• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1265-1279
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• 2017

In order to study the structure of arbitrary split Leibniz triple systems, we introduce the class of split Leibniz triple systems as the natural extension of the class of split Lie triple systems and split Leibniz algebras. By developing techniques of connections of roots for this kind of triple systems, we show that any of such Leibniz triple systems T with a symmetric root system is of the form $T=U+{\sum}_{[j]{\in}{\Lambda}^1/{\sim}}I_{[j]}$ with U a subspace of $T_0$ and any $I_{[j]}$ a well described ideal of T, satisfying $\{I_{[j]},T,I_{[k]}\}=\{I_{[j]},I_{[k]},T\}=\{T,I_{[j]},I_{[k]}\}=0 \text{ if }[j]{\neq}[k]$.

• Kyungpook Mathematical Journal
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• v.56 no.2
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• pp.397-408
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• 2016

Let R be a 2-torsion free prime ring with center Z, U be the Utumi quotient ring, Q be the Martindale quotient ring of R, d be a derivation of R and L be a Lie ideal of R. If $d(uv)^n=d(u)^md(v)^l$ or $d(uv)^n=d(v)^ld(u)^m$ for all $u,v{\in}L$, where m, n, l are xed positive integers, then $L{\subseteq}Z$. We also examine the case when R is a semiprime ring. Finally, as an application we apply our result to the continuous derivations on non-commutative Banach algebras. This result simultaneously generalizes a number of results in the literature.

• Bulletin of the Korean Mathematical Society
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• v.48 no.5
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• pp.917-922
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• 2011

Let R be a prime ring, H a generalized derivation of R, L a noncentral Lie ideal of R, and 0 ${\neq}$ a ${\in}$ R. Suppose that $au^sH(u)u^t$ = 0 for all u ${\in}$ L, where s; t ${\geq}$ 0 are fixed integers. Then H = 0 unless satisfies $S_4$, the standard identity in four variables.

• The Pure and Applied Mathematics
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• v.10 no.4
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• pp.207-215
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• 2003

Let R be a prime ring with characteristic different from two and let $\theta,\varphi,\sigma,\tau$ be the automorphisms of R. Let d : $R{\rightarrow}R$ be a nonzero ($\theta,\varphi$)-derivation. We prove the following results: (i) if $a{\in}R$ and [d(R), a]$_{{\theta}o{\sigma},{\varphi}o{\tau}}$=0, then $\sigma(a)\;+\;\tau(a)\;\in\;Z$, the center of R, (ii) if $d([R,a]_{\sigma,\;\tau)\;=\;0,\;then\;\sigma(a)\;+\;\tau(a)\;\in\;Z$, (iii) if $[ad(x),\;x]_{\sigma,\;\tau}\;=\;0;for\;all\;x\;\in\;RE$, then a = 0 or R is commutative.

• Bulletin of the Korean Mathematical Society
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• v.49 no.4
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• pp.885-898
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• 2012

Let m, n, r be nonzero fixed positive integers, R a 2-torsion free prime ring, Q its right Martindale quotient ring, and L a non-central Lie ideal of R. Let D : $R{\rightarrow}R$ be a skew derivation of R and $E(x)=D(x^{m+n+r})-D(x^m)x^{n+r}-x^mD(x^n)x^r-x^{m+n}D(x^r)$. We prove that if $E(x)=0$ for all $x{\in}L$, then D is a usual derivation of R or R satisfies $s_4(x_1,{\ldots},x_4)$, the standard identity of degree 4.

• The Pure and Applied Mathematics
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• v.13 no.3 s.33
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• pp.189-195
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• 2006

Let R be a prime ring with characteristics not 2 and ${\sigma},\;{\tau},\;{\alpha},\;{\beta}$ be auto-morphisms of R. Suppose that $d_1$ is a (${\sigma},\;{\tau}$)-derivation and $d_2$ is a (${\alpha},\;{\beta}$)-derivation on R such that $d_{2}{\alpha}\;=\;{\alpha}d_2,\;d_2{\beta}\;=\;{\beta}d_2$. In this note it is shown that; (1) If $d_1d_2$(R) = 0 then $d_1$ = 0 or $d_2$ = 0. (2) If [$d_1(R),d_2(R)$] = 0 then R is commutative. (3) If($d_1(R),d_2(R)$) = 0 then R is commutative. (4) If $[d_1(R),d_2(R)]_{\sigma,\tau}$ = 0 then R is commutative.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.6 no.5
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• pp.1421-1444
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• 2012

Mobile devices such as Android devices are emerging as a convenient client computing device with mobility and context-sensing capability. However, the computing power and hardware resource of the devices are limited due to their small form-factor. Consequently, large-scaled applications could not be deployed on these devices. Nonetheless, if the large-scaled applications are deployed and executed on the devices, high performance of the applications cannot be guaranteed. To remedy the limitation in terms of performance, it is inevitable to let some heavy-weight functionality executed on the server side and let a client application invoke the functionality in the server. To realize this kind of mobile applications, we adopt well-defined architecture design principles; being thin-client, being layered with Model-View-Controller (MVC), and being balanced between client side and server side. By adopting the principles, we propose a unique, ideal and practical architecture for mobile applications, called balanced MVC architecture. By considering the principles, key design considerations of realizing balanced MVC architecture lie in functionality partitioning. Hence, we define key criteria of determining the degree of performance. And, we define a method to design a balanced MVC architecture which embodies functionality partitioning for high performance, and a simulation-based evaluation method of balanced MVC architectures.

• Journal of the Korean Institute of Landscape Architecture
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• v.25 no.2
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• pp.104.2-104.2
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• 1997

Ji Cheng''''s great work on garden design theory, the ''''Yuanye'''', written in 1631 and originally published in 1634 is the first surviving treatise and most famous and comprehensive work on the suvject in the Chinese tradition. He constructed Dongdiyuan in Changzhou about 1623, Wuyuan in Yizheng in 1631, and Yingyuan in Yangzhou about 1634. But no poems and paintings written by him still exist, and none of his known gardens has survived. Therefore his design philosophy is able to be interpreted only by his work, Yuanye. This study aims at investigating the garden design theory in Yuanye. The results were summarized as follows. 1) Yuanye reflected the garden tastes of literati, and Ji Cheng endeavored to express the deas of literati painting into gardens. 2) The essence of the garden design theory is Xingzao, and Yindi, following the existing lie of the land, and Jiejing, to borrow from the scenery, are two major activities of Xingzao. 3) Ji Cheng''''s design theory build up on the basis of recognizing the existence of masters. 4) Yindi is the environmental and ecological planning and design method. This is the activity to reach the state of artistry through suitability. 5) Jiejing is not merely borrowing the landscape but the making use of scenery around the garden. And only the master has the skill in fitting in with the form of the land. 6) Ji Cheng pursuits the garden which will look like something naturally created though manmade. It is the goal of the Chinese traditional gardens and ideal situation. 7) Ji Cheng aims to unify the environment and landscape design dialectically into Xingzao.

• Journal of the Korean Institute of Landscape Architecture
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• v.25 no.2
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• pp.117-134
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• 1997

Ji Cheng's great work on garden design theory, the 'Yuanye', written in 1631 and originally published in 1634 is the first surviving treatise and most famous and comprehensive work on the suvject in the Chinese tradition. He constructed Dongdiyuan in Changzhou about 1623, Wuyuan in Yizheng in 1631, and Yingyuan in Yangzhou about 1634. But no poems and paintings written by him still exist, and none of his known gardens has survived. Therefore his design philosophy is able to be interpreted only by his work, Yuanye. This study aims at investigating the garden design theory in Yuanye. The results were summarized as follows. 1) Yuanye reflected the garden tastes of literati, and Ji Cheng endeavored to express the deas of literati painting into gardens. 2) The essence of the garden design theory is Xingzao, and Yindi, following the existing lie of the land, and Jiejing, to borrow from the scenery, are two major activities of Xingzao. 3) Ji Cheng's design theory build up on the basis of recognizing the existence of masters. 4) Yindi is the environmental and ecological planning and design method. This is the activity to reach the state of artistry through suitability. 5) Jiejing is not merely borrowing the landscape but the making use of scenery around the garden. And only the master has the skill in fitting in with the form of the land. 6) Ji Cheng pursuits the garden which will look like something naturally created though manmade. It is the goal of the Chinese traditional gardens and ideal situation. 7) Ji Cheng aims to unify the environment and landscape design dialectically into Xingzao.

• Journal of English Language & Literature
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• v.56 no.5
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• pp.999-1026
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• 2010

There was a Golden Age of Fantasy novels in the United Kingdom in the 19th Century, which had the major writers, Lewis Carroll and George MacDonald. These writers pushed the boundaries of imagination and created a new world in which explore their own selves and societies. Fantasy novels flowered in the 1860s when a group of writers including Carroll and MacDonald published their works. These writers used the trait of dream framing to create their own fantasy world in which they took the action against the complicated and oppressive Victorian reality. Carroll's fantasy worlds of Alice in Wonderland and Through the Looking-Glass were an insane and chaotic world where the certainty of the real world was overturned. MacDonald's dream worlds of At the Back of the North Wind and the Princess books including The Princess and the Goblin and The Princess and Curdie were ideal societies in which imaginative characters could create harmony between fantasy and reality. Fantasy writers engaged in making journey to other lands to do philosophical and moral discussion critiquing Victorian society and to find insights into those problems in their works. Thus, their fantasy journey traverses time and place can produce some suggestive answers to the questions that lie in other times and realities as well as theirs.