• Title/Summary/Keyword: system of ideals

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AN ISOMORPHISM OF THE COUSIN COMPLEXES

  • Kim, Dae-Sig
    • Communications of the Korean Mathematical Society
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    • v.12 no.3
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    • pp.491-497
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    • 1997
  • Let $C(F, M)$ and $C(S^{-1}F, S^{-1}M)$ be Cousin complexes for a modula M and a module $S^{-1}M$ over a commutative Noetherian ring with respect to a filtration F and a filtration $S^{-1}F$ respectively. In this paper, it is shown that there is an isomorphism between the Cousin complexes $S^{-1}C(F, M)$ and $C(S^{-1}F, S^{-1}M)$.

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ON THE STRUCTURE OF GRADED LIE TRIPLE SYSTEMS

  • Martin, Antonio Jesus Calderon
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.163-180
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    • 2016
  • We study the structure of an arbitrary graded Lie triple system $\mathfrak{T}$ with restrictions neither on the dimension nor the base field. We show that $\mathfrak{T}$ is of the form $\mathfrak{T}=U+\sum_{j}I_j$ with U a linear subspace of the 1-homogeneous component $\mathfrak{T}_1$ and any $I_j$ a well described graded ideal of $\mathfrak{T}$, satisfying $[I_j,\mathfrak{T},I_k]=0$ if $j{\neq}k$. Under mild conditions, the simplicity of $\mathfrak{T}$ is characterized and it is shown that an arbitrary graded Lie triple system $\mathfrak{T}$ is the direct sum of the family of its minimal graded ideals, each one being a simple graded Lie triple system.

THE MULTILEVEL SECURITY PROBLEM OVER CLASS SEMIGROUPS OF IMAGINARY QUADRATIC NON-MAXIMAL ORDERS

  • KIM, YONGTAE
    • Honam Mathematical Journal
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    • v.28 no.2
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    • pp.185-196
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    • 2006
  • A scheme based on the cryptography for enforcing multilevel security in a system where hierarchy is represented by a partially ordered set was first introduced by Akl et al. But the key generation algorithm of Akl et al. is infeasible when there is a large number of users. In 1985, MacKinnon et al. proposed a paper containing a condition which prevents cooperative attacks and optimizes the assignment in order to overcome this shortage. In 2005, Kim et al. proposed key management systems for multilevel security using one-way hash function, RSA algorithm, Poset dimension and Clifford semigroup in the context of modern cryptography. In particular, the key management system using Clifford semigroup of imaginary quadratic non-maximal orders is based on the fact that the computation of a key ideal $K_0$ from an ideal $EK_0$ seems to be difficult unless E is equivalent to O. We, in this paper, show that computing preimages under the bonding homomorphism is not difficult, and that the multilevel cryptosystem based on the Clifford semigroup is insecure and improper to the key management system.

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¿México: revolución truncada o democracia intempestiva? El problema: equidad-calidad en la educación básica

  • Mendez-Ramirez, Oswaldo
    • Iberoamérica
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    • v.12 no.2
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    • pp.383-428
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    • 2010
  • To make a critical revision on the inherited social problems throughout the time in Mexico, not always turns out to be easy task, especially when the subject is lent to approach it from diverse perspective, one of them, the educative one. To analyze the low quality of the educative supply is complex subject. One of the maximum profits of institutional revolutionary Mexico was the creation of the Public Education Ministry in 1921. In the post-revolutionary and modern period, the seventies were characterized to be applied to the growth the infrastructure and the fortification of the educative system following the policy of "modernization and development". From the eighties, to lift the quality of the education was considered like one of the specific rules in the strategy of the call "educative revolution". In the nineties, through political programs and agreements, structural changes within the educative system were carried out with the intention to lift the quality of the services. In synthesis, the perspective in the educative policy of Mexico during the last thirty years of century xx, or post-revolutionary period, can be understood, from at least five specific conditions: educative profits in cover, modifications in the educational programs and contents, profits in the political agreements between the agents who take part within the educative system, changes and modifications to the laws applicable to the education, and; the search of the fairness through the compensatory programs. This paper tries to give answer to questions such as: The educative system reflects the ideals of the revolution? The present educative system is the product of a truncated revolution or the fruit of an untimely democracy?

The Social Effects of Higher Education Policy in South Korea: The Rise of the "Pig Mum" phenomenon

  • Lee, Eugene;Calonge, David Santandreu;Hultberg, Patrik
    • Journal of Contemporary Eastern Asia
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    • v.18 no.1
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    • pp.70-93
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    • 2019
  • The contemporary educational system in South Korea is built on high-stakes standardised tests, a manifestation of the national project of social reconstruction and reform. One recent outcome is the emergence of an unfamiliar yet ubiquitous phenomenon: the "pig mum"; a Korean parent who is fully involved in organising, scheduling and managing the educational process from primary to secondary school for a group of children in a neighbourhood. Based on a quasimixed method utilizing a survey of a group of students and parents, this pilot study explores the "pig mum" phenomenon and its linkage to education policy. The authors conclude that the current educational policy fails to achieve the ideals it professes to value. This creates deep and negative societal norms that endanger a growing generation of students by creating a parallel private education market environment where "pig mums" thrive.

COHEN-MACAULAY MODULES OVER NOETHERIAN LOCAL RINGS

  • Bahmanpour, Kamal
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.373-386
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    • 2014
  • Let (R,m) be a commutative Noetherian local ring. In this paper we show that a finitely generated R-module M of dimension d is Cohen-Macaulay if and only if there exists a proper ideal I of R such that depth($M/I^nM$) = d for $n{\gg}0$. Also we show that, if dim(R) = d and $I_1{\subset}\;{\cdots}\;{\subset}I_n$ is a chain of ideals of R such that $R/I_k$ is maximal Cohen-Macaulay for all k, then $n{\leq}{\ell}_R(R/(a_1,{\ldots},a_d)R)$ for every system of parameters $a1,{\ldots},a_d$ of R. Also, in the case where dim(R) = 2, we prove that the ideal transform $D_m(R/p)$ is minimax balanced big Cohen-Macaulay, for every $p{\in}Assh_R$(R), and we give some equivalent conditions for this ideal transform being maximal Cohen-Macaulay.

A Study on the Transition of Architectural Engineering Education in the USA, 1890-1950 -With the Professionalization of Architectural Discipline- (미국(美國) 건축공학(建築工學) 교육(敎育)의 전개(展開), 1890-1950 -건축(建築) 관련분야(關聯分野)의 전문화과정(專門化過程)과 연결하여-)

  • Ryu, Jeon-Hee
    • Journal of architectural history
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    • v.8 no.2 s.19
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    • pp.73-85
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    • 1999
  • An analysis of the courses from American architectural institutions during the period of $1890^{\sim}1950$ reveals an emergence of a distinction between a purely architectural and an architectural engineering discipline. A reflection of the economic growth, industrialization and urbanization of a nation; the education of the American architect during that period assumed a professional character. In contrast to European technical institutions which concentrate on the engineering aspects of architecture, American institutions developed a more comprehensive, design oriented curriculum within the framework of the American university system. The establishment of a system of formal education for architects and architectural engineers, replacing the tradition of apprenticeship, made it possible to train future professionals according to their ideals. But the objectives, contents and products of these curricula took on divergent characteristics from institution to institution. The growth of legal regulations( ie. ACSA, NAAB, NCARB, ASEE, etc.) governing the registration of architects and engineers, emphasized the legitimate concern within the profession to determine an acceptable standard of professional education. Such regulatory standards influenced the transition of architectural engineering education in institutions including the case of MIT. As a result, the ambivalence in architectural engineering programs found specific resolution in programs, such as architectural engineering, building engineering, construction or civil engineering.

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The Ideologies and the Systems of the Healthy Family Act (건강가정기본법의 이념과 체계)

  • 조희금;박미석
    • Journal of Families and Better Life
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    • v.22 no.5
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    • pp.331-344
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    • 2004
  • Korean society recently realized the needs for a system that may effectively prevent and/or resolve different family problems caused by the rapidly changing modem society. In order to carry out this objectives. The Healthy Family Act has been legislated and is to be enforced from the 1st of January, 2005. Legislating the law is a means to establish an administrative and institutional structure that may bring in the total welfare system centered around family, so as to promote healthy families in our society. This is also a land marking event that has shifted the paradigm from the welfare system focusing on individual protection to the total welfare system based upon family units. Hence, this study is to examine the specific concepts of 'healthy family,' which is the goal of The Healthy Family Act, and thus to propose the objectives of the law by analysing the institutional system of it. The Healthy Family Act, which consists of major 37 items of 5 chapters with supplementary provisions, aims at the five ideals as follows. The first is to promote the healthy family which is the basis of individual welfare and well-to-do society. The second is to emphasize the importance of family and to provide total service system for family unit. The third is to establish the family value which supports gender-equality and democracy. The fourth is to reinforce the governmental support for independence and cooperation of family. And the fifth is to promote the in-advance and precautionary support for family problems. The law also includes administrative methods for Strong Families Center, different projects and programs for promoting healthy families, roles of Healthy Family Specialist and means to cultivating them, and the policies to specifically carry out the ideas of the law. It is now important to recognize that the development of nation is based on the healthy families and to put much effort in carrying out the ideas and goals of The Healthy Family Act.

The Question of 'State and Art' with regard to Soviet Socialist Realism (소련 사회주의 리얼리즘에 관하여: '국민과 예술'의 문제)

  • Alexander, Morozov
    • The Journal of Art Theory & Practice
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    • no.7
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    • pp.125-163
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    • 2009
  • The artworks of Socialist Realism of the former Soviet Union, with the beginning of the 21st century, are gaining a new attention from art collectors. One reason for this might consist in the fact that relevant art pieces exemplify the ways in which they visualize ideas on the basis of their high-profile art tradition and also in which they integrate their utopian ideals with mysticism. These aspects of the Soviet art goes far beyond the wide-spread assumption that their art, as a means of propaganda, principally represents a political allegiance to the system. With Stalin coming into power in the 1930s, the artistic trend of Socialist Realism obtained a nationwide sympathy and support from people, giving birth to a new art which essentially corresponded to the demands of the political power. An official art current of the USSR over the period from the 1930s to 1950s, Socialist Realism was in tandem with the Communist commitment to the party and popularity, symbolizing a loyalty to the cause. It was thus characterized by plainness and lucidity so that ordinary people could gain easy access to art. Its salient feature, over an entire range of art, was an optimistic pursuit of a utopian dream. Therefore, it tallied with the popular sentiment for a Communist paradise, giving form to their beliefs in human agency working at the materialist world and also to such abstract concepts as force, fitness, and beauty by adding even mythical ideals. Its main subject matter includes harvest feasts of collective farms, imaginary socialist cities, grand marches of heroic laborers and in this way it served as a propaganda for a sacred utopia of socialist totalitarianism. On the other end of the spectrum, however, rose the second camp of art, which put an emphasis on bona-fide artistic activities of plastic art and on an artist's personal expression and freedom, as opposed to the surface optimism of Socialist Realism. Central to the Russian Avant Garde art, which prized the above-mentioned values, were Malevich's Geometric Abstraction and A. Rodchenko's Constructivism. Furthermore, in the transitional era of the late 20th century and the 21st century it was recognized that film art or electronic media art, rather than traditional genre of paintings, would function as a more efficient way of propaganda. These new genres were made possible by ridiculing the stereotypes of the Russian lifestyle and also by ignoring ethical or professional dimensions of artworks. That is, they reinvented themselves into a sort of field art, seemingly degrading the quality of artworks and transforming them into artifacts or simulacres in the very sense of post-modernism. The advent of the new era brought about the formation and occupation of pop culture of the younger generations, calling into question the idea of art as the class-determined. It also increased the attention to field art, which extensively found way to modern art centers, galleries, and exhibition projects. It can be stated that this was a natural outcome of human nature.

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The Synthetic Comprehension of 'Humanitarianism,' 'Accompaniment Society,' and the 'Resolution of Grievances for Mutual Beneficence' and Their Meaning: a Search for the Active Practice of Good (홍익인간·대동사회·해원상생의 회통과 의미 - 선(善)의 적극적 실천을 위한 모색 -)

  • Son, Heung-chul
    • Journal of the Daesoon Academy of Sciences
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    • v.30
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    • pp.131-162
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    • 2018
  • In this article, I studied how we can heal resentment (㝨) and regret (恨) in the present and future world that are deeply rooted in our society, and I sought out the theoretical and practical measures to realize peace and mental well-being of the Korean people. For this purpose, firstly, I reinterpreted the content of 'Hongik Ingan Humanitarianism (弘益人間)' as an idea and its practical methods into a critical perspective, and confirmed that it is the ideological and emotional root of the Korean people. And I looked at concrete action plans for the present and in the future. Next, I studied the contents of the 'Accompaniment Society (大同社會)' for studying abroad and how to realize its ideals. Through this process, it was confirmed that Accompaniment Society is also deeply rooted in the sentiments of the Korean people. I also found out that more active and practical theoretical methodological studies are necessary to heal the resentment and regret common in our society. Lastly, I studied the fundamental and essential meaning of 'The Resolution of Grievances for Mutual Beneficence (解冤相生),' the major, representative concept of 'The Truth of the Great Itineration (大巡眞理).' Through this process, I confirmed the possibility that the Resolution of Grievances for Mutual Beneficence could be transformed into a universal value and could be sublimated to a practical norm in the future. In particular, I found that the logic of "the Resolution of Grievances for Mutual Beneficence" is highly practical in resolving feelings of resentment in the Korean people. Through the above study, 'The Resolution of Grievances for Mutual Beneficence' of 'The Truth of the Great Itineration' can emerge as a 'win-win' system of ethics in the future through the synthetical comprehension of the ideals of 'Hongik Ingan Humanitarianism' and Accompaniment Society.