps on the respective ESH-compactifications remain homotopic under certain conditions.

• 한국통신학회:학술대회논문집
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• 한국통신학회 2004년도 하계종합학술발표회논문초록집
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• pp.297-297
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• 2004

• 호남수학학술지
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• 제33권2호
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• pp.163-171
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• 2011

In this paper we provide extensions of the Marcinkiewicz Zygmund laws of large numbers for i.i.d random variables with multidimensional indices to the case of negatively dependent random fields.

• 대한수학회논문집
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• 제10권2호
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• pp.393-400
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• 1995

We define a group extension and characterized some properties of the group extension. In particular, we show that the quotient map $\nu$ is a continuous group isomorphism and subgroup $H_1(H_2)$ is normal in $G_1(G_2)$.

• 대한수학회논문집
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• 제24권1호
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• pp.1-4
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• 2009

In this paper we explicitly compute a Minkowski unit of a real abelian field and give a criterion when the first layer of anti-cyclotomic ${\mathbb{Z}}_3$-extension of an imaginary quadratic field is unramified everywhere.

• 충청수학회지
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• 제21권4호
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• pp.427-435
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• 2008

In this paper, we give some extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We also discuss the relation among the C-Dunford integral, C-Pettis integral and C-integral.

• 충청수학회지
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• 제7권1호
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• pp.87-95
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• 1994

Relationships between the prime ideals of a ring R and of a normalizing extension S have been studied by several authors. Relationships between the prime ideals of a ring R and of an intermediate normalizing extension T also have studied by several authors where $R{\subset}T{\subset}S$. In this note, some relationships between prime ideals of T and S are studied.

• 충청수학회지
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• 제26권1호
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• pp.37-44
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• 2013

Let R be a commutative semiring with $1_R{\neq}0_R$. Characterization of subsemimodules, prime subsemimodules and primary subsemimodules which are subtractive extensions of Q-subsemimodules in R-semimodules are investigated.