• Journal of the Korean Geographical Society
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• v.48 no.3
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• pp.453-465
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• 2013

This paper aims to reveal that 'identity' plays the crucial role of explaining the relation between humans and space. Geography is preoccupied with footprints of humans which are engraved on the ground. It explores why such tokens are left over. It explains the existence of humans through footsteps of them. Men leaves traces of themselves to notify that who I was and who we were. The traces left behind by humans contain narratives of their own. Through those narratives, the very men who left the traces on the ground are to be grasped. A trace engraved by a person expresses its own identity of representing that person, so the narrative contained by one trace is the narrative of that individual. The identify which is composed of its own narrative can be largely divided into two types. The two are 'changing identity' and 'unchanging identity'. 'Changing identity' shapes the identity of oneself by difference. 'Unchanging identity' constructs the identity by identifying itself with sameness. However, as one's figure in everyday life becomes identical or different, identity also varies through processes of generation and repetition. Therefore, identity is currently changing and in progress.

• Communications of the Korean Mathematical Society
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• v.20 no.1
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• pp.23-34
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• 2005

Let R be a ring with left identity. Let G : $R{\times}R{\to}R$ be a symmetric biadditive mapping and g the trace of G. Let ${\alpha}\;:\;R{\to}R$ be an endomorphism and ${\beta}\;:\;R{\to}R$ an epimorphism. In this paper we show the following: (i) Let R be 2-torsion-free. If g is (${\alpha},{\beta}$)-skew-commuting on R, then we have G = 0. (ii) If g is (${\beta},{\beta}$)-skew-centralizing on R, then g is (${\beta},{\beta}$)-commuting on R. (iii) Let $n{\ge}2$. Let R be (n+1)!-torsion-free. If g is n-(${\alpha},{\beta}$)-skew-commuting on R, then we have G = 0. (iv) Let R be 6-torsion-free. If g is 2-(${\alpha},{\beta}$)-commuting on R, then g is (${\alpha},{\beta}$)-commuting on R.

• Korean Journal of Logic
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• v.21 no.2
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• pp.207-231
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• 2018

The identity theory of truth insists that a truth bearer is identical with a fact. First, I will consider how we can make the thesis intelligible. For this, I classify the identity relation which the identity theory discusses into two kind; trivial and non-trivial relation. And I show that the trivial one is not adequate to be qualified to be applied to the identity theory. The non-trivial relation can be adopted in robust or modest way. I argue that the robust kind of identity theory is incoherent itself. Then, I explain why we should compare the modest identity theory with the deflationism. From this comparing, I will draw the consequence that two choices are left to the modest theory. If they choose one way, there is no reason for us to prefer the identity theory to deflationism. On the other hand, in case that they choose the other way, I argue what kinds of interesting problem is left to be solved by the modest theorists. Finally, I will evaluate the limit and prospect of the result of the problem in case that the identity theorists achieve their goal.

• Bulletin of the Korean Mathematical Society
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• v.29 no.2
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• pp.221-226
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• 1992

The involutions in a left Artinian ring A with identity are investigated. Those left Artinian rings A for which 2 is a unit in A and the set of involutions in A forms a finite abelian group are characterized by the number of involutions in A.

• Bulletin of the Korean Mathematical Society
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• v.31 no.1
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• pp.99-104
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• 1994

Let R be a left Artinian ring with identity 1 and let G be the group of units of R. It is shown that if G is finite, then R is finite. It is also shown that if 2.1 is a unit in R, then G is abelian if and only if R is commutative.

• Fashion & Textile Research Journal
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• v.16 no.2
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• pp.185-195
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• 2014

This study is to develop marine fashion items for various marine leisure activities based on the identity of Busan. Motifs from the fireworks festival and image colors of Busan are introduced for the items. A prototype design to express uniqueness and characteristics of fireworks was produced with a line combination among design modeling factors and applied to T-shirt item for comfort use in the marine leisure activity and daily life. T-shirt is one of fashion items for a message communication due to a unique modeling which can be used an excellent advertising item for the culturel identity and image of Busan. Designs were produced with the characteristics of fireworks in which circular shapes of a chrysanthemum, ring, and peony designates as motif 1, 2, 3 as well as linear shape of Niagara, fan shape, and tiger-tail as motif 4, 5, and 6. These designs were located on the front, central chest, and left chest in the T-shirts then analyzed by major students in the course of master and doctor of clothing and textiles with statistical methods. A design with new coloring preferred than the design of a symbolic construction, and circular design on the front and linear design on the left chest were preferred in the results. Prototypes were produced with peony and tiger-tail design which show a high corelation between circular and linear shape, and coloring as well as high purchasing needs. This study results will expect to use for the development of advertising items for the various events of Busan based on the textile design and fashion items with the identity of Busan.

• Communications of the Korean Mathematical Society
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• v.10 no.3
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• pp.603-607
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• 1995

This paper gives some basic properties on a disjoint decomposition of regular *-semigroups and shows thata regular *-semigroup with a left magnifying element has an identity element.

• Honam Mathematical Journal
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• v.27 no.4
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• pp.595-602
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• 2005

Comtrans algebras are modules equipped with two trilinear operations: a left alternative commutator and a translator satisfying the Jacobi identity, the commutator and translator being connected by the so-called comtrans identity. These identities have analogues for trilinear forms. On a given vector space, the set of all comtrans algebra structures itself forms a vector space. In this paper, the dimension of the space of comtrans algebra structures on a finite-dimensional vector space is determined.

• The Pure and Applied Mathematics
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• v.1 no.1
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• pp.1-6
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• 1994

In this paper, some properties for a PI-ring satisfying the descending chain condition on essential left ideals are studied: Let R be a ring with a polynomial identity satisfying the descending chain condition on essential ideals. Then all minimal prime ideals in R are maximal ideals. Moreover, if R has only finitely many minimal prime ideals, then R is left and right Artinian. Consequently, if every primeideal of R is finitely generated as a left ideal, then R is left and right Artinian. A finitely generated PI-algebra over a commutative Noetherian ring satisfying the descending chain condition on essential left ideals is a finite module over its center.(omitted)

• Korean Journal of Mathematics
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• v.23 no.3
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• pp.357-370
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• 2015

In this paper, we introduce the concept of (m, n)-ideals in a non-associative ordered structure, which is called an ordered Abel-Grassmann's groupoid, by generalizing the concept of (m, n)-ideals in an ordered semigroup [14]. We also study the (m, n)-regular class of an ordered AG-groupoid in terms of (m, n)-ideals.