• Title/Summary/Keyword: Ding

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DING PROJECTIVE DIMENSION OF GORENSTEIN FLAT MODULES

  • Wang, Junpeng
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.1935-1950
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    • 2017
  • Let R be a Ding-Chen ring. Yang [24] and Zhang [25] asked whether or not every R-module has finite Ding projective or Ding injective dimension. In this paper, we give a new characterization of that all modules have finite Ding projective and Ding injective dimension in terms of the relationship between Ding projective and Gorenstein flat modules. We also give an example to obtain negative answer to the above question.

HOMOLOGICAL PROPERTIES OF MODULES OVER DING-CHEN RINGS

  • Yang, Gang
    • Journal of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.31-47
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    • 2012
  • The so-called Ding-Chen ring is an n-FC ring which is both left and right coherent, and has both left and right self FP-injective dimensions at most n for some non-negative integer n. In this paper, we investigate the classes of the so-called Ding projective, Ding injective and Gorenstein at modules and show that some homological properties of modules over Gorenstein rings can be generalized to the modules over Ding-Chen rings. We first consider Gorenstein at and Ding injective dimensions of modules together with Ding injective precovers. We then discuss balance of functors Hom and tensor.

DING INJECTIVE MODULES OVER FROBENIUS EXTENSIONS

  • Wang, Zhanping;Yang, Pengfei;Zhang, Ruijie
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.217-224
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    • 2021
  • In this paper, we study Ding injective modules over Frobenius extensions. Let R ⊂ A be a separable Frobenius extension of rings and M any left A-module, it is proved that M is a Ding injective left A-module if and only if M is a Ding injective left R-module if and only if A ⊗R M (HomR(A, M)) is a Ding injective left A-module.

The Lost Das Ding and A Posthumous Subject of Lacan's Psychoanalysis - Mugunghwa Flowers Do Not Bloom - (잃어버린 das Ding과 라캉 정신분석의 사후 주체 - 무궁화 꽃은 피지 않는다 -)

  • Lee, Dong Seok
    • The Journal of the Convergence on Culture Technology
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    • v.8 no.5
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    • pp.127-136
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    • 2022
  • This thesis is a study of "Ethics Seminar VII of Psychoanalysis" that Jacques Lacan (1901~1981) has the most attachment to.A translated version has not yet been released in Korea. The original French and English translations of Lacan Seminar VII were used for the study version. Lacan introduces an important concept in a seminar on the ethics of psychoanalysis. In German, it is 'das Ding'. It is translated as 'big thing' in Korean. Lacan introduces the term in French as 'La Chose'. In English, it is The Thing. "Big things" are also things that my mother gave me when I was young. It can also be interpreted as a loss of childhood that is not completely resolved. Therefore, Lacan' subject refers to develops a lifelong journey to recover the lost object. Lacan presents this point as the starting point of the psychoanalytic ethics. We try to re-examine the issue of ethics by tracing 'das Ding' as a lost place in the main article. First, We will look at the origins of das Ding. Second, through the relationship between love and das Ding, We will discuss who tries to fill Ding's void. Third, We will try to interpret the relationship between American ego psychology and das Ding in Lacan's scheme. Lastly, a posthumous subject will be dealt with through the play 'Mugunghwa has bloomed.'

DING PROJECTIVE MODULES WITH RESPECT TO A SEMIDUALIZING MODULE

  • Zhang, Chunxia;Wang, Limin;Liu, Zhongkui
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.339-356
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    • 2014
  • In this paper, we introduce and discuss the notion of $D_C$-projective modules over commutative rings, where C is a semidualizing module. This extends Gillespie and Ding, Mao's notion of Ding projective modules. The properties of $D_C$-projective dimensions are also given.

Modeling of Input Buffered Multistage Interconnection Networks using Small Clock Cycle Scheme (작은 클럭 주기를 이용한 다단 상호연결 네트워크의 성능분석)

  • Mun Youngsong
    • Journal of Internet Computing and Services
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    • v.5 no.3
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    • pp.35-43
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    • 2004
  • In packet switching using multistage interconnection networks (MIN's), it is generally assumed that the packet movements successively propagate from the last stage to the first stage in one network cycle. However, Ding and Bhuyan has shown that the network performance can be significantly improved if the packet movements are confined within each pair of adjacent stages using small clock cycles. In this paper, an analytical model for evaluating the performance of input-buffered MlN's employing this network cycle approach is proposed, The effectiveness of the proposed model is confirmed by comparing results from the simulation as well as from Ding and Bhuyan model.

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Confucianism and Confucian Connotation in Ding Shihan's(丁時翰) Four Poetry (丁愚潭先生四詩之儒賢意蘊)

  • ZHANG, Jing-hua
    • The Journal of Korean Philosophical History
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    • no.27
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    • pp.469-496
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    • 2009
  • Ding Shihan(styled Yutan; 丁時翰, 愚潭) was famous for his four-seven differentiation(四七辨證) on the area of neo-Confucianism. Yet few comments and criticism were made on his poetry, for rarely of which was handed down from generations. Hence there is a mystry on his talent in terms of poetics. Noted by Zhou Dunyi(styled Lianxi; 周敦頤, 濂溪) and Zhuxi(styled Hui'an; 朱熹, 晦庵) in Song Dynasty, most of neo-Confucianism scholars after them were expert at intoning and thus formed the poetic school of "Elegance of Lian-Luo"(濂洛風雅). Therefore, there is also a mystry on how his poetry related to his works of neo-Cunfucianism. During his whole life, Ding never involved himself in politics as an official. He read Confucian classics a lot, and was also proficient in classics of Buddhism and Taoism. In addition, he was fond of travelling in nature. A superfical conclustion is made based on these situation that his thoughts was closely linked with Confucianism, Taoism and Buddhism. Therefore, it is worth elaborating whether his thoughts belonged to Confucianism, Taoism and Buddhism, and whether he was a pure Confucian( 醇儒) through his whole life.