• Bulletin of the Korean Mathematical Society
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• v.35 no.3
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• pp.432-439
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• 1998

The main purpose of this paper is to give a characterization of a totally geodesic Kaehler submanifold M of a Kaehler manifold $\tilde{M}$ by observing the extrinsic shape of particular circles of the submanifold M.

• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.693-699
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• 1999

It is a well-known result that a commutative ring R is von Neumann regular if and only if for any maximal ideal m of R the R-module R/m is flat. In this note we bring a generalization of this result for modules.

• Communications of the Korean Mathematical Society
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• v.12 no.1
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• pp.17-25
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• 1997

We estimate the genus g(N) of modular curve $X_0^0(N)$ and show that g(N) = 0 if and only if $1 \leq N \leq 5$.

• Bulletin of the Korean Mathematical Society
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• v.53 no.6
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• pp.1909-1911
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• 2016

In this note we point out some mistakes in a recent paper by M. Nunokawa et al. [Bull. Korean Math. Soc. 53 (2016), no. 1, 215-225].

• Communications of the Korean Mathematical Society
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• v.11 no.2
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• pp.295-301
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• 1996

In this paper we will define correct module and strongly correct module. We can have some basic results about those modules. And we will show that M is a graded correct R-module if and only if $M_e$ is a correct $R_e$-module.

• Communications of the Korean Mathematical Society
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• v.11 no.2
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• pp.303-310
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• 1996

We define a group property of finite base which is closely related to finite Pr$\ddot{u}$fer rank, and then study the class of groups having such a property.

• Communications of the Korean Mathematical Society
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• v.13 no.2
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• pp.273-280
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• 1998

We construct factors of type III and of type $II_\infty$ over the Hilbert spaces on the equivalence relations.

• East Asian mathematical journal
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• v.22 no.2
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• pp.189-194
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• 2006

Throughout this paper, a semigroup S will denote a torsion free grading monoid, and it is a non-zero semigroup with 0. The operation is written additively. The aim of this paper is to study semigroup version of an integral domain ([1],[3],[4] and [5]).

• Journal of applied mathematics & informatics
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• v.12 no.1_2
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• pp.49-57
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• 2003

In this paper, we give some sufficient conditions for convergence of geometric mean for T-related fuzzy numbers where T is an Archimedean t-norm under some mild restrictions. These results generalize earlier results of Hong and Lee [Fuzzy Sets and Systems 116 (2000) 263-267].

• Korean Journal of Mathematics
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• v.7 no.2
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• pp.291-299
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• 1999

Let ${\Omega}$ be the set of all commutative $k$-subalgebras of 14 by 14 matrices over a field $k$ whose dimension is 13 and index of Jacobson radical is 3. Then we will find the equivalent condition for a commutative subalgebra to be maximal.