• Bulletin of the Korean Mathematical Society
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• v.47 no.1
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• pp.121-129
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• 2010

Using a degree theory for countably condensing multivalued maps, we show that under certain conditions an invariance of domain theorem holds for countably condensing or countably k-contractive multivalued vector fields.

• Journal of the Korean Mathematical Society
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• v.32 no.2
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• pp.265-277
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• 1995

In [9], we gave a very explicit description of the injective envelope of an arbitray simple module over a polynomial ring $K[X_1, \ldots, X_n]$ over a field K in indeterminates $X_1, \ldots, X_n$. This paper presents another approach to give a description.

• Journal of the Korean Mathematical Society
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• v.36 no.3
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• pp.609-619
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• 1999

We give a mathematically rigorous description of the recently popular latent semantic indexing (LSI) method in text information retrieval theory. Also, a related problem of finding a document ranking function in linear relevance feedback is discussed.

• Journal of the Korean Mathematical Society
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• v.43 no.1
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• pp.65-76
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• 2006

Let $\tau$ be a hereditary torsion theory and let p be a prime ideal of a commutative ring R. We study the existence of (minimal) $\tau-injective$ submodules of the injective hull of R/p.

• Journal of the Korean Mathematical Society
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• v.40 no.3
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• pp.423-434
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• 2003

We prove an approximation result, and we get a new proof of the main result in [7]. I hope that this new proof may be a step towards a generalization of the Poletsky theory of discs to the case of almost complex manifolds.

• Journal of the Chungcheong Mathematical Society
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• v.7 no.1
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• pp.1-11
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• 1994

The theory of inverse semigroups has many features in common with the theory of groups. Many different properties of semigroup become the same condition on ring. In this paper, we want to find the properties of semigroups which is preserved by the properties of ring. Also we find that many different properties become the equivalent conditions.

• East Asian mathematical journal
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• v.24 no.3
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• pp.233-249
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• 2008

We present new fixed point theorems for inward and weakly inward Urysohn type maps. Also we discuss $M{\ddot{o}}nch$ Kakutani and contractive type maps.

• Proceedings of the Jangjeon Mathematical Society
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• v.20 no.2
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• pp.183-191
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• 2017

We get one theorem that there exist solutions for the fourth order semi- linear elliptic Dirichlet boundary value problem with fully nonlinear term. We prove this result by the critical point theory and the variation of linking method.

• Journal of Physiology & Pathology in Korean Medicine
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• v.32 no.4
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• pp.197-210
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• 2018

In order to clarify spatial meaning of Meridian and Collateral theory(經絡學說) within the human body. Meridian Divergence(經別) was studied mainly on "Miraculous Pivot(靈樞) - Meridian Divergence section(經別篇)". Furthermore, the meaning of Meridian Divergence(經別) was investigated based on Symbolic Mathematical Study(象數學). Firstly, Meridian divergence(經別) is associated with brain and Viscera and Bowels(臟腑) which are located in the Central Palace(中宮, Zhong Gong). It draws that Meridian Divergence(經別) is a theory based on Nine Palace(九宮, Jiugong), the spatial theory of Symbolic Mathematical Study(象數學). In this system, Viscera and Bowels(臟腑) were included in Meridian and Collateral(經絡). Secondly, the Central Palace(中宮, Zhong Gong) imparts functionality to Nine Palace(九宮, Jiu Gong). Therefore, brain and Viscera and Bowels(臟腑) in Central Palace(中宮, Zhong Gong) supply Qi and Blood(氣血) to whole Meridian and Collateral(經絡) and also control each Meridian and Collateral(經絡) through Twelve Meridian Divergences(十二經別). Meridian and Collateral Theory(經絡學說) is the theory of Body space. The basic theory of Twelve Meridian Vessels(十二經脈), Three Yin and Three Yang(三陰三陽) signifies six areas of human body space. And Fifteen Collateral Vessels(十五絡脈) connect the six areas of the Twelve Meridian Vessles(十二經脈) through Six Harmonies(六合, liu He). In addition, Meridian Divergence(經別) is also based on Nine Palace(九宮, Jiu Gong). Thus, Meridian and Collateral(經絡) classifies and organically integrates the human body space that is filled with Qi and Blood(氣血) by applying the theories of Symbolic Mathematical Study(象數學). Recently presented Morphogenetic field hypothesis resembles Meridian and Collateral theory(經絡學說). However Meridian and Collateral theory(經絡學說) is considered to be the substantive concept that has relation to treatments based on Meridian points(經穴) which contain the spatial information of Meridian and Collateral theory(經絡學說).

• Journal of the Korean Mathematical Society
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• v.38 no.6
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• pp.1117-1123
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• 2001

A ring is a DICC ring if every chain of right ideals in-dexed by the integers stabilizes to the left or to the right or to both sides. A counterexample is given to an assertion of karamzadeh and Motamedi that a transfinite power of the Jacobson radical of a right DICC ring is zero. we determine the behavior of the transfinite powers of the Jacobson radical relative to a torsion theory and consequently can obtain their correct behavior in the classical setting.